To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of the test statistic is computed as t=1.42. If we choose a right tailed test at a 5% significance level, we
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
b) do not reject the null hypothesis and conclude that the mean IQ is greater than 100
c) reject the null hypothesis and conclude that the mean IQ is not greater than 100
d) reject the null hypothesis and conclude that the mean IQ is greater than 100

Answers

Answer 1

Answer:

[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 100[/tex]  

Alternative hypothesis:[tex]\mu > 100[/tex]  

The statistic for this case is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

The statistic calculated for this case  [tex]t_{calc}= 1.42[/tex]

The degrees of freedom are given by:

[tex]df=n-1=30-1=29[/tex]  

Now we can find the p value using tha laternative hypothesis and we got:

[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100


Related Questions

An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?

Answers

Answer:

its A

Step-by-step explanation:

ED 2020

Can anyone help please? With questions 4 please

Answers

Answer:

a. The area of the garden is 11.68 [tex]m^{2}[/tex]

b. $192 and then $177

Step-by-step explanation:

a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37

then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle

so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]

b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)

16*$12=$192, then 5($33)+$12=$177

Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?

Answers

Answer:

A"(-3, 1)

B"(-3, 3)

C"(-6, 3)

D"(-6, 1)

Step-by-step explanation:

first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.

you will get these;

A"(-3, -1)

B"(-3, -3)

C"(-6, -3)

D"(-6, -1)

Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.

HOPE THIS HELPS :))

3.5.49 X 0.67 *
Your answer
What is the answer

Answers

Answer:

2.37783 or 23.7783

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.

Answers

Answer:1017.36 cm^3

Step-by-step explanation:

Diameter=18cm

Radius=r=18/2=9cm

Height=h=12cm

Volume of cone=1/3 x π x r^2 x h

Volume of cone=1/3 x 3.14 x 9^2 x 12

Volume of cone=1/3 3.14 x 9 x 9 x 12

Volume =(1x3.14x9x9x12) ➗ 3

Volume =3052.08 ➗ 3

Volume =1017.36

Volume of cone=1017.36 cm^3

Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answers

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        [tex]p_1 = 0.100[/tex]

        [tex]p_2 = 0.200[/tex]

        [tex]p_3 = 0.300[/tex]

        [tex]p_4 = 0.400[/tex]

The sum of the probability is  

       [tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]

It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm When did the truck start driving through the neighborhood? Choose 1 answer:

Answers

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes

Proved: 28 minutes

A bottle of has a capacity of 0.43 L. How many milliliters of shampoo does the bottle contain (1 L = 1000 mL

Answers

Answer:

1 = 1000

0.43 L = _________ mL

0.43 * 1000 = 430 mL

430 mL is the answer.

Hope this helps

PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS

Answers

Answer:

Creating a diagram..

Step-by-step explanation:

Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)

a. 7 do not own anything.

b. the probability that someone owns a bone or a stick is 50%.

c. the probability that someone owns a rock and a bone is 14%.

d. the probability that someone owns at least 2 items is 42%.

e. the probability that someone owns only 1 of these items is 51%.

Please tell me if im wrong! im only a student .m.

A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre

Answers

Answer:

  23 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...

  Tan = Opposite/Adjacent

  tan(48°) = h/(21 m)

  h = (21 m)tan(48°) ≈ 23.32 m

The height of the flagpole is about 23 meters.

Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.

Answers

Answer:

P(even or odd prime) = 0.85

There is 85% probability of rolling an even number or odd prime number.

Step-by-step explanation:

We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.

We are asked to find the probability of rolling an even number or odd prime number.

We know that probability is given by

P = Number of desired outcomes/Total number of outcomes

Let us first count the number of desired outcomes.

In the range of 1 to 20 we have following even numbers,

2, 4, 6, 8, 10, 12, 14, 16, 18, 20    (10 outcomes)

P(even) = 10/20

P(even) = 0.50

In the range of 1 to 20 we have following odd prime numbers,

3, 5, 7, 11, 13, 17, 19    (7 outcomes)

P(odd prime) = 7/20

P(odd prime) = 0.35

So the required probability is

P(even or odd prime) = 10/20 + 7/20

P(even or odd prime) = 0.50 + 0.35

P(even or odd prime) = 0.85

Therefore, there is 85% probability of rolling an even number or odd prime number.

Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.

OR corresponds to addition of probabilities

AND corresponds to multiplication of probabilities

What does the x coordinate of a point tell you?

Answers

Answer:

X is for the height

Step-by-step explanation:

Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.

the y coordinate show the length and the y measure the height

I hope it'll help you much

Thank you for asking

The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)

Answers

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

Evaluate 12 ➗(0.9 -0.04

Answers

Answer:

13.9534883721

Step-by-step explanation:

12/(0.9-0.04)=12/0.86=13.9534883721

If AB = 10, what is the length of DE?
11
5
12
3


Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

what's the solution to the inequality 1 2/3 > r - 7/12​

Answers

Answer:

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality PropertiesRewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12Isolate r:                    9/4 ≥ rRewrite:                    r ≤ 9/4Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

1.  Understand your problem

2. Gather your resources

3. Come to an answer

4. Check your answer and present the solution

Step-by-step explanation:

Pls help with this one I give brainliest thank you! Number 7

Answers

Answer:

length x width x height = volume

5.5 x 2 = 11 x 3 = 33

33 ft.

hope this helps

if you have any questions you can ask!

Step-by-step explanation:

The answer is B) 33
You have to times the height • width • length

express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.​

Answers

Answer:

z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)

OR

z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)

p = (3/√2) = 2.1213

q = (1/√2) = 0.7071

OR

p = (-3/√2) = -2.1213

q = (1/√2) = 0.7071

Step-by-step explanation:

z = √(4 + 3i)

Let the complex number z be equal to

z = p + qi

So, we can write

z = p + qi = √(4 + 3i)

p + qi = √(4 + 3i)

Square both sides

(p + qi)² = [√(4 + 3i)]²

p² + pqi + pqi + (qi)² = (4 + 3i)

p² + 2pqi + q²i² = 4 + 3i

note that i² = -1

p² + 2pqi - q² = 4 + 3i

(p² - q²) + 2pqi = 4 + 3i

Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other

(p² - q²) = 4 (eqn 1)

2pq = 3 (eqn 2)

From eqn 2

p = (3/2q)

p² = (9/4q²)

Substituting this into eqn 1

(9/4q²) - q² = 4

multiplying through by 4q²

9 - 4q⁴ = 16q²

4q⁴ + 16q² - 9 = 0

let q² = x, q⁴ = x²

4x² + 16x - 9 = 0

Solving the quadratic equation

x = 0.5 or -4.5

q² = 4

q² = 0.5 or q² = -4.5

q = √0.5 or √-4.5

q = (1/√2) = (√2)/2 = 0.7071

Or q = i(3/√2) = i(3√2)/2 = 2.1213I

p = (3/2q)

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = p + qi

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

z = (3/√2) + (1/√2)î = (1/√2) [3 + i]

= 2.1213 + 0.7071i

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = i(1/√2) + [i(3/√2) × i]

z = i(1/√2) - (3/√2)

z = -(3/√2) + i(1/√2)

z = (1/√2) [-3 + i]

z = -2.1213 + 0.7071i

Hope this Helps!!!

50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.

Answers

Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.

Step-by-step explanation:

The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.

Solve : 6(x-4) + 3(x+7)= 3 ​

Answers

Answer:

X = 2

Step-by-step explanation:

6(x-4) + 3(x+7)= 3 ​

Open parentheses

6x-24+3x+21=3

Simplify

3x-3=3

Add 3 onto both sides

3x=6

And...

X = 2

Fifty volunteers were randomly placed into two groups. The first group was given a new hair growth treatment and the other group was given a placebo treatment. This is an example of

Answers

Answer:

Placebo controlled experiment.

Step-by-step explanation:

The placebo effect is when the effectiveness of a treatment is influenced by the patient’s perception of how effective they think the treatment will be, so a result might be seen even if the treatment is ineffectual. In order to reduce this effect, a dummy treatment (placebo) is given to a control group and the result is compared.

given the function defined below, what is the value of the 4th term?
f (1) = -4
f (n) = -3f (n-1) +5
f (4) =

Answers

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

Explanation:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         f(2) = -3 f(2-1) +5

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                        f(3) = -3 f(3-1) +5

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

                 f(4)  = -3f(4-1) +5

                 f(4)  = -3f(3)+5

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

Final answer:-

The 4 t h term is   f(4)   = 143

         

Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?

Answers

Answer:

$13.50

Step-by-step explanation:

$54 divided by 4 is $13.50.

How to add or subtract this polynomial

Answers

Answer:

18x^2 + 9x - 5

Step-by-step explanation:

Combine like terms:

(9x^2-8) + (9x^2+9x+3)

= 9x^2 + 9x^2 + 9x - 8 + 3

= 18x^2 + 9x - 5

A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.

Answers

Answer:

(24 + 12) x 2 = 72 inches


What percentage of students who take honors English are taking a non-honors math class?

Answers

Answer:

B

Step-by-step explanation:

Took quiz GL

Answer:

the answer is not B

Step-by-step explanation:

the answer is A I actually took the quiz

(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.

Answers

Find the given attachments

Which of the following is a ray as shown in the drawing?

Answers

Answer:

DH

Step-by-step explanation:

this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.

What’s the correct answer for this?

Answers

Answer:

The first option. ∠2 and ∠4 are vertical angles.

Step-by-step explanation:

The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.

Answer:

C

Step-by-step explanation:

Angle 1 is supplementary to both 2 and 4. It's correct

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What are our cheat words for finding slope? Which of the following sentences contains an infinitive phrase?A.Frustrated by his sister, Andrew yelled.B.Frank thought it was a great idea to play at home.C.He walked to the kitchen for a glass of warm milk.D.Running fast, she waved to the bus approaching her stop. Suppose that in April 2023, policymakers undertake the type of policy that is necessary to bring the economy back to the natural level of output, given the scenario just described. In June 2023, exports decrease because Japan implements trade restrictions on goods. Because of the _______ associated with implementing monetary and fiscal policy, the impact of the policymakers' stabilization policy will likely _____________________ once the effects of the policy are fully realized. What type of triangle is shown in the image? Acute triangle Right triangle Equilateral triangle Obtuse triangle Please help with this The corporate charter of Andromeda Co. authorized the issuance of 21 million, $1 par common shares. During 2021, its first year of operations, Andromeda had the following transactions: January 1 sold 6 million shares at $26 per share June 3 purchased 13 million shares of treasury stock at $29 per share December 28 sold the 4 million shares of treasury stock at $31 per share What amount should Andromeda report as additional paid-in capital in its December 31, 2021, balance sheet Select the correct answer.Which organization did world powers create immediately after World War II?O A.League of NationsOB.NAFTA.United NationsOD.Centers for Disease ControlO E. Joint Chiefs of StaffResetNov What clauses Roosevelt to break off peace talks with Japan in July, 1941 What assumptions did the West have about a free Turkey?O O O OA. It challenged their power in the former Ottoman Empire and threatened the balance of power in the region.B. It was supported by the west as the only avenue to democracy in Turkey.C. The West was largely concerned with fighting Nazi Germany.O D. The League of Nations voted unanimously to support free and fair elections in Turkey. what are two areas if physical science??? On November 27, the board of directors of Armstrong Company declared a $.50 per share dividend. The dividend is payable to shareholders of record on December 7 on December 24. Armstrong has 25,500 shares of $1 par common stock outstanding at November 27. Journalize the entries needed on the declaration and payment dates. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) How many mL are in a cubic centimeter?1,00010,000100.000none of the above a doctor works in a.... Which of the following parasites is also known as scabies? a Sarcoptic mange b Ear mites c Ticks d Hookworms Consider the trinomial x2 - 9x + 18.Which pair of numbers has a product of ac and a sumof b? 5. The longest leg of a right triangle is 8 meters and another side is 6 meters. Calculate theperimeter. 5 A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction what is the probability of spinning different numbers when the spinner below is spun twice What ended Nkrumahs rule If all goes according plan, Robo-Tech will soon have access to a new valuable external financing resource, that it can use to finance it future growth potential. To Do a. For Robo-Tech, what are the advantages of being a publicly listed company? b. For Robo-Tech, what are the disadvantages of being a publicly listed company? c. If Robo-Tech prefers that its shares trade on a centralized exchange, what listing exchanges make the most sense for Robo-Tech and why? d. Once Robo-Tech has sold its shares to the public does it care whether capital markets are efficient? In other words, how does market efficiency affect Robo-Tech?