A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26. Your research objective is to show that the population mean μ exceeds 2.4. Calculate the p-value for the test statistic z = 2.58. (Round your answer to four decimal places.)

Answers

Answer 1

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=2.4\\\\H_a:\mu> 2.4[/tex]

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=45-1=44[/tex]

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t>2.5801)=0.0066[/tex]

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.


Related Questions

If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?

Answers

Answer:

5%

Step-by-step explanation:

To find the tax, we take the price times the tax rate

2 = 40* rate

Divide each side by 40

2/40 =rate

.05 = rate

Changing to percent form

5% = rate

Answer:

tax rate = 2 / 40  = 1 /20 = 0.05 *100 = 5%

Step-by-step explanation:

There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?

Answers

Answer:

3/8

Step-by-step explanation:

add 5+1+3=9

and there is 3 cheese pizza so its 3 over 8.

Answer:

3/9

Step-by-step explanation:

Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.

Answers

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?

Answers

Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

PLEASE HELP WITH THIS EASY QUESTION!! EXPLANATION NEEDED!!

Answers

Answer:

100

Step-by-step explanation:

(b/2)^2

b= -20

(-20/2)^2

(-10)^2

100

Which of these expressions is equivalent to log (9^2)?
A. log (2) - log (9)
B. 2 * log (9)
C. log (2) + log (9)
D. log (2) * log (9)

Answers

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

Learn more here: https://brainly.com/question/23882267

Which statement describes a cause of screwed data

Answers

a sample that excludes subjects that are not part of the population being measured.

Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.

Answers

Answer:

~ 0.375 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      48       =           1      ⇒   x - centimeters of the snowflake in real life

       18                    x

2. Now let us cross multiply, and solve through simple algebra for x:

48 * x = 18,

x = 0.375 centimeters of the snowflake in real ife

Hotel 3 provides a 6 hour booking for 120 delegates in one room (including tea and lunch).how much would this cost?

Answers

Answer:

  $3840

Step-by-step explanation:

The total cost is ...

  (6 hr)(cost per hr) +(120 persons)(food cost per person)

  = 6($190) +120($15 +7.50)

  = $3840

The booking at Hotel 3 would cost $3840.

A tire manufacturer has 1000 units of raw rubber to use in producing radial tires for passenger cars and tractor tires. Each radial tire requires 5 units of rubber; each tractor tire requires 20 units. Labor costs are $80 for a radial tire and $120 for a tractor tire. Suppose the manufacturer does not wish to pay more than $15,000 in labor costs and wishes to make a profit of $100 per radial tire and $250 per tractor tire. How many of each kind of tire should be made in order to maximize profit

Answers

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. It can be described with the equation -4h=-14. What value of h makes the equation true?

Answers

The equation is -4h = -14

To find h, divide both sides of the equation by -4:

H = -14 / -4

H = 3.5 hours.

Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g

Answers

Answer:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Step-by-step explanation:

Information provided

[tex]X_{1}=6[/tex] represent the complaints with the old dough

[tex]X_{2}=16[/tex] represent the complaints with the new dough

[tex]n_{1}=385[/tex] sample 1 selected  

[tex]n_{2}=340[/tex] sample 2 selected  

[tex]p_{1}=\frac{6}{385}=0.0156[/tex] represent the proportion of complaints with the old dough

[tex]p_{2}=\frac{16}{340}=0.0471[/tex] represent the proportion of complaints with the new dough

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

Hypothesis to test

We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]    

The statitsic is given by:

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303[/tex]  

Replacing the info provided we got:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he chose

Answers

Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.

Step-by-step explanation:

a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?

Answers

Answer: 32

Step-by-step explanation:

All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)

Answer:

The answer is 32 and the next one is C, 24x+32.

Step-by-step explanation:

what is the area of the figure below

Answers

Answer:

58

Step-by-step explanation:

Answer: 58 in.^2

Step-by-step explanation:

Carla Ridley is a high school algebra teacher. Her annual salary is $38,625.00. If she receives a pay check every month of the year, what is her monthly salary?

Answers

Answer:

3218.75 a month

Step-by-step explanation:

The quarterback Tom Brady completes 60% of his passes. To simulate the outcome of a single pass we use the digits 0, 1, 2, 3, 4, and 5 to represent the outcome "the pass is completed" and the digits 6, 7, 8, and 9 to represent the outcome "the pass is not completed." To be confident that our simulation is accurate, one needs to :

A. Repeat the simulation several more times
B. Assign new digits to represent outcomes
C. Take the average of the results of Line 134 and Line 101

Answers

Answer:

A. Repeat the simulation several more times

Step-by-step explanation:

The purpose of the simulation model is to represent the effectivity of the passes.

The proportion of successful passes is 60%.

As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.

But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.

given h(x)=-2x+5, find h(-6)

Answers

This question is easy! it's simply asking to plug in -6 instead of the variable x.

h(-6)=-2(-6)+5

       =12+5

       =17

17 is your final answer.

The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over

Answers

Answer:

I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)

Step-by-step explanation:

Expenses for August= 878.65 + 52.50 + 266.67 +  94.52 + 45.03 + 42.65

= $1380.02

Income-Expenses= 3750-1380.02= 2369.98

a semitruck has 18 wheels. the semitruck has 3 times as many wheels than a garbage truck.how many wheels does a garbage truck have? need by 11;00 am

Answers

Answer:

The answer is the garbage truck had 6 wheels

Step-by-step explanation:

Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.

Hope this helps, its my first time answering.

:
What is 475.189 rounded to the nearest hundredth?

Answers

Answer:

It is:475.19.

HOPE THIS HELPED

Answer:

475.19.

Step-by-step explanation:

The hundredths place is two places to the right of the decimal, or (0.01).

In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:

475.189 --> 475.19.

a man received a salary of 4920 in two years what is his monthly salary?​

Answers

Answer:

$205 per month

Step-by-step explanation:

Answer:

$205

Step-by-step explanation:

there are 24 months in 2 years

4920/24= 205

Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?

Answers

Answer:

$172.50

Step-by-step explanation:

1150 * 0.15 = 172.5

Answer:

the answer is 172.50

Step-by-step explanation:

So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer

Step-by-step explanation

1150 * 0.15 = 172.5

If it was helpful can u mark me brainliest pls!!!!!!!!!!!

. The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)?

Answers

It’s 7 pounds. 8 ounces per day then multiply that by 7 days which is 56 ounces then multiply 56 by 2 which makes 112, then multiply 112 by 16 which stands for ounces and you get 7.


Drag the item from the item bank to its corresponding match.

Match the prism or cylinder with its volume.

Answers

Answer:

i cant help you because i cant see the things on the picture if u get a better picture i can help

Step-by-step explanation:

a. Using the pairs of values for all 10 ​points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 )​, use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts​ (a) and​ (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 ​points? ModifyingAbove y with caretequals 1.647plus 0.706x​ (Round to three decimal places as​ needed.) b. What is the equation of the regression line for the set of 9 ​points? ModifyingAbove y with caretequals 6 ​(Round to three decimal places as​ needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line​ changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.

Answers

Answer:B. The regression line​ changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.

Step-by-step explanation:

What is the value of a in the equation below? 2a + 3 = 4a + 5
Please show work :)

Answers

The answer is .75=a

2a+3=4a+5
-2a -2a
3 = 4a+5
-5 -5
3 = 4a
3/4 4/4
.75 = a

Use the diagram to find the indicated angle measures.
m<1= degrees
m<2= degrees
m<3= degrees
Please help !

Answers

Answer:

Step-by-step explanation:

its m<2=degrees

Answer:

m∠1 = 131

m∠2 = 49

m∠2 = 112

Step-by-step explanation:

اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟​

Answers

Alright idk y u said that here but ok

word problem of addition or subtraction

Answers

Answer:

subtraction

Step-by-step explanation:

In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.

Answer:19

Step-by-step explanation:subtract 27 from 8.

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