The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test 148,102,152,what is the average of the extracted scores that are extreme values(outlier).​

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: mark obtained in an aptitude test by a candidate.

This variable has a mean μ= 128.5 and standard deviation σ= 8.2

You have the data of three scores extracted from the pool of aptitude tests taken.

148, 102, 152

The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134

I hope this helps!


Related Questions

23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

It is appropriate to conclude which of the following?

A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.

Answers

Answer:

Option B

Step-by-step explanation:

Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12.3

For the alternative hypothesis,

µ > 12.3

This is a right tailed test.

The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.

Let us assume a significance level of 0.05.

Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.

The correct option would be

A) The startup company has strong evidence that their AAA batteries last longer, on average.

Solve the problem 5x+(x+6)+3x

Answers

what how am I solving do I simplify

Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)

Answers

Answer:

B.)

Step-by-step explanation:

A linear equation, remember, is y = mx + b.

Identify.

A.) y = 2x + 3

B.) y = 5x^2 - 10x

C.) y = 5x - 2

D.) y = 8x

Eliminate.

Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.

Hope that helped.

Two Variable Statistics
Scatter Plots and Function Models AND PLEASE ANSWER ALL OF THE PART IF

Answers

Answer:

see step by step

Step-by-step explanation:

sorry rough sketch.

Answer:

idk

Step-by-step explanation:

what is the equation of the line?

Answers

Answer:

y=a

Step-by-step explanation:

I hate math 23457 poke help

Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}

A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}

Answers

Answer:

C

Step-by-step explanation:

The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!

Answer:

The answer is C

Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.

A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?

Answers

77 feet^2

Explanation:

Area of the wall is

8 2/5 × 18 1/3

42/5 × 55/3

14/5 × 55/1

14/1 × 11/1 = 154 feet^2

The area we want is half of this

77 feet^2

Hope this helps and answer you question

i will rate you
brainliest PLZ HELP
You will get 25 points

Answers

Answer:

i can not see the picture can you describe it

Step-by-step explanation:

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer:

A. x - 4

D. x + 8

Step-by-step explanation:

To find the two binomial that are factors of the trinomial, you split the middle term into two:

[tex]x^2[/tex] + 4x - 32

[tex]x^2[/tex] - 4x + 8x - 32

Group:

([tex]x^2[/tex] - 4x)  (8x - 32)

Take out GCF (Greatest Common Factor):

x(x - 4)  8(x - 4)

(x + 8) (x - 4)

Compute: 10:00 - 2:30

Answers

Answer:

4 hr and 30 minutes?

Step-by-step explanation:

You didnt really specify soo.    11    12    1   2   2:30

                                                 1hr   2hr  3hr 4hr  30 min

Answer:7:30

Step-by-step explanation:

Need help with this question

Answers

Answer:

10 pennies 13 nickels

Step-by-step explanation:

pennies are worth 1 cent and nickels are worth 5.  13 times 5 is 65 and 10 times 1 is 10.  65 plus 10 is 75 and 13 is 3 more nickels than 10 pennies.

Which expression is equivalent to (1/16)^-4?

Answers

Answer:

Answer: Option B. 16^4 is the correct answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Panat has assets that total $9,500. His liabilities total $1,900. Which expression will find Patrick's net worth?
$9.500-$1.900
$1.900-$9.500
$1.900-$9.500
$9.500-$1.900
Helppp

Answers

Answer:

D

Step-by-step explanation:

assets total - liabilities/deductions = net worth

his income is what his net worth it, but liabilities is what you dont have. its what you owe/need to pay/dont own. subtracting these two will give you your real net wroth.

The correct expression to find Patrick's net worth is D: $9,500 - $1,900.

What is the net worth?

The difference between an individual's assets and liabilities is described as net worth.

As per the question, Patrick's assets are given as $9,500 and his liabilities are given as $1,900.

To find his net worth, we need to subtract his liabilities from his assets.

Thus, the expression for Patrick's net worth is:

Net worth = Assets - Liabilities

Net worth = $9,500 - $1,900

Net worth = $7,600

Therefore, Patrick's net worth is $7,600.

Learn more about the net worth here :

https://brainly.com/question/17199792

#SPJ5

Find the value of each unknown variable in the given figures ?

Answers

10) a. 130

Step-by-step explanation:

[tex]180 - 50 = 130[/tex]

If a 3 ft tall globe casts a 1 ft long shadow, then how tall is an adult giraffe that casts a 6 ft shadow?

Answers

Answer:

it has to be 18

Step-by-step explanation:

because 3 to 1 so 6 just multiply 3 by 6

karen brought 3/8 of a gallon of ice tea to a party. Robin brought 15/16 of a gallon of ice tea to the same party. How much ice tea did they have together?

Answers

Answer:

1  5/16 gallon

Step-by-step explanation:

Gallon of ice brought by Karen = 3/8

Gallon of ice brought by Robin = 15/16

Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin

Total ice team brought by Karen and Robin = 3/8 + 15/16

=>  3*2/8*2 + 15/16

we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16

=> 6/16 + 15/16

=> (6+15)/16 = 21/16

since 21/16 is improper fraction, converting it in mixed fraction we have

21/16 = 1  5/16 gallon

Thus , Karen and Robin have 1  5/16 gallon ice tea together.

Find the area of the shape ​plssss help

Answers

ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared

Step-by-step explanation:

Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off

Answers

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

where is the point (0, –4) located

Answers

4 points below the origin

A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?

Answers

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]

Sharing size:

radius 3r, height h. So

[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]

About how many times more popcorn does the sharing cone hold than the skinny cone?

[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]

The sharing cone holds about 9 times more popcorn than the skinny cone.

What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42

Answers

B : 33
13 22 30 33 40 54 55

My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?

Answers

10,648 mm...... volume formula

Solve: 3(x - 6) = -12

Answers

Answer:

x=2

Step-by-step explanation:

3*2=6

6-6=0

-12

the answer is 2 ooooooo

What is the area of this parallelogram?
6 cm
2 cm

Answers

Answer:

12

Step-by-step explanation:

Area= base*height

Area= 6*2

Answer:

12cm

Step-by-step explanation:

hight & Base=6 cm & 2 cm

Formula for area: hight×base=6 cm×2 cm

12cm

Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-4,-1) and (-4,7)
| (-1, –4) a (
74)
(-1,-6) and (8,-6)
(-6, -1) and (-6,8)

Answers

Answer:

(-4,-1) and (-4,7)

Step-by-step explanation:

If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.

Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.

Therefore, the answer is (-4,-1) and (-4,7)

Answer:

(-4, -1) and (-4, 7)

Step-by-step explanation:

I did the quiz

8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6​

Answers

Answer:

10 6

................

Write a recursive formula for the sequence

-1,-2,-3,-4...

Answers

Answer:

  f(1) = -1

  f(n) = f(n-1) -1

Step-by-step explanation:

The first term is -1. Each term is 1 less than the previous. These equations say that.

  f(1) = -1

  f(n) = f(n-1) -1

convert the decimal 0.085to a percent​

Answers

Answer:

8.5%

Step-by-step explanation:

Answer:

8.5%

Step-by-step explanation:

0.085

1: Ignore the 0 and take the numbers that is 85

2: Add a percent

3: Answer is 8.5%

Hope this helps.

Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?

a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV

Answers

Answer:

  b) dV/dt = c * dT/dt

Step-by-step explanation:

Differentiating the equation with respect to time, you have ...

  V = cT

  dV/dt = c·dT/dt . . . . matches choice B

The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.

a. Find the probability of a pregnancy lasting 308 days or longer?








b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

Answers

Answer:

a) 0.005% probability of a pregnancy lasting 308 days or longer

b) The pregnancy length that separates premature babies from those who are not premature is 229 days.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 250, \sigma = 15[/tex]

a. Find the probability of a pregnancy lasting 308 days or longer?

This is 1 subtracted by the pvalue of Z when X = 308. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{308 - 250}{15}[/tex]

[tex]Z = 3.87[/tex]

[tex]Z = 3.87[/tex] has a pvalue of 0.99995

1 - 0.99995 - 0.00005

0.005% probability of a pregnancy lasting 308 days or longer

b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 250}{15}[/tex]

[tex]X - 250 = -1.405*15[/tex]

[tex]X = -1.405*15 + 250[/tex]

[tex]X = 229[/tex]

The pregnancy length that separates premature babies from those who are not premature is 229 days.

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