Mathematics, 28.12.2019 01:31 kim643

According to one investigator’s model, the data are like 400 draws made at random from a large box. the null hypothesis says that the average of the box equals 50; the alternative says that the average of the box is more than 50. in fact, the data averaged out to 52.75, and the sd was 25. compute z and p . what do you conclude?

Answers: 3

Show answers

Answers

Answer from: isadorahelena1

$z=\frac{52.75-50}{\frac{25}{\sqrt{400}}}=2.2$

p_v =2*P(Z2.2)=0.0278

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the mean is significantly diffrent fro 50 at 1% of signficance.

Step-by-step explanation:

1) Data given and notation

$\bar X=52.75$ represent the mean height for the sample

s=25 represent the sample standard deviation

n=400 sample size

$\mu_o =50$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 50 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 50$

Alternative hypothesis: $\mu \neq 50$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value but we can assume it as z distribution, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{52.75-50}{\frac{25}{\sqrt{400}}}=2.2$

P-value

Since is a two sided test the p value would be:

p_v =2*P(Z2.2)=0.0278

Conclusion

Answer from: Quest

step-by-step explanation:

assuming you meant there are 24 pounds of apples in each case, if this is not what you meant, correct me so i can you further

Answer from: Quest

answer: can you show the options ?

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 13:20

What is the equation and solution for the sentence? the sum of a number and thirty-one is one hundred thirteen. write the equation as n-31=113 and subtract 31 from both sides. the answer is 82. write the equation as n+31=113 and subtract 31 from both sides. the answer is 82. write the equation as n+31=113 and add 31 to both sides. the answer is 144. write the equation as n-31=113 and add 31 to both sides. the answer is 144.

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Carmen begins her next painting on a rectangular canvas that is 82.7 cm long and has a area of 8,137.68 cm2. will the painting fit in a frame with an opening that is 82.7 cm long and 95 cm wide? explain

Answers: 3

Answer

Mathematics, 21.06.2019 19:10

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.

Answers: 3

Answer

Mathematics, 21.06.2019 21:00

Graph the equationy= x+3[tex]y = x + 3[/tex]

Answers: 1

Answer

You know the right answer?

According to one investigator’s model, the data are like 400 draws made at random from a large box....

Questions