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Identify the null hypothesis Ho...

Identify the null hypothesis Ho and the alternative hypothesis H1. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 1 in every one thousand. (Points : 7)

Ho: p = 0.001, H1: p 0.001

Ho: p > 0.001, H1: p = 0.001

Ho: p 82,600

Ho: μ = 82,600, H1: μ 82,600, H1: μ = 82,600

Ho: μ 62.4. (Points : 6)

1.48

e4_8 1.81

1.81

-1.48

Question 4.4. Assume that the data has a normal distribution. Also assume that the standard deviation of the population, sigma, is known. Find the critical value(s) used to test a null hypothesis: level of significance pq7_1 = 0.02 for a left-tailed test. (Points : 6)

-1.96

e4_8 1.96

e4_8 2.05

-2.05

Question 5.5. 6) The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, mu, of 47 degree F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. (Points : 7)

There is sufficient evidence to support the claim that the mean temperature is equal to 47 degree F.

There is not sufficient evidence to support the claim that the mean temperature is different from 47 degree F.

There is sufficient evidence to support the claim that the mean temperature is different from 47 degree F.

There is not sufficient evidence to support the claim that the mean temperature is equal to 47 degree F.

Question 6.6. The owner of a football team claims that the average attendance at games is over 529, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. Be sure to address the original claim. (Points : 7)

There is not sufficient evidence to support the claim that the mean attendance is less than 529.

There is not sufficient evidence to support the claim that the mean attendance is greater than 529.

There is sufficient evidence to support the claim that the mean attendance is less than 529.

There is sufficient evidence to support the claim that the mean attendance is greater than 529.

Question 7.7. Suppose you wish to test the claim that μ is different from 113.9. Given a sample of n = 218 and a significance level of pq7_1 = 0.10, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic > 1.645 or < -1.645.

Reject Ho if test statistic 1.645.

Reject Ho if test statistic > 1.28 or < -1.28.

Question 8.8. Suppose you wish to test the claim that μ < 62.2. Given a sample of n = 106 and a significance level of pq7_1 = 0.01, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic < -2.33.

Reject Ho if test statistic < -2.575.

Reject Ho if test statistic -2.33.

Question 9.9. Suppose you wish to test the claim that μ = 3.45. Given a sample of n = 32 and a significance level of pq7_1 = 0.01, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the population is known. (Points : 6)

Reject Ho if test statistic > 2.33 or 2.575.

Reject Ho if test statistic > 2.575 or 2.33.

Question 10.10. A population is normally distributed with a standard deviation σ = 26. We wish to test the hypotheses Ho: μ = 942.1; H1 = μ > 942.1. A 70-item sample has a mean e3_29 = 905.7. Compute the value of the test statistic. (Points : 7)

-11.71

-0.17

-13.52

594.61

Question 11.11. Find the critical value or values for the given hypothesis, sample size, and significance level. Assume that the standard deviation of the population, σ, is unknown.

H1: μ pq7_4 81.1, n = 12, pq7_1 = 0.01. (Points : 7)

e4_8 2.718

e4_8 3.106

2.718

e4_8 3.055

Question 12.12. e3_29 for a data set is 131.8, s is 16.7 and n = 12. The data is approximately normal and the standard deviation, σ, of the population is unknown. Ho: μ = 136.8, H1: μ pq7_4 136.8. Should the statistician use a t distribution, a normal distribution, or neither to test the null hypothesis? (Points : 7)

Neither

t distribution

Normal distribution

Question 13.13. In a study of monthly incomes, e3_29 = 4160, sigma σ = 1480, n = 12. The data has a slight skew to the right. The alternative hypothesis is: μ pq7_4 4576. Should the statistician use a t distribution, a normal distribution, or neither to test the null hypothesis? (Points : 7)

t distribution

Neither

Normal distribution

Question 14.14. You wish to test the claim that μ = 74.1 at the pq7_1 = 0.01 significance level. In a sample of n = 19, the sample mean is 80.3 and the standard deviation of the sample is s=6.5. What is the value of the appropriate test statistic? (Points : 7)

-4.16

4.16

0.95

18.12

Question 15.15. You wish to test the claim that μ < 3.35 at the pq7_1 = 0.02 significance level. In a sample of n = 25, the sample mean is 3.25 and the standard deviation of the sample is s = 0.87. What is the value of the appropriate test statistic? (Points : 7)

-2.87

-0.57

0.57

-0.11

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