10 STAT QUESTIONS FOR STRONG HEART ONLY

1. A sample of 44 cars of a certain kind had an average mileage of 34.4 mpg. Assuming that mileage is approximately normally distributed with standard deviation 3.4 mpg, test the hypothesis that the average mileage for all cars of this type is no less than 33.7 mpg at the 0.1 significance level. Give the value of p you find to two decimal places, and choose the correct conclusion:

p= 

Conclusion: A. Reject the null hypothesis B. Do not reject the null hypothesis

2. A sample of 45 cars of a certain kind had an average mileage of 34.6 mpg with a standard deviation of 3.2 mpg. Assuming that mileage is approximately normally distributed, test the hypothesis that the average mileage for all cars of this type is no less than 33.8 mpg at the 0.05 significance level. Give the value of p you find to two decimal places, and choose the correct conclusion:

p= 

Conclusion: A. Do not reject the null hypothesis B. Reject the null hypothesis

3. The average amount of caffeine in a 12-ounce can of Snert Cola has a very small standard deviation—only 0.2 mg. A sample of 33 cans of this beverage yielded an average of 70.56 mg of caffeine. Test the hypothesis that the average for all 12-oz cans of Snert is no more than 70.6 mg at the 0.1 significance level. Give the value of p you find to two decimal places, and choose the correct conclusion:

p= 

Conclusion: A. Reject the null hypothesis B. Do not reject the null hypothesis

4. A sample of 39 12-ounce cans of Snert Cola yielded an average of 71.05 mg of caffeine with a standard deviation of 0.2 mg. Test the hypothesis that the average for all 12-oz cans of Snert is no more than 71.1 mg of caffeine at the 0.1 significance level. Give the value of p you find to two decimal places, and choose the correct conclusion:

p= 

Conclusion: A. Reject the null hypothesis B. Do not reject the null hypothesis

5. Bodacious Burger, Inc., claims that the average weight of its “Pi Over Twelve” burger is 0.261799 lb with a standard deviation of 0.000004 lb. Jorge, however, has weighed 37 of these burgers and found a mean weight of 0.261801 lb, and intends to test the company’s claim using this data. Perform the test for him at the 0.01 significance level and answer the questions below.

Jorge’s null hypothesis is: A. μ≤0.261799  B. μ≥0.261799  C. μ≠0.261799  D. μ=0.261799 

To two decimal places, p= 

6. Bodacious Burger, Inc., claims that the average weight of its “Pi Over Twelve” burger is 0.2618 lb. Jorge, however, has weighed 45 of these burgers and found a mean weight of 0.2617 lb and a standard deviation of 0.0004 lb, and intends to test the company’s claim using this data. Perform the test for him at the 0.1 significance level and answer the questions below.

To two decimal places, p= 

Conclusion: A. Do not reject the null hypothesis B. Reject the null hypothesis

7. When a poultry farmer uses his regular feed, newborn chicks have normally distributed weights with mean 60 ounces. In an experiment with a new type of feed, ten chicks had the following birth weights (in ounces):

63.1

58.1

56.7

63.5

64.9

63.4

58.7

56.1

62.8

62.5

Use this data to test the hypothesis that birth weight is higher when the new feed is used at the 0.05 significance level and answer the following questions.

To two decimal places, p= 

Conclusion: A. Do not reject the null hypothesis B. Reject the null hypothesis

8.. To test the hypotheses H 0 :μ≥202.60  , H a :μ<202.60  for a normal population at the α=0.05  significance level, a sample of size 26 was drawn and found to have mean x ¯ =192.03  and standard deviation s=18.20  .

Which of the following is closest to the p-value that was found? (Assume that the p-value was found correctly.) A. 0.00 B. 0.02 C. -0.02 D. -0.01 E. 0.01

Which of the following is the correct conclusion from the test? A. Reject the null hypothesis B. Do not reject the null hypothesis C. The test should not be performed

9.. Kreem, Inc. claims that its ice cream contains an average of 235.00 calories per half-cup serving. To test that claim, Jeanette has measured the calories in 33 servings, for which she found a mean of 237.06 and a standard deviation of 21.40. The correct conclusion from the hypothesis test she performs is: A. Reject the null at the 0.05 significance level B. Reject the null hypothesis at the 0.01 significance level C. The test should not be performed D. Do not reject the null hypothesis at the 0.01 significance level

10.. When the hypotheses H a :μ≠187.76  vs H 0 :μ=187.76  are tested at the 0.1 level of significance, given that a sample of size 48 had a mean of 178.77 and a standard deviation of 35.6, the correct conclusion is: A. p=0.09  , reject the null hypothesis B. p=0.08  , do not reject the null hypothesis C. p=0.09  , do not reject the null hypothesis D. p=0.08  , reject the null hypothesis