Question 21(CO7) An advocacy group claims that the mean braking distance of a certain type of tire is 75

feet when the car is going 40 miles per hour. In a test of 45 of these tires, the braking distance has a mean of 78 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.

A)z-test statistic = 3.41, p-value = 0.0003

B)z-test statistic = -3.41, p-value = 0.0003

C)z-test statistic = 3.41, p-value = 0.0006

D)z-test statistic = -3.41, p-value = 0.0003

Question 22

(CO7) The heights of 82 roller coasters have a mean of 285.2 feet and a standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are more than 290 feet tall.

A)z-test statistic = -0.73, p-value = 0.4636

B)z-test statistic = -0.73, p-value = 0.2318

C)z-test statistic = 0.73, p-value = 0.4636

D)z-test statistic = 0.73, p-value = 0.2318

Question 23

(CO7) A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 712.8 hours with a standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic?

A)Claim is the null, fail to reject the null and support claim as test statistic (-0.83) is not in the rejection region defined by the critical value (-1.645)

B)Claim is the alternative, reject the null and support claim as test statistic (-0.83) is not in the rejection region defined by the critical value (-1.96)

C)Claim is the alternative, fail to reject the null and cannot support claim as the test statistic (-0.83) is in the rejection region defined by the critical value (-1.96)

D)Claim is the null, reject the null and cannot support claim as test statistic (-0.83) is in the rejection region defined by the critical value (-1.645)

Question 24

(CO7) A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to be 15.8 minutes with a standard deviation of 4.1 minutes. At α = 0.04, can you support the organizations’ claim using the test statistic?

A)Claim is the null, fail to reject the null so support the claim as test statistic (-0.30) is not in the rejection region defined by the critical value (1.75)

B)Claim is the alternative, fail to reject the null so cannot support the claim as test statistic (-0.30) is not in the rejection region defined by the critical value (-1.75)

C)Claim is the alternative, reject the null so support the claim as test statistic (-0.30) is in the rejection region defined by the critical value (-2.05)

D)Claim is the null, reject the null so cannot support the claim as test statistic (-0.30) is in the rejection region defined by the critical value (1.75)

Question 25

(CO7) A manufacturer claims that their calculators are 6.800 inches long. A random sample of 39 of their calculators finds they have a mean of 6.812 inches with a standard deviation of 0.03 inches. At α=0.08, can you support the manufacturer’s claim using the p value?

A)Claim is the alternative, fail to reject the null and support claim as p-value (0.012) is less than alpha (0.08)

B)Claim is the alternative, reject the null and cannot support claim as p-value (0.006) is less than alpha (0.08)

C)Claim is the null, fail to reject the null and support claim as p-value (0.006) is greater than alpha (0.08)

D)Claim is the null, reject the null and cannot support claim as p-value (0.012) is less than alpha (0.08)

 

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