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Question 6 2 pts

A scientist claims that the mean gestation period for a fox is 51.5 weeks. If a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted?

The evidence indicates that the gestation period is less than 51.5 weeks

There is enough evidence to support the scientist’s claim that the gestation period is 51.5 weeks

There is not enough evidence to support the scientist’s claim that the gestation period is 51.5 weeks

There is not enough evidence to support the scientist’s claim that the gestation period is more than 51.5 weeks

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Question 7 2 pts

A marketing organization claims that less than 15% of its employees are paid minimum wage. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted?

There is sufficient evidence to support the claim that less than 15% of the employees are paid minimum wage

There is not sufficient evidence to support the claim that less than 15% of the employees are paid minimum wage

There is not sufficient evidence to support the claim that more than 15% of the employees are paid minimum wage

There is sufficient evidence to support the claim that 15% of the employees are paid minimum wage

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Question 8 2 pts

A sprinkler manufacturer claims that the average activating temperatures is at least 132 degrees. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133 degrees. Assume the population standard deviation is 3.3 degrees. Find the standardized test statistic and the corresponding p-value.

z-test statistic = -1.71, p-value = 0.0865

z-test statistic = 1.71, p-value = 0.0865

z-test statistic = -1.71, p-value = 0.0432

z-test statistic = 1.71, p-value = 0.0432

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Question 9 2 pts

A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is 7.0 seconds. A random sample of 33 sedans has a mean acceleration time from 0 to 60 miles per hour of 7.6 seconds. Assume the population standard deviation is 2.3 seconds. Find the standardized test statistic and the corresponding p-value.

z-test statistic = -1.499, p-value = 0.067

z-test statistic = -1.499, p-value = 0.134

z-test statistic = 1.499, p-value = 0.067

z-test statistic = 1.499, p-value = 0.134

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Question 10 2 pts

A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams. You find a random sample of 48 12-ounce bottles of caffeinated soft drinks that has a mean caffeine content of 35.2 milligrams. Assume the population standard deviation is 12.5 milligrams. At α=0.05, do you support or reject the organization’s claim using the test statistic?

Claim is null, reject the null and reject claim as test statistic (-1.44) is in the rejection region defined by the critical value (-1.96)

Claim is alternative, fail to reject the null and support claim as test statistic (-1.44) is not in the rejection region defined by the critical value (-1.64)

Claim is alternative, reject the null and reject claim as test statistic (-1.44) is in the rejection region defined by the critical value (-1.64)

Claim is null, fail to reject the null and support claim as test statistic (-1.44) is not in the rejection region defined by the critical value (-1.96)

Answer 1