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# Multiple Choice Statistics Questions

1. A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 12 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted tests at a particular site under consideration for a wind machine. To determine whether the site meets the organization's requirements, consider the test, where mu is the true mean wind speed at the site and Suppose the observed significance level (p-value) of the test is calculated to be Interpret this result based on the p-value of 0.3183.

1) Since the p-value exceeds alpha = .05, there is insufficient evidence to reject the null hypothesis.
2) Since the p-value greatly exceeds alpha = .05, there is strong evidence to reject the null hypothesis.
3) The probability of rejecting the null hypothesis is 0.3183.
4) We are 68.17% confident that mu = 12.

2. A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 26 minutes. The owner has randomly selected 16 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 26 minutes. What assumption is necessary for this test to be valid?

1) The population variance must equal the population mean.
2) The sample mean delivery time must equal the population mean delivery time.
3) The population of delivery times must have a normal distribution.
4) None. The Central Limit Theorem makes any assumptions unnecessary.

3. It is desired to estimate the proportion of college students who prefer brand A over brand B. A random sample of 79 students was collected. ASP was used to test whether the proportion of all college students who preferred brand B is smaller than 40%.

HYPOTHESIS: PROPORTION X = x

When estimating the true standard error for the test statistic, what value will be used to estimate the unknown population proportion?

1) .24
2) .379747
3) .40
4) .50

#### Solution Preview

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1. A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 12 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted tests at a particular site under consideration for a wind machine. To determine whether the site meets the organization's requirements, consider the test, where mu is the true mean wind speed at the site and Suppose the observed significance level (p-value) of the test is calculated to be Interpret this result based ...

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