Assuming all model requirements for conducting the appropriate procedure have be

Question

Assuming all model requirements for conducting the appropriate procedure have been satisfied, is the mean IQ of the students in the professor's statistics class higher than that of the general population, 100? Explain what statistical procedure should be used for this research objective.

Choose the correct answer below.

A.The correct procedure is a hypothesis test for two proportions with independent samples. The goal is to determine whether the proportion of the class that has above-average IQ is higher than the proportion of the nation that has above-average IQ. The comparison is between the class and the nation, so there are two populations.

B.The correct procedure is a confidence interval for a single proportion. The goal is to determine what proportion of the class has a higher IQ than the national average. The class is part of the nation, so there is no comparison between two populations.

C.The correct procedure is a matched pairs t-test on the difference of two means. The mean IQ of the class and the mean IQ of the nation are being compared. The sampling is dependent because the students are part of both populations.

D.The correct procedure is a hypothesis test for a single mean. The comparison is between the mean IQ of the class and the national average IQ. The class is a sample of the population, so it is not a comparison between two population means. The objective is to find whether the sample mean is higher than the population mean, so it is a hypothesis test and not a confidence interval.

Explanation / Answer

option D is correct

D.The correct procedure is a hypothesis test for a single mean. The comparison is between the mean IQ of the class and the national average IQ. The class is a sample of the population, so it is not a comparison between two population means. The objective is to find whether the sample mean is higher than the population mean, so it is a hypothesis test and not a confidence interval.

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