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A researcher theorizes that students at a particular university differ in intell

ID: 3315340 • Letter: A

Question

A researcher theorizes that students at a particular university differ in intelligence from the average IQ of 100. The researcher computes the 95% confidence interval for the mean of this population. Four possible results are shown below.

Result 1: 91.6–109.4
Result 2: 99.1–116.9
Result 3: 101.2–119.0
Result 4: 112.7–130.5

For which result(s) should the researcher retain the null hypothesis that the population mean is equal to 100.0?

only result 1

results 1 and 2

results 3 and 4

only result 4

only result 1

results 1 and 2

results 3 and 4

only result 4

Explanation / Answer

in order to retain the null hypothesis , we know that the population mean is equal to 100
so the confidence interval that include the value 100 would be considered for this

hence the answers are

Result 1: 91.6–109.4
Result 2: 99.1–116.9

so the correct answer is B

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