Question

A researcher was interested in the relationship between the number of texts sent in a day and the number of e-mails sent in a day by employees at a certain company. Using 15 data values, a 90 percent confidence interval for the slope of a regression model was found to be (2.31, 3.47). The researcher claims that the interval would have been narrower with a different sample size if all other things remained the same. Which of the following sample sizes would make the researcher's claim NOT true?

A. 14
B. 16
C. 20
D. 30
E. 100

Answer 1

A. 14

Step-by-step explanation:

the researcher claims that the width of the interval would have been smaller if the sample had been different, and in this case different refers to larger. The original sample included only 15 people, so in order to increase the data sample, you must include more than 15 people. That is why 14 doesn't make sense.