Question: Here are summary data from a z test regarding scores on the Consideration of Future Consequences scale (Petrocelli, 2003): the population mean (l) is 3.51

Here are summary data from a z test regarding scores on the Consideration of Future Consequences scale

(Petrocelli, 2003): the population mean (l) is 3.51 and the population standard deviation (r) is 0.61. Imagine that a sample of 45 students had a mean of 3.7.

a. Calculate the test statistic for a sample of 5 students.

b. Calculate the test statistic for a sample of 1000 students.

c. Calculate the test statistic for a sample of 1,000,000 students.

d. Explain why the test statistic varies so much even though the population mean, population standard deviation, and sample mean do not change.

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