Question

Large Data Set 1 records the GPAs of 1,000 college students. Regarding it as a random sample of all college students, use it to test the hypothesis that the population mean is less than 2.50, at the 10% level of significance. (The null hypothesis is that μ = 2.50.)

Note: All of the data sets associated with these questions are missing, but the questions themselves are included here for reference 22. Large Data Set 1 records the GPAs of 1,000 college students. Regarding it as a random sample of all college students, use it to test the hypothesis that the population mean is less than 2.50, at the 10% level of significance. (The null hypothesis is that μ-2.50.)

Answer 1

Solution:

Given in the question

Null hypothesis H0: mean = 1510

Alternate hypothesis H1: mean >1510

This is right tailed and one tailed test

Test stat value = 2.7882

Z CRITICAL value = 2.33

So if test stat value is greater than 2.33, than we will reject the null hypothesis else we are failed to reject the null hypothesis.

Here tests stat value is greater than 2.33, so we have significant evidence to support the claim I.e. population meab exceeds 1510.