A random sample of 172 students was asked to rate on a scale tofrom 1 (not important) to 5 (extremely important) health benefitsas a job characteristic (note that the rating scale can also havedecimals, i.e. a student can give a rating of 1.32). The samplemean rating was 3.31, and the sample standard deviation was 0.70.For a type I error of 1% (alpha), can you be reasonably certainthat the average rating is more than 3 in the population?
1)Specify the rejection region for  = 0.01. Reject H0if
A) z > 2.33
B) t > 2.32
C) z < 2.33
D) t < 2.32
and what is your conclusion.
A soft drink filling machine, when in perfect adjustment, fillsthe bottles with 12 ounces of soft drink. A random sample of 49bottles is selected, and the contents are measured. The sampleyielded a mean content of 11.88 ounces with a standard deviation of0.35 ounces.
2) State the null and alternative hypotheses.
A) H0: µ = 0, Ha: µ > 11.88
B) H0: µ = 0, Ha: µ ≠11.88
C) H0: µ = 0, Ha: µ > 12
D) H0: µ = 0, Ha: µ ≠12
