A random sample of 172 finance students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), insurance benefits as a job characteristic. The sample mean rating was 3.31, and the sample standard deviation was 0.70. Test at the 1% significance level the null hypothesis that the population mean rating is at most 3.0 against the alternative that it is larger than 3.0.
A) Obtain the lower bound of a 99% confidence interval for the mean rating.
B) Obtain the upper bound of a 99% confidence interval for the mean rating.
C) Is the population distribution assumed to be normal?
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