Discuss the below:
Q: A survey of 30 students at a local college found that the sample mean number of hours worked by students is 17 hours per week with a sample standard deviation of 2 hours. Use a 0.05 significance level to test the claim that the sample students come from a population with a standard deviation of 3 hours. (Assume that the sample is a simple random sample with a normal distribution)
a) State the null and alternative Hypotheses (H0 and H1).
b) Calculate the test statistic.
c) What are the critical values for x=.05 ?
d) State your conclusion (reject H0 or fail to reject H0 )and explain your reasoning.
e) Was the claim about the standard deviation of number of hours worked correct?