3. 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?
The solution provides step by step method for the calculation of chi-square test for variance. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.