Test the Indicated Claim About the Variances or Standard Deviations

Essay

Test the indicated claim about the variances or standard deviations of two populations. that both samples are independent simple random samples from populations having normal distributions. When 25 randomly selected customers enter any one of several waiting lines, their waiting times have a standard deviation of 5.35 minutes. When 16 randomly selected customers enter a single main waiting line, their waiting times have a standard deviation of 2.2 minutes. Use a 0.05 significance level to test the claim that there is more variation in the waiting times when several lines are used. Include your null and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.