A local utility company claims that the monthly electricity bills of its customers are among the lowest in the state with an average monthly electricity bill of 97 57 An energy analyst believes that the average monthly electricity bill from this utility company is actually higher than 97 57 The analyst collected a random sample of 41 monthly electricity bills from this utility company and found that the average monthly bill of the sample was 105 85 with a standard deviation of 18 76 Use the critical value method to test the hypothesis that the average monthly electricity bill for customers of this local utility is greater than 97 57 using a significance level of 1 State the null and alternative hypothesis for this test OH 97 57 H 97 57 O He p 97 57 H p 97 57 OH p 97 57 H 97 57 OH 97 57 H p 97 57 Determine the critical value for the hypothesis test 01 3031 02 7045 02 4232 01 6838 Determine the test statistic for the hypothesis test 01 3104 03 4030 02 8266 01 0053 Determine the appropriate conclusion for this hypothesis test O The sample data provide sufficient evidence to reject the alternative hypothesis that the average monthly electricity bill from this utility company is greater than 97 57 and thus we conclude that the average monthly electricity bill from this utility company is likely about 97 57 as claimed O The sample data do not provide sufficient evidence to reject the null hypothesis that the average monthly electricity bill from this utility company is 97 57 and thus we conclude that average monthly electricity bill from this utility company is likely about 97 57 O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average monthly electricity bill from this utility company is greater than 97 57 and thus we conclude that the average monthly electricity bill from this utility company is likely greater than 97 57 O The sample data provide sufficient evidence to reject the null hypothesis that the average monthly actocity bill from this utility company is 97 57 and thus we conclude that average monthly inah amater than 97 57