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 597.57. 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. O H: OH: 97.57, H: 97.57 97.57, H: # 97.57 O Ho: >97.57, H = 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 01.6030 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 597.57 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 597.57 and thus we conclude that the average monthly electricity bill from this utility company is likely greater than 597.57. O The sample data provide sufficient evidence to reject the null hypothesis that the average monthly hill from this utility company is $97.57 and thus we conclude that average monthly than $97.57