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The Energy Star rating system is an energy efficiency program run by the U S Environmental Protection Agency EPA Energy Star certified appliances such as televisions and refrigerators are rated in regard to their average energy consumption per year A certain brand of Energy Star certified refrigerator is stated to have a mean yearly electricity cost of 102 A consumer advocacy organization believes that this claim is wrong that the energy consumption of this particular refrigerator is different than 102 per year The group collected a random sample of 16 refrigerators of the model in question and had each lab tested for electricity consumption The yearly energy consumption of each is given below 101 32 101 8 101 49 101 15 102 46 101 13 101 1 102 83 102 3 102 92 101 55 102 87 102 85 101 58 102 33 101 07 Using a 0 1 test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than 102 per year Assume that the distribution of all electricity costs of this model of refrigerator is approximately normally distributed Use the p value method State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed Oright tailed two tailed left tailed Should the standard normal z distribution or Student s t distribution be used for this test The standard normal z distribution should be used The Student s t distribution should be used Determine the test statistic for the hypothesis test Round the solution to four decimal places Determine the p value range for the hypothesis test p value 0 001 0 001 p value 0 01 0 01 p value 0 02 0 02 p value 0 05 0 05 p value 0 10 0 10 p value 0 20 p value 0 20 Determine the appropriate conclusion for this hypothesis test The sample data do not provide sufficient evidence to reject the null hypothesis that the mean electricity cost of this model refrigerator is 102 per year and thus we conclude that it is likely the true mean electricity cost per year is 102 The sample data provide sufficient evidence to reject the null hypothesis that the mean electricity cost of this model refrigerator is 102 per year and thus we conclude that it is likely the true mean electricity cost per year is different than 102

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