Reference no: EM132857059

-The US Energy Information Administration compile data on energy consumption and publishes its findings in Residential Energy Consumption Survey: Consumption and Expenditure. In 1982, the mean energy consumed per American household was 114 million BTU. For that same year, 50 randomly selected households in the South had the following energy consumption:

130 55 45 64 155 66 60 80 102 62 58 101 75 111 151 139 81 55 66 90
97 77 51 67 125 50 136 55 83 91
54 86 100 78 93 113 111 104 96 113
96 87 129 109 69 94 99 97 83 97

Do the data provide sufficient evidence to conclude that in 1982 the mean energy consumption by southern households differed from that of all American household? Use the following steps to answer the questions:

a) State the null and alternative hypotheses for the hypothesis test.

b) Discuss the basic idea for carrying out the hypothesis test.

c) Obtain a precise criterion for deciding whether or not to reject the null hypothesis in favor of alternative hypothesis.

d) Apply the criterion in part ( c ) to the sample data and state the conclusion. (Assuming that, for 1982, the standard deviation of energy consumption of all southern households was ?? = 25 million BTU.)