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 $84. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this particular refrigerator is different than $84 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. 83.48 83.1 83.72 84.45 83.54 83.25 84.43 84.93 84.11 84.11 83.71 83.97 84.88 84.31 83.77 84.66 Using a significance level of 20%, test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than $84 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: ? v H₁:? v Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed right-tailed 76°F Mostly clear

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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 $84.
A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this
particular refrigerator is different than $84 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.
83.48
83.72 84.45 83.54 83.25 84.43 84.93 84.11
84.11 83.71 83.97 84.88 84.31 83.77 84.66
83.1
Using a significance level of 20%, test the hypothesis that the average yearly electricity consumption of the
refrigerator in question is different than $84 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: ? ✓
H₁:? v
Determine if this test is left-tailed, right-tailed, or two-tailed.
Oleft-tailed
right-tailed
76°F
Mostly clear
Transcribed Image Text: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 $84. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this particular refrigerator is different than $84 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. 83.48 83.72 84.45 83.54 83.25 84.43 84.93 84.11 84.11 83.71 83.97 84.88 84.31 83.77 84.66 83.1 Using a significance level of 20%, test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than $84 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: ? ✓ H₁:? v Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed right-tailed 76°F Mostly clear
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
The Student's t distribution should be used
O The standard normal (2) 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.
Op-value < 0.001
O 0.001 < p-value < 0.01
O 0.01 < p-value < 0.02
O 0.02 p-value < 0.05
O 0.05 < p-value < 0.10
O 0.10 < p-value < 0.20
Op-value > 0.20
Determine the appropriate conclusion for this hypothesis test.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean
electricity cost of this model refrigerator is $84 per year and thus we conclude that it is likely the
true mean electricity cost per year is $84.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the mean
electricity cost per year of this model refrigerator is different than $84 and thus we conclude that
Transcribed Image Text:Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used O The standard normal (2) 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. Op-value < 0.001 O 0.001 < p-value < 0.01 O 0.01 < p-value < 0.02 O 0.02 p-value < 0.05 O 0.05 < p-value < 0.10 O 0.10 < p-value < 0.20 Op-value > 0.20 Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean electricity cost of this model refrigerator is $84 per year and thus we conclude that it is likely the true mean electricity cost per year is $84. O The sample data provide sufficient evidence to reject the alternative hypothesis that the mean electricity cost per year of this model refrigerator is different than $84 and thus we conclude that
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