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. Oright-tailed O two-tailed O left-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (z) distribution should be used O The Student's t distribution should be used

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#29). Both pictures are the same equation.
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
$107. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of
this particular refrigerator is different than $107 per year. The group collected a random sample of 18
refrigerators of the model in question and had each lab-tested for electricity consumption. The yearly
energy consumption of each is given below.
106.72
107.8
106.38
107.1
107.82
106.39
106.39
106.71
107.53
107.03
106.73
106.84
107.73
106.67
106.63
107.38
106.67
106.29
Using a significance level of 0.1%, test the hypothesis that the average yearly electricity consumption of
the refrigerator in question is different than $107 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 right-tailed
O two-tailed
O left-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The standard normal (z) distribution should be used
O 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.
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
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 $107. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this particular refrigerator is different than $107 per year. The group collected a random sample of 18 refrigerators of the model in question and had each lab-tested for electricity consumption. The yearly energy consumption of each is given below. 106.72 107.8 106.38 107.1 107.82 106.39 106.39 106.71 107.53 107.03 106.73 106.84 107.73 106.67 106.63 107.38 106.67 106.29 Using a significance level of 0.1%, test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than $107 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 right-tailed O two-tailed O left-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (z) distribution should be used O 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. 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 if this test is left-tailed, right-tailed, or two-tailed.
O right-tailed
two-tailed
O left-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The standard normal (z) distribution should be used
O 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.
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 provide sufficient evidence to reject the alternative hypothesis that the mean
electricity cost per year of this model refrigerator is different than $107 and thus we conclude that
the mean yearly electricity cost of this refrigerator is likely $107.
O The sample data provide sufficient evidence to reject the null hypothesis that the mean electricity
cost of this model refrigerator is $107 per year and thus we conclude that it is likely the true mean
electricity cost per year is different than $107.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean
electricity cost of this model refrigerator is $107 per year and thus we conclude that it is likely the
true mean electricity cost per year is $107.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
mean electricity cost per year of this model refrigerator is different than $107 and thus we conclude
that the mean yearly electricity cost of this refrigerator is likely different than $107.
Transcribed Image Text:Determine if this test is left-tailed, right-tailed, or two-tailed. O right-tailed two-tailed O left-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (z) distribution should be used O 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. 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 provide sufficient evidence to reject the alternative hypothesis that the mean electricity cost per year of this model refrigerator is different than $107 and thus we conclude that the mean yearly electricity cost of this refrigerator is likely $107. O The sample data provide sufficient evidence to reject the null hypothesis that the mean electricity cost of this model refrigerator is $107 per year and thus we conclude that it is likely the true mean electricity cost per year is different than $107. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean electricity cost of this model refrigerator is $107 per year and thus we conclude that it is likely the true mean electricity cost per year is $107. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean electricity cost per year of this model refrigerator is different than $107 and thus we conclude that the mean yearly electricity cost of this refrigerator is likely different than $107.
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