The Edison Electric Institute has published figures on the annual number of kilowatt hours expended by various home appliances. It is claimed that a vacuum cleaner expends an average of 46 kilowatt hours per year. A random sample of 12 homes included in a planned study indicates that vacuum cleaners expend an average of 42 kilowatt hours per year with a standard deviation of 11.0 kilowatt hours. This sample data is to be tested with the goal of showing that the vacuum cleaners expend on average less than 46 kilowatt hours annually. Test at the 0.05 level of significance. a. To test the hypothesis, his null and alternative hypotheses are: Ho: and H1: b. What is the appropriate decision parameter at the 95% level of confidence? ("the null will be rejected if the z- or t- value is...). Determine the sample statistic using the sample data above. с.

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The Edison Electric Institute has published figures on the annual number of kilowatt hours expended by various home appliances. It is claimed that a vacuum cleaner expends an average of 46 kilowatt hours per year. A random sample of 12 homes included in a planned study indicates that vacuum cleaners expend an average of 42 kilowatt hours per year with a standard deviation of 11.0 kilowatt hours. This sample data is to be tested with the goal of showing that the vacuum cleaners expend on average less than 46 kilowatt hours annually. Test at the 0.05 level of significance.

a. To test the hypothesis, his null and alternative hypotheses are:

   \( H_0: \) ______________ and \( H_1: \) __________________ .
   
b. What is the appropriate decision parameter at the 95% level of confidence? (“the null will be rejected if the z- or t- value is…).

c. Determine the sample statistic using the sample data above.

d. Based on this hypothesis test, should the null hypothesis be rejected? Explain why or why not.

e. Obtain the confidence interval, at the 95% level.
Transcribed Image Text:The Edison Electric Institute has published figures on the annual number of kilowatt hours expended by various home appliances. It is claimed that a vacuum cleaner expends an average of 46 kilowatt hours per year. A random sample of 12 homes included in a planned study indicates that vacuum cleaners expend an average of 42 kilowatt hours per year with a standard deviation of 11.0 kilowatt hours. This sample data is to be tested with the goal of showing that the vacuum cleaners expend on average less than 46 kilowatt hours annually. Test at the 0.05 level of significance. a. To test the hypothesis, his null and alternative hypotheses are: \( H_0: \) ______________ and \( H_1: \) __________________ . b. What is the appropriate decision parameter at the 95% level of confidence? (“the null will be rejected if the z- or t- value is…). c. Determine the sample statistic using the sample data above. d. Based on this hypothesis test, should the null hypothesis be rejected? Explain why or why not. e. Obtain the confidence interval, at the 95% level.
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