Agency (EPA). Energy appu their average energy consumption per year. A certain brand of Energy Star certified refrigerator is stated to have a mean yearly electricity cost of $124. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this particular refrigerator is different than $124 per year. The group collected a random sample of 20 refrigerators of the model in question and had each lab-tested for electricity consumption. The yearly energy consumption of each is given below. 123.01 124.33 124.7 123.55 123.13 124.04 123.97 123.8 123.6 124.27 123.64 124.09 124.72 123.42 124.74 124.87 123.99 123.07 124.32 123.55 Using a significance level of 5%, test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than $124 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: ? Determine if this test is left-tailed, right-tailed, or two-tailed. O two-tailed Oright-tailed Oleft-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used O The standard normal (2) stribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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#29). This is 1 question. Need help with test statistic and p-value.

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 $124. A consumer advocacy organization believes that this claim is wrong, that the energy consumption of this particular refrigerator is different than $124 per year. The group collected a random sample of 20 refrigerators of the model in question and had each lab-tested for electricity consumption. The yearly energy consumption of each is given below. 124.33 124.7 123.55 123.13 124.04 123.97 123.8 123.6 123.64 124.09 124.72 123.42 124.74 124.87 123.99 123.07 124.27 123.01 124.32 123.55 Using a significance level of 5%, test the hypothesis that the average yearly electricity consumption of the refrigerator in question is different than $124 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: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (2) 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.