Question 2 of 6This question: 1 point(s) possibleA company claims that the mean monthly residential electricity consumption in a certain region is more than 860kWh. You want to test this claim. You find that a random sample of 65 residential customers has a mean monthly consumption of 890kWh. Assume the population standard deviation is 128kWh. At α=0.01, can you support the claim? Complete parts (a) through ( 0 ).(a) Identify H0 and Ha. Choose the correct answer below.A.{H0:μ>860(claim)H2:μ≤860B.{H0:μ>890(claim)Ha:μ≤890C.{H0:μ≤890Ha:μ>890(claim)D.650E.651F.652
Q. Question 2 of 6This question: 1 point(s) possibleA company claims that the mean monthly residential electricity consumption in a certain region is more than 860kWh. You want to test this claim. You find that a random sample of 65 residential customers has a mean monthly consumption of 890kWh. Assume the population standard deviation is 128kWh. At α=0.01, can you support the claim? Complete parts (a) through ( 0 ).(a) Identify H0 and Ha. Choose the correct answer below.A.{H0:μ>860(claim)H2:μ≤860B.{H0:μ>890(claim)Ha:μ≤890C.{H0:μ≤890Ha:μ>890(claim)D.650E.651F.652
Define Hypotheses: When conducting a hypothesis test, the null hypothesis (H0) is a statement of no effect or no difference, and it is what we assume to be true before collecting any data. The alternative hypothesis (Ha) is what we want to test for - it is the claim that there is an effect or a difference. In this case, the company claims that the mean monthly residential electricity consumption is more than 860 kWh. Therefore, the null hypothesis should reflect the opposite of this claim, and the alternative hypothesis should reflect the claim itself.
Formulate Hypotheses: The correct null and alternative hypotheses are as follows:H0:μ≤860 (The mean is less than or equal to 860 kWh, which is the opposite of the claim.)Ha:μ>860 (The mean is greater than 860 kWh, which is the claim.)Therefore, the correct answer is the one that reflects these hypotheses.
Check Options: Looking at the options provided, we can see that option F states:H0:μ≤860Ha:μ>860 (claim)This matches our correct formulation of the null and alternative hypotheses.
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