Consumers Energy states that the average electric bill across the state is $98.15. You want to test the claim that the average bill amount is actually less than $98.15. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 98.15, Alternative Hypothesis: μ < 98.15. You complete a randomized survey throughout the state and perform a one-sample hypothesis test for the mean, which results in a p-value of 0.0218. What is the appropriate conclusion? Conclude at the 5% level of significance.

We conclude that null hypothesis must be rejected at 5% level of significance.

Step-by-step explanation:

We are given that Consumers Energy states that the average electric bill across the state is $98.15. We want to test the claim that the average bill amount is actually less than $98.15.

For this we are given with the hypothesis situation as;

NULL HYPOTHESIS, : 98.15

ALTERNATE HYPOTHESIS, : < 98.15

Also, level of significance is given as 5%.

Now, we are given with the P-value of the test statistics then our decision rule is given by;

Since, according the question;

P-value = 0.0218 or 2.18%

Level of significance = 5%

Clearly, as we can see that P-value is less than the significance level, so we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the average bill amount is actually less than $98.15.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

y=mx+b is the final answer!   : )