Question

NEED HELP ASAP TAKING TEST A refrigeration unit at a restaurant is supposed to be kept at 40°F. An inspector would like to test the hypotheses H Subscript 0 Baseline: mu = 40 versus H Subscript alpha Baseline: mu not-equals40 where μ = the true mean temperature for all times of the day. A 98% confidence interval based upon a random sample of 40 temperatures is 40.5 degrees to 42.1 degrees. Using the interval, what decision should be made?

The null hypothesis should be rejected at the Alpha = 0.01 level.
The null hypothesis should be rejected at the Alpha = 0.02 level.
The null hypothesis should not be rejected at the Alpha = 0.05 level.
The null hypothesis should not be rejected at the Alpha = 0.10 level.

Answer 1

The null hypothesis should not be rejected at the Alpha = 0.05 level.

Step-by-step explanation:

The decision that should be made is that the null hypothesis should not be rejected at the Alpha = 0.05 level.

When conducting a hypothesis test, we compare the p-value to the significance level (Alpha) to make our decision.

In this case, the p-value is greater than 0.05, which means there is not enough evidence to reject the null hypothesis.

Therefore, we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the true mean temperature for all times of the day is different from 40°F.