Question

The accompanying data are​ drive-through service times​ (seconds) recorded at a fast-food restaurant during dinner times. Assuming that dinner service times at the​ restaurant's competitor have standard deviation σ = 61.4​sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its​ competitor's restaurant. Use the accompanying data to identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, and​ P-value. Then state a conclusion about the null hypothesis. Need help with part B and beyond

Data: 144, 75, 122, 175, -42, 15, 16, 52, -5, -51, -107, -107

A) Identify null and alternative hypotheses (I already have answered, but gave just in case needed for rest).

H0: σ = 611.4 minutes

Ha σ *Doesn't equal* 61.4 minutes

B) Compute the test statistic (2 decimal places for rounding).

X^2 = _____

C) Find the P-Value of the test-statistic (3 decimal places for rounding).

The P-value for the test statistic is _______

D) State the conclusion about the null hypothesis

There _______ ("is" or "is not") sufficient evidence to conclude that there is a difference between the waiting times in the two​ restaurants, because H0 is _______ ("rejected" or "not rejected") by the hypothesis test.

Thank you in advance!

Answer 1

There "is not" sufficient evidence to conclude that there is a difference between the waiting times in the two​restaurants, because H0 is "not rejected" by the hypothesis test.