Frank’s Fast Food Frank Furter, owner of Frank’s Fast Food, is concerned about t

Question

Frank’s Fast Food

Frank Furter, owner of Frank’s Fast Food, is concerned about the wait time for customers at his restaurant. He serves breakfast from 6:30 until 10:30, then the regular menu for the rest of the day. Frank assumes the distribution of wait times is normal and while the average wait times between breakfast and lunch customers are similar, Frank is concerned that the regular menu (served during the lunch time) causes more variability in the wait times. Frank had a consultant take samples and calculate the variance for wait times for breakfast and lunch customers. The consultant randomly sampled 21 breakfast wait times and 25 lunch wait times with the following results:

Breakfast s2 = 1.9       Lunch s2 = 4.4

At the 0.05 significance level, is there evidence that there is more variability in the lunch wait times than breakfast wait times?

Use the six-step hypothesis testing process. Do your work in Excel and submit the file before midnight, January 28.

*please write clearly the parts to this question, thank you.

Explanation / Answer

Step1:

Null hypothesis:

Ho:1 =2

Alternative Hypothesis:

Ho:1 <2

Alternative Hypothesis is claim

1-----refers to breakfast

2--------refers to lunch

Step2:

level of significance=0.05

Step3:

calculation of test statistic

Given sample sizes of n1 and n2, the test statistic will have   n11, and n21   degrees of freedom, and is given by the following formula.

F=1.92 /4.44

F=0.1865

Step4:

Decison Rule:

if p<0.05 reject null hypothesis

and if p>0.05 fail to reject null hypothesis

Step5:

calculation of p value

NR=Degrees of freedom=n1=1=21-1=20

DR=degrees of freedom=n2-1=25-1=24

Calculated F value=0.1865

P value=0.999

Step6:

p>0.05

Fail to Reject null hypothesis

Accept Null hypothesis

Conclusion:

there is insufficient evidence at 5% level of significance to support the claim that there is more variability in the lunch wait times than breakfast wait times.

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