Question

A fast food restaurant chain claims that lunch will be served within nine minutes of placing your order, or it is free. A sample of eight customers revealed the following waiting times in minutes:

10.1

9.3

9.2

10.2

9.3

9.6

9.4

8.8

At the 0.01 significance level, can we conclude that the waiting time for lunch exceeds nine minutes? Estimate the p-value.

a. State the null hypothesis and the alternate hypothesis.

H₀: μ ≤            

H₁: μ >            

b. State the decision rule for 0.01 significance level. (Round the final answer to 3 decimal places.)

Reject H₀ if t >             .

c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

Value of the test statistic            

d. At the 0.01 significance level, can we conclude that the waiting time for lunch exceeds nine minutes?

  (Click to select)   Do not reject   Reject  H₀. There is   (Click to select)   not enough   enough  evidence to conclude that the waiting time is longer than 9 minutes.

e. Estimate the p-value.

p-value is             .

Answer 1

	Values ( X )
	10.1	0.3752
	9.3	0.0352
	9.2	0.0827
	10.2	0.5077
	9.3	0.0352
	9.6	0.0127
	9.4	0.0077
	8.8	0.4727
Total	75.9	1.5291

Mean

Standard deviation

To Test :-

H₀: μ ≤ 9   

H₁: μ > 9

Test Statistic :-


t = 2.9501   2.95

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Conclusion :- There is insufficient evidence to conclude that the waiting time is longer than 9 minutes.

P value = P ( t > 2.950 ) = 0.0107