Question
In: Statistics and Probability
There are three registers at the local grocery store. I suspect the mean wait-times for the...
There are three registers at the local grocery store. I suspect the mean wait-times for the registers are different. The sample data is depicted below. It gives the wait-times in minutes.
| Register 1 | Register 2 | Register 3 |
| 2.0 | 1.8 | 2.1 |
| 2.0 | 2.0 | 2.1 |
| 1.1 | 2.2 | 1.8 |
| 2.0 | 1.9 | 1.5 |
| 1.0 | 1.8 | 1.4 |
| 2.0 | 2.1 | 1.4 |
| 1.0 | 2.2 | 2.0 |
| 1.3 | 2.1 | 1.8 |
The Test: Complete the steps in testing the claim that there is a difference in mean wait-times between the registers.
(a) What is the null hypothesis for this test?
H0: μ1 ≠ μ2 ≠ μ3.
H0: μ1 = μ2 = μ3.
H0: At least one of the population means is different from the others.
H0: μ2 > μ3 > μ1.
(b) What is the alternate hypothesis for this test?
H1: At least one of the population means is different from the others.
H1: μ1 ≠ μ2 ≠ μ3.
H1: μ2 > μ3 > μ1.
H1: μ1 = μ2 = μ3.
(c) Use software to get the P-value of the test statistic (
F ). Round to 4 decimal places unless your
software automatically rounds to 3 decimal places.
P-value =
(d) What is the conclusion regarding the null hypothesis at the
0.10 significance level?
reject H0
fail to reject H0
(e) Choose the appropriate concluding statement.
We have proven that all of the mean wait-times are the same.
There is sufficient evidence to conclude that the mean wait-times are different.
There is not enough evidence to conclude that the mean wait-times are different.
(f) Does your conclusion change at the 0.05 significance level?
Yes
No
Solutions
Expert Solution
The statistical software output for this problem is :
H0: μ1 = μ2 = μ3.
H1: At least one of the population means is different from the others.
P-value = 0.0446
reject H0
There is sufficient evidence to conclude that the mean wait-times are different.
Yes
orchestra answered 1 year agoRelated Solutions
Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect...
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
2.6
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.8
2.2
1.7
The Test: Complete the steps in testing the
claim that there is a difference...
Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect...
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.8
2.1
2.1
The Test: Complete the steps in testing the
claim that there is a difference...
Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect...
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.6
2.0
1.7
The Test: Complete the steps in testing the
claim that there is a difference...
Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect...
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.5
1.7
1.9
The Test: Complete the steps in testing the
claim that there is a difference...
Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect...
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.4
1.8
2.0
The Test: Complete the steps in testing the
claim that there is a difference...
2. Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I...
2.
Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.4
2.2
1.8
The Test: Complete the steps in testing the
claim that there is a...
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