Question
In: Statistics and Probability
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 in mean wait-times between the registers.
(a) What is the null hypothesis for this test?
H0: μ1 ≠ μ2 ≠ μ3.
H0: At least one of the population means is different from the others.
H0: μ1 = μ2 = μ3.
H0: μ2 > μ3 > μ1.
(b) What is the alternate hypothesis for this test?
H1: μ2 > μ3 > μ1.H1:
μ1 = μ2 = μ3.
H1: At least one of the population means is different from the others.
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
0.01 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 0.10 significance level?
Yes
No
Solutions
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
1.4
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...
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...
Register Balance (Raw Data, Software Required): Here we investigate whether the register balance at a local...
Register Balance (Raw Data, Software
Required):
Here we investigate whether the register balance at a local retail
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manager is off-duty. Evidence like this might be used to determine
whether or not an employee is stealing money from the register when
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means the register balance is right on, negative means there is
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Register Balance (Raw Data, Software Required): Here we investigate whether the register balance at a local...
Register Balance (Raw Data, Software
Required):
Here we investigate whether the register balance at a local retail
store is better when a manager is on-duty compared to when a
manager is off-duty. Evidence like this might be used to determine
whether or not an employee is stealing money from the register when
no manager is around. The table below gives the register balance (0
means the register balance is right on, negative means there is
less money than there should...
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used a chemical fertilizer. He wants to see if there is a
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fields. The sample data for tomato-weights in grams is given below.
Carl claims there is a difference in the mean weight for all
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Tomato weights and Fertilizer (Raw Data, SOFTWARE REQUIRED): Carl the farmer has three fields of tomatoes,...
Tomato weights and Fertilizer (Raw Data, SOFTWARE
REQUIRED):
Carl the farmer has three fields of tomatoes, on one he used no
fertilizer, in another he used organic fertilizer, and the third he
used a chemical fertilizer. He wants to see if there is a
difference in the mean weights of tomatoes from the different
fields. The sample data for tomato-weights in grams is given below.
Carl claims there is a difference in the mean weight for all
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