A five-star restaurant has the business objective of improving customer waiting time during the noon-to-1 p.m. lunch period. The manager decides to compare the waiting time between the restaurant's two locations. A random sample of 15 customers was selected from Location 1, and another random sample of 15 customers was selected from location 2 on the same day. The waiting times collected from both samples are stored in the following table. Location 1 Location 2 4.21 9.66 5.55 5.90 3.02 8.02 5.13 5.79 4.77 8.73 2.34 8.01 3.54 8.35 3.20 10.49 4.50 6.68 6.10 5.64 0.38 4.08 5.12 6.17 6.46 9.91 6.19 5.47 3.79 3.82 At a 0.05 level of significance, is there evidence of a difference in the means waiting time between the two locations? Determine the p-value in (a) and interpret its meaning. What assumption about the population distribution of each location is necessary in (a)? Is the assumption valid for these
A five-star restaurant has the business objective of improving customer waiting time during the noon-to-1 p.m. lunch period. The manager decides to compare the waiting time between the restaurant's two locations. A random sample of 15 customers was selected from Location 1, and another random sample of 15 customers was selected from location 2 on the same day. The waiting times collected from both samples are stored in the following table.
|
Location 1 |
Location 2 |
|
4.21 |
9.66 |
|
5.55 |
5.90 |
|
3.02 |
8.02 |
|
5.13 |
5.79 |
|
4.77 |
8.73 |
|
2.34 |
8.01 |
|
3.54 |
8.35 |
|
3.20 |
10.49 |
|
4.50 |
6.68 |
|
6.10 |
5.64 |
|
0.38 |
4.08 |
|
5.12 |
6.17 |
|
6.46 |
9.91 |
|
6.19 |
5.47 |
|
3.79 |
3.82 |
-
At a 0.05 level of significance, is there evidence of a difference in the
means waiting time between the two locations? -
Determine the p-value in (a) and interpret its meaning.
-
What assumption about the population distribution of each location is necessary in (a)? Is the assumption valid for these
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