Graeter’s is thinking about expanding its ice cream flavors. They have created three new flavors of ice cream: (1) Lemon Merengue Pie, (2) Butterscotch, and (3) Banana Cream Pie. They recruit 18 people to participate in their study, and they assign each participant to taste-test one of their new ice cream flavors. After tasting the flavor, participants rate their likelihood of ordering that ice cream flavor on their next trip to Graeter’s, using a scale from 1 (I definitely wouldn’t order this flavor) to 10 (I definitely would order this flavor). The data is as follows: Participant Ice Cream Flavor Ice Cream Rating 1 Lemon Merengue Pie 7 2 Lemon Merengue Pie 6 3 Lemon Merengue Pie 8 4 Lemon Merengue Pie 5 5 Lemon Merengue Pie 7 6 Lemon Merengue Pie 9 7 Butterscotch 4 8 Butterscotch 5 9 Butterscotch 3 10 Butterscotch 1 11 Butterscotch 6 12 Butterscotch 2 13 Banana Cream Pie 7 14 Banana Cream Pie 8 15 Banana Cream Pie 6 16 Banana Cream Pie 10 17 Banana Cream Pie 9 18 Banana Cream Pie 8 For this problem, complete the following steps. You must show ALL OF YOUR WORK for this problem. Identify the two hypotheses. Determine the critical region for your decision (use α = 0.05). Compute the test statistic.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Graeter’s is thinking about expanding its ice cream flavors. They have created three new flavors of ice cream: (1) Lemon Merengue Pie, (2) Butterscotch, and (3) Banana Cream Pie. They recruit 18 people to participate in their study, and they assign each participant to taste-test one of their new ice cream flavors. After tasting the flavor, participants rate their likelihood of ordering that ice cream flavor on their next trip to Graeter’s, using a scale from 1 (I definitely wouldn’t order this flavor) to 10 (I definitely would order this flavor). The data is as follows:
|
Participant |
Ice Cream Flavor |
Ice Cream Rating |
|
1 |
Lemon Merengue Pie |
7 |
|
2 |
Lemon Merengue Pie |
6 |
|
3 |
Lemon Merengue Pie |
8 |
|
4 |
Lemon Merengue Pie |
5 |
|
5 |
Lemon Merengue Pie |
7 |
|
6 |
Lemon Merengue Pie |
9 |
|
7 |
Butterscotch |
4 |
|
8 |
Butterscotch |
5 |
|
9 |
Butterscotch |
3 |
|
10 |
Butterscotch |
1 |
|
11 |
Butterscotch |
6 |
|
12 |
Butterscotch |
2 |
|
13 |
Banana Cream Pie |
7 |
|
14 |
Banana Cream Pie |
8 |
|
15 |
Banana Cream Pie |
6 |
|
16 |
Banana Cream Pie |
10 |
|
17 |
Banana Cream Pie |
9 |
|
18 |
Banana Cream Pie |
8 |
For this problem, complete the following steps. You must show ALL OF YOUR WORK for this problem.
- Identify the two hypotheses.
- Determine the critical region for your decision (use α = 0.05).
- Compute the test statistic.
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