Question
General Information: At the Hawaii Pineapple Company, managers are interested in the size of the pineapples grown in the company's fields. Last year, the weight
General Information: At the Hawaii Pineapple Company, managers are interested in the size of the pineapples grown in the company's fields. Last year, the weight of the pineapples harvested from one large field was roughly normally distributed with a mean of 31 ounces and a standard deviation of 4 ounces. A different irrigation system was installed in this field after the growing season. Managers wonder if the the mean weight of pineapples grown in the field this year will be different from last.
Question: Suppose the managers collect a random sample of size 51 from their field this year to test the hypotheses: Ho : = 31 versus Ha : = 31 at a 10% significance level. They still believe it is reasonable to assume the distribution of weights for the pineapples is approximately normal, but they are not going to assume they know . The collected pineapple weights can be found in the Pineapples.csv file on Canvas.
Data:
1 | 33.61 |
2 | 33.88 |
3 | 33.11 |
4 | 37.05 |
5 | 31.41 |
6 | 30.69 |
7 | 33.94 |
8 | 30.54 |
9 | 26.04 |
10 | 36.01 |
11 | 39.7 |
12 | 35.6 |
13 | 34.96 |
14 | 33.06 |
15 | 33.63 |
16 | 34.59 |
17 | 32.99 |
18 | 36.08 |
19 | 32.33 |
20 | 36.16 |
21 | 25.06 |
22 | 35.7 |
23 | 30.74 |
24 | 34.33 |
25 | 40.02 |
26 | 30.95 |
27 | 32.68 |
28 | 36.57 |
29 | 32.44 |
30 | 33.58 |
31 | 26.44 |
32 | 29.52 |
33 | 35.39 |
34 | 37.96 |
35 | 31.56 |
36 | 37.47 |
37 | 34.22 |
38 | 27.87 |
39 | 26.08 |
40 | 30.81 |
41 | 36.86 |
42 | 32.92 |
43 | 34.29 |
44 | 40.86 |
45 | 33.3 |
46 | 28.46 |
47 | 34.1 |
48 | 35.85 |
49 | 37.39 |
50 | 37.8 |
51 | 35.36 |
1. Perform a bootstrap hypothesis test of Ho : = 31 versus Ha : = 31 at the 10% level. i. (PLEASE USE R MARKDOWN PLEASE!!)
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