Question
Stan works in agricultural science. He is investigating a new variety of corn that is supposed to have an exceptionally high yield. He hopes to
Stan works in agricultural science. He is investigating a new variety of corn that is supposed to have an exceptionally high yield. He hopes to be able to demonstrate that the average yield of the new variety of corn exceeds the average yield from varieties currently used by farmers. The average yield from varieties currently used by farmers is 169 bushels per acre. A research facility that has developed the new variety of corn supplies him with data from 25 experimental plots planted with the new variety of corn. The data are attached below.
Plot number | Yield(bushels per acre) |
1 | 185.42 |
2 | 171.02 |
3 | 164.52 |
4 | 159.62 |
5 | 185.69 |
6 | 173.67 |
7 | 168.48 |
8 | 166.18 |
9 | 179.21 |
10 | 159.29 |
11 | 160.47 |
12 | 179.96 |
13 | 169.86 |
14 | 170.11 |
15 | 182.01 |
16 | 187.71 |
17 | 176.17 |
18 | 169.77 |
19 | 166.31 |
20 | 164.84 |
21 | 167.65 |
22 | 170.07 |
23 | 175.98 |
24 | 174.62 |
25 | 183.15 |
The hypotheses are
0:169H0:169
:>169Ha:>169
= average yield from all areas planted with the new variety of corn
Remember that the conditions for the procedure are:
Representative sample
No outliers in the sample
The population should be normal
Outliers and normality don't matter if the sample is large.
(1 point) Please complete:
The appropriate procedure is (please choose one) 1-sample z / 1-sample t because...
(3 points) Please check the conditions above. For each requirement, please be sure to include what you are doing in order to check.
(1 point) Please write down the test statistic and the p-value
(1 point) Please write down the conclusion.
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