Question
In: Statistics and Probability
The data below are yields for two different types of corn seed that were used on...
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed?
Type_1 Type_2
2060 2067
1983 1976
2043 2071
2473 2492
2241 2148
2092 1989
2075 2107
1538 1448
Solutions
Expert Solution
| Type 1 ( X ) |
 |
Type 2 ( Y ) |
 |
|
| 2060 | 9.7656 | 2067 | 885.0625 | |
| 1983 | 6420.0156 | 1976 | 3751.5625 | |
| 2043 | 405.0156 | 2071 | 1139.0625 | |
| 2473 | 167997.5156 | 2492 | 206797.5625 | |
| 2241 | 31639.5156 | 2148 | 12265.5625 | |
| 2092 | 833.7656 | 1989 | 2328.0625 | |
| 2075 | 141.0156 | 2107 | 4865.0625 | |
| 1538 | 275756.2656 | 1448 | 347215.5625 | |
| Total | 16505 | 483202.8748 | 16298 | 579247.5 |
Mean 
Standard deviation 
Mean 
Standard deviation 
Confidence interval :-
Lower Limit = 
Lower Limit = -271.6944
Upper Limit = 
Upper Limit = 323.4444
95% Confidence interval is ( -271.6944 , 323.4444 )
Since value 0 lies in the interval, hence we can conclude that there is no difference in the type of seeds
There is insufficient evidence to support the farmer Joe's claim that type 1 seed is better than type 2 seed.
orchestra answered 1 year agoRelated Solutions
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