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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 2 years ago
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