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The data below are yields for two different types of corn seed that were used on

ID: 3310994 • Letter: T

Question

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 2156 2081 1930 1948 2127 2015 2467 2498 2214 2161 2011 1954 2124 2124 1455 1433 In this example, d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The 95% confidence interval is ---?---<d<-----?------. (Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Type I and Type II
95% confidence interval results:

Hence,

95% confidence interval will be:

-7.31 < d < 74.81

Difference Mean Std. Err. DF L. Limit U. Limit Type I - Type II 33.75 17.363498 7 -7.3081483 74.808148
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