This Question: 1 pt This Quiz: 6 pts possib The data below are yields for two di

Question

This Question: 1 pt This Quiz: 6 pts possib 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 randam differences have a distribution that is approximately norma 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? and that the Type 1 2097 1943 2013 2504 2243 2052 2145 1511 Type 2 2092 1966 2014 2446 2148 1995 2131 1441 In this example, Hd 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 ide minus the type 2 seed yield. The 95% confidence interval is

Explanation / Answer

Solution:-

mean difference = sum of terms /number of terms = 275/8 = 34.375

sd = 41.1198

df = n-1 = 8-1 = 7

t(a/2,n-1) = t(0.025, 7) = 2.365

The 95% confidence interval is = X +/- t*sd/sqrt(n)

= 34.375 +/- 2.365*41.1198/sqrt(8)

= -0.0074 , 68.7575

=-0.01 , 68.76(rounded)

=> option B. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.

type-1 2097 1943 2013 2504 2243 2052 2145 1511 type-2 2092 1966 2014 2446 2148 1995 2131 1441 difference 5 -23 -1 58 95 57 14 70

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