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 1988 2014 2190 2478 2208 1983 2258 1504 Type 2 2012 1919 2099 2437 2167 1911 2179 1444 In this​ example, mu Subscript 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 24.66 less thanmu Subscript dless than89.09 . ​(Round to two decimal places as​ needed.) What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed? A. Because the confidence interval only includes positive values and does not include ​zero, there is sufficient evidence to support farmer​ Joe's claim. This is the correct answer. B. Because the confidence interval includes ​zero, there is sufficient evidence to support farmer​ Joe's claim. C. Because the confidence interval only includes positive values and does not include ​zero, there is not sufficient evidence to support farmer​ Joe's claim. Your answer is not correct. D. Because the confidence interval includes ​zero, there is not sufficient evidence to support farmer​ Joe's claim.

Answer 1

Type1	Type2
1988	2012
2014	1919
2190	2099
2478	2437
2208	2167
1983	1911
2258	2179
1504	1444

Type1		Type2
Mean	2077.875	2021
Standard Error	101.1135213	101.8519584
Median	2102	2055.5
Mode	#N/A	#N/A
Standard Deviation	285.9922264	288.0808418
Sample Variance	81791.55357	82990.57143
Kurtosis	2.057343131	2.176705281
Skewness	-0.955315399	-0.915977154
Range	974	993
Minimum	1504	1444
Maximum	2478	2437
Sum	16623	16168
Count	8	8