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 2008 1884 2102 2542 2076 1902 2214 1496   Type 2 2035 1913 2099 2437 2111 1938 2168 1496   In this​ example, μd 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 _____<μd<______​(Round to two decimal places as​ needed.)

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

2008

1884

2102

2542

2076

1902

2214

1496

 

Type 2

2035

1913

2099

2437

2111

1938

2168

1496

 

In this​ example, μd 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

_____<μd<______​(Round to two decimal places as​ needed.)

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