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

2010

2046

2007

2504

2135

1973

2146

1420

Type 2

2048

1995

2015

2418

2167

1961

2144

1403

In this​ example, 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.

Find the​ 95% confidence interval.

____ < µd < ____

​(Round to two decimal places as​ needed.)

Answer 1

Here we have data:

Type1	Type2	d = Type1 - Type2
2010	2048	-38
2046	1995	51
2007	2015	-8
2504	2418	86
2135	2167	-32
1973	1961	12
2146	2144	2
1420	1403	17