The data below are yields for two different types of corn se

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 yield. What does the confidence interval suggest about farmer Joe?s claim that type 1 seed is better than type 2 seed? In this example, Mud 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

Solution

1 Sample

Sample Size

8

Sample Mean

2077.125

Sample Standard Deviation

264.5797

2 Sample

Sample Size

8

Sample Mean

2022

Sample Standard Deviation

264.1066

Intermediate Calculations

Population 1 Sample Degrees of Freedom

7

Population 2 Sample Degrees of Freedom

7

Total Degrees of Freedom

14

Pooled Variance

69877.3482

Standard Error

132.1716

Difference in Sample Means

55.1250

Confidence Level

95%

Intermediate Calculations

Degrees of Freedom

14

t Value

2.1448

Interval Half Width

283.4799

Confidence Interval

Interval Lower Limit

-228.3549

Interval Upper Limit

338.6049

95% CI for the difference = ( -228.35, 338.60 )    ( two decimals)

1 Sample
Sample Size	8
Sample Mean	2077.125
Sample Standard Deviation	264.5797
2 Sample
Sample Size	8
Sample Mean	2022
Sample Standard Deviation	264.1066
Intermediate Calculations
Population 1 Sample Degrees of Freedom	7
Population 2 Sample Degrees of Freedom	7
Total Degrees of Freedom	14
Pooled Variance	69877.3482
Standard Error	132.1716
Difference in Sample Means	55.1250