The data below are yields for two different types of corn seed that were used on
ID: 3436312 • Letter: T
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 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 isExplanation / Answer
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
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.