Given two dependent random samples with the following results:
Population 1 | 41 | 39 | 47 | 18 | 39 | 21 | 34 |
---|---|---|---|---|---|---|---|
Population 2 | 30 | 37 | 45 | 22 | 24 | 31 | 45 |
Use this data to find the 80% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.
Step 1 of 4:
Find the point estimate for the population mean of the paired differences. Let x1 be the value from Population 1 and x2 be the value from Population 2 and use the formula d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.
Use this data to find the 80% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.
Step 2 of 4:
Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
Step 3 of 4:
Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 4 of 4:
Construct the 80% confidence interval. Round your answers to one decimal place.
step 1:
point estimate for the population mean of the paired differences = -0.7
step 2:
Std deviaiton S_{D}=√(Σd^{2}-(Σd)^{2}/n)/(n-1) = | 9.894684 |
Step 3 of 4:
margin of error =5.385368
Step 4 of 4:
lower confidence limit = | -6.1 | |
upper confidence limit = | 4.7 |
Get Answers For Free
Most questions answered within 1 hours.