Given two dependent random samples with the following results: Population 1 19 26 26 30 48 33 31 Population 2 24 38 40 38 39 41 29 Use this data to find the 98% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Step 1. 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. Answer: Step 2. Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places. Answer: Step 3. Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Answer: Step 4. Construct the 98% confidence interval. Round your answers to one decimal place. Answer: Lower endpoint: Upper endpoint:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given two dependent random samples with the following results:
Population 1 19 26 26 30 48 33 31
Population 2 24 38 40 38 39 41 291
Use this data to find the 98% confidence interval for the true difference between the
population means. Assume that both populations are normally distributed.
Step 1. 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.
Answer:
Step 2. Calculate the sample standard deviation of the paired differences. Round your
answer to six decimal places.
Answer:
Step 3. Calculate the margin of error to be used in constructing the confidence interval.
Round your answer to six decimal places.
Answer:
Step 4. Construct the 98% confidence interval. Round your answers to one decimal
place.
Answer: Lower endpoint:
Upper endpoint:
Transcribed Image Text:Given two dependent random samples with the following results: Population 1 19 26 26 30 48 33 31 Population 2 24 38 40 38 39 41 291 Use this data to find the 98% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Step 1. 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. Answer: Step 2. Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places. Answer: Step 3. Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Answer: Step 4. Construct the 98% confidence interval. Round your answers to one decimal place. Answer: Lower endpoint: Upper endpoint:
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