Given two dependent random samples with the following results: Population 129472940361737Population 244382149492535 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 2 of 4 : Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
Added by Robert L.
Step 1
- Compute the paired differences d_i = a_i − b_i for i = 1,...,15. - The numbers are: a = 1 2 9 4 7 2 9 4 0 3 6 1 7 3 7 and b = 2 4 4 3 8 2 1 4 9 4 9 2 5 3 5 - Differences: [-1, -2, 5, 1, -1, 0, 8, 0, -9, -1, -3, -1, 2, 0, 2] Show more…
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Given two dependent random samples with the following results: Population 1: 29 47 29 40 36 17 37 Population 2: 44 38 21 49 49 25 35 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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