To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95 % confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Show supporting work for each step that follows. Sit-ups before: 30, 36, 22, 56, 28, 23, 33, 33, 29, 28 Sit-ups after: 42, 43, 30, 58, 44, 32, 44, 47, 47, 43 Step 4 of 4: Construct the 95 % confidence interval. Round your answers to one decimal place. Lower endpoint: Upper endpoint:
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Let $d_i$ be the difference in the number of sit-ups for the $i$-th individual, where $d_i = \text{sit-ups after} - \text{sit-ups before}$. Show more…
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Test the effect of a physical fitness course on one's physical ability; the number of sit-ups that a person could do in one minute; both before and after the course; was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table: Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Show supporting work for each step that follows: Lower endpoint Upper endpoint
Madhur L.
To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 90 % confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Sit-ups before 56 27 23 28 27 34 54 50 28 21 Sit-ups after 60 45 31 39 39 36 58 60 38 29 Step 1 of 4: Find the point estimate for the population mean of the paired differences. Let x1 be the number of sit-ups before taking the course and x2 be the number of sit-ups after taking the course and use the formula d = x2 - x1 to calculate the paired differences. Round your answer to one decimal place.
To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals were randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Sit-ups before | Sit-ups after 21 | 28 20 | 29 33 | 45 25 | 31 23 | 31 46 | 59 43 | 50 35 | 45 28 | 31 24 | 28 Step 1: Find the point estimate for the population mean of the paired differences. Let x1 be the number of sit-ups before taking the course and x2 be the number of sit-ups after taking the course, and use the formula d = x2 - x1 to calculate the paired differences. Round your answer to one decimal place. Step 2: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places. Step 3: Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Step 4: Construct the 95% confidence interval. Round your answers to one decimal place.
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