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A survey of 39 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. Difference = Reported - Actual. From the sample of differences, the mean was 1.35, with a standard deviation of 0.58. a. Use the given information to estimate a 95% confidence intferval for the mean difference. Enter your answer as a tri-linear inequality accurate to 2 decimal places (because the sample statistics are reported accurate to 2 decimal places). <με b. Use the above confidence interval and explain whether it is plausible that the true mean difference is 1.3. Since Select an answer the confidence interval, it Select an answer ✓ plausible that the true mea difference is 1.3. c. Test the claim that the true mean difference is 1.3 at 0.05 significance level. Calculate and provide the p-value to test the above claim, rounded to 4 decimal places.

A survey of 39 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. Difference = Reported - Actual. From the sample of differences, the mean was 1.35, with a standard deviation of 0.58. a. Use the given information to estimate a 95% confidence intferval for the mean difference. Enter your answer as a tri-linear inequality accurate to 2 decimal places (because the sample statistics are reported accurate to 2 decimal places). <με b. Use the above confidence interval and explain whether it is plausible that the true mean difference is 1.3. Since Select an answer the confidence interval, it Select an answer ✓ plausible that the true mea difference is 1.3. c. Test the claim that the true mean difference is 1.3 at 0.05 significance level. Calculate and provide the p-value to test the above claim, rounded to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A survey of 39 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. Difference = Reported - Actual. From the sample of differences, the mean was 1.35, with a standard deviation of 0.58. a. Use the given information to estimate a 95% confidence intferval for the mean difference. Enter your answer as a tri-linear inequality accurate to 2 decimal places (because the sample statistics are reported accurate to 2 decimal places). b. Use the above confidence interval and explain whether it is plausible that the true mean difference is 1.3. Since Select an answer the confidence interval, it Select an answer plausible that the true mean difference is 1.3. c. Test the claim that the true mean difference is 1.3 at 0.05 significance level. F3 Calculate and provide the p-value to test the above claim, rounded to 4 decimal places. d. Do your conclusion based on p-value and conclusion based on confidence interval match? Yes both conlude it is NOT plausible that the true mean difference is 1.3. O No two methods give different conclusions. Yes both conlude it is plausible that the true mean difference is 1.3. Submit Question EI εμε 11 F4 D F5 F6 X DELL F7 F9 P
Transcribed Image Text:A survey of 39 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. Difference = Reported - Actual. From the sample of differences, the mean was 1.35, with a standard deviation of 0.58. a. Use the given information to estimate a 95% confidence intferval for the mean difference. Enter your answer as a tri-linear inequality accurate to 2 decimal places (because the sample statistics are reported accurate to 2 decimal places). b. Use the above confidence interval and explain whether it is plausible that the true mean difference is 1.3. Since Select an answer the confidence interval, it Select an answer plausible that the true mean difference is 1.3. c. Test the claim that the true mean difference is 1.3 at 0.05 significance level. F3 Calculate and provide the p-value to test the above claim, rounded to 4 decimal places. d. Do your conclusion based on p-value and conclusion based on confidence interval match? Yes both conlude it is NOT plausible that the true mean difference is 1.3. O No two methods give different conclusions. Yes both conlude it is plausible that the true mean difference is 1.3. Submit Question EI εμε 11 F4 D F5 F6 X DELL F7 F9 P
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