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In a certain high school, it is believed that students having a weight of more than 125 lbs is considered overweight. Past data showed that the weights (in lbs) of high school students from this school is normally distributed with a standard deviation of 12.3 lbs. The principal of this high school would like to check if the current students are overweight. He took a random sample of 25 students and found out that the average weight is 107.6 lbs. The principal would like to estimate the true mean weight of the high school students in their school using a 90% confidence interval. A. What is the best point estimate for the true mean weight of the students in that high school? [Select] B. What is the margin of error if we are to construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] C. Construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] D. Should the principal conclude that their current students are overweight? [Select]

In a certain high school, it is believed that students having a weight of more than 125 lbs is considered overweight. Past data showed that the weights (in lbs) of high school students from this school is normally distributed with a standard deviation of 12.3 lbs. The principal of this high school would like to check if the current students are overweight. He took a random sample of 25 students and found out that the average weight is 107.6 lbs. The principal would like to estimate the true mean weight of the high school students in their school using a 90% confidence interval. A. What is the best point estimate for the true mean weight of the students in that high school? [Select] B. What is the margin of error if we are to construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] C. Construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] D. Should the principal conclude that their current students are overweight? [Select]

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
Section10.4: Distributions Of Data
Problem 19PFA
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answer A, C, and D

In a certain high school, it is believed that students having a weight of more than 125 lbs is considered overweight. Past data showed that the weights (in lbs) of high school students from this school is normally distributed with a standard deviation of 12.3 lbs. The principal of this high school would like to check if the current students are overweight. He took a random sample of 25 students and found out that the average weight is 107.6 lbs. The principal would like to estimate the true mean weight of the high school students in their school using a 90% confidence interval. A. What is the best point estimate for the true mean weight of the students in that high school? [Select] B. What is the margin of error if we are to construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] C. Construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] D. Should the principal conclude that their current students are overweight? [Select] [Select] E. If the principal wants to be 90% confident that the true mean weight of th 3.5 lbs, what sample size is needed? [Select] No, because the lower and upper bounds of the confidence interval are less than 125 pounds. Yes, because 125 pounds is inside the constructed confidence interval. Yes, because the lower and upper bounds of the confidence interval are less than 125 pounds. No, because 125 pounds is inside the constructed confidence interval.
Transcribed Image Text:In a certain high school, it is believed that students having a weight of more than 125 lbs is considered overweight. Past data showed that the weights (in lbs) of high school students from this school is normally distributed with a standard deviation of 12.3 lbs. The principal of this high school would like to check if the current students are overweight. He took a random sample of 25 students and found out that the average weight is 107.6 lbs. The principal would like to estimate the true mean weight of the high school students in their school using a 90% confidence interval. A. What is the best point estimate for the true mean weight of the students in that high school? [Select] B. What is the margin of error if we are to construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] C. Construct a 90% confidence interval estimate for the true mean weight of the students in that high school? [Select] D. Should the principal conclude that their current students are overweight? [Select] [Select] E. If the principal wants to be 90% confident that the true mean weight of th 3.5 lbs, what sample size is needed? [Select] No, because the lower and upper bounds of the confidence interval are less than 125 pounds. Yes, because 125 pounds is inside the constructed confidence interval. Yes, because the lower and upper bounds of the confidence interval are less than 125 pounds. No, because 125 pounds is inside the constructed confidence interval.
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