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3. A random sample of 1000 students was selected from among the senior high school students across the Philippines. The average number of hours per day a typical student spends taking meals was found to be 2 h. Suppose the standard deviation of the population is actually S = 1.5 h. a. Construct the appropriate confidence intervals for the true mean number of hours per day a typical student spends taking meals. Summarize your answers in the table below. (1 – a) * 100% Confidence Interval for u Upper Limit Level of Confidence (1– a) * 100% Lower Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the population standard deviation on the length of the confidence intervals for the same level of confidence and fixed sample size. That is, what happens to the length of the confidence intervals when the population from which you are sampling becomes more dispersed?

3. A random sample of 1000 students was selected from among the senior high school students across the Philippines. The average number of hours per day a typical student spends taking meals was found to be 2 h. Suppose the standard deviation of the population is actually S = 1.5 h. a. Construct the appropriate confidence intervals for the true mean number of hours per day a typical student spends taking meals. Summarize your answers in the table below. (1 – a) * 100% Confidence Interval for u Upper Limit Level of Confidence (1– a) * 100% Lower Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the population standard deviation on the length of the confidence intervals for the same level of confidence and fixed sample size. That is, what happens to the length of the confidence intervals when the population from which you are sampling becomes more dispersed?

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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3. A random sample of 1000 students was selected from among the senior high school students across the Philippines. The average number of hours per day a typical student spends taking meals was found to be 2 h. Suppose the standard deviation of the population is actually S = 1.5 h. a. Construct the appropriate confidence intervals for the true mean number of hours per day a typical student spends taking meals. Summarize your answers in the table below. (1 - a) * 100% Confidence Interval for u Upper Limit Level of Confidence (1 – a) * 100% Lower Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the population standard deviation on the length of the confidence intervals for the same level of confidence and fixed sample size. That is, what happens to the length of the confidence intervals when the population from which you are sampling becomes more dispersed?
Transcribed Image Text:3. A random sample of 1000 students was selected from among the senior high school students across the Philippines. The average number of hours per day a typical student spends taking meals was found to be 2 h. Suppose the standard deviation of the population is actually S = 1.5 h. a. Construct the appropriate confidence intervals for the true mean number of hours per day a typical student spends taking meals. Summarize your answers in the table below. (1 - a) * 100% Confidence Interval for u Upper Limit Level of Confidence (1 – a) * 100% Lower Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the population standard deviation on the length of the confidence intervals for the same level of confidence and fixed sample size. That is, what happens to the length of the confidence intervals when the population from which you are sampling becomes more dispersed?
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