Consider the population of senior high school students across the Philippines. A random sample was selected to find out how many hours per day a typical student spends taking meals. 1. 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 s = 0.5 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. Level of Confidence (1 – a) * 100% Confidence Interval for u Upper Limit (1 – a) * 100% Lower Limit 90% 95% 98% 99% b. Discuss the effect of the level of confidence on the length of the confidence intervals, holding the size of the sample and the standard deviation of the population constant. That is, what happens to the length of the confidence interval as the level of confidence increases?
Consider the population of senior high school students across the Philippines. A random sample was selected to find out how many hours per day a typical student spends taking meals. 1. 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 s = 0.5 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. Level of Confidence (1 – a) * 100% Confidence Interval for u Upper Limit (1 – a) * 100% Lower Limit 90% 95% 98% 99% b. Discuss the effect of the level of confidence on the length of the confidence intervals, holding the size of the sample and the standard deviation of the population constant. That is, what happens to the length of the confidence interval as the level of confidence increases?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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