2. A random sample of 1500 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 (1 – a) * 100% Lower Limit Upper Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the sample size on the length of the confidence intervals for the same level of confidence and the same population standard deviation. That is, what happens to the length of the confidence intervals when the sample size is increased?
2. A random sample of 1500 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 (1 – a) * 100% Lower Limit Upper Limit 90% 95% 98% 99% b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of the sample size on the length of the confidence intervals for the same level of confidence and the same population standard deviation. That is, what happens to the length of the confidence intervals when the sample size is increased?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:2. A random sample of 1500 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
(1 — а) * 100%
Lower Limit
Upper Limit
90%
95%
98%
99%
b. Compare the confidence intervals obtained here with those in item 1. Discuss the effect of
the sample size on the length of the confidence intervals for the same level of confidence and
the same population standard deviation. That is, what happens to the length of the confidence
intervals when the sample size is increased?
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