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Suppose in total 26,500 students are studying at North South University and 14500 of them are female. A random sample of 1540 students is selected from this university, and 990 of them are male. a) Find the proportion of female students in the population and in the sample. b) Find the mean and standard deviation of the sample proportion of female students. c) Find the probability that the proportion of female students is within 0.02 of the population proportion. d) Construct a 92% confidence interval for the proportion of all NSU students.

Suppose in total 26,500 students are studying at North South University and 14500 of them are female. A random sample of 1540 students is selected from this university, and 990 of them are male. a) Find the proportion of female students in the population and in the sample. b) Find the mean and standard deviation of the sample proportion of female students. c) Find the probability that the proportion of female students is within 0.02 of the population proportion. d) Construct a 92% confidence interval for the proportion of all NSU students.

A First Course in Probability (10th Edition)
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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Q2. Suppose in total 26,500 students are studying at North South University and 14500 of them are female. A random sample of 1540 students is selected from this university, and 990 of them are male. a) Find the proportion of female students in the population and in the sample. b) Find the mean and standard deviation of the sample proportion of female students. c) Find the probability that the proportion of female students is within 0.02 of the population proportion. d) Construct a 92% confidence interval for the proportion of all NSU students.
Transcribed Image Text:Q2. Suppose in total 26,500 students are studying at North South University and 14500 of them are female. A random sample of 1540 students is selected from this university, and 990 of them are male. a) Find the proportion of female students in the population and in the sample. b) Find the mean and standard deviation of the sample proportion of female students. c) Find the probability that the proportion of female students is within 0.02 of the population proportion. d) Construct a 92% confidence interval for the proportion of all NSU students.
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