University survey of its undergraduate students reported that 62% of its students prefer coffee to tea. Suppose that you select a sample of 100 students. a. What is the probability that the sample percentage that perfer coffee will be between 57% and 70%? b.Calculate the range, centred on the population percentage, in which there is a 80% probability that the sample percentage will be in that range. There is a 80% probability that the sample percentage will be contained above ( )% and below ( )% c. Calculate the range, centred on the population percentage, in which there is a 97% probability that the sample percentage will be in that range. There is a 97% probability that the sample percentage will be contained above ( )% and below ( )%
University survey of its undergraduate students reported that 62% of its students prefer coffee to tea. Suppose that you select a sample of 100 students. a. What is the probability that the sample percentage that perfer coffee will be between 57% and 70%? b.Calculate the range, centred on the population percentage, in which there is a 80% probability that the sample percentage will be in that range. There is a 80% probability that the sample percentage will be contained above ( )% and below ( )% c. Calculate the range, centred on the population percentage, in which there is a 97% probability that the sample percentage will be in that range. There is a 97% probability that the sample percentage will be contained above ( )% and below ( )%
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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University survey of its undergraduate students reported that 62% of its students prefer coffee to tea. Suppose that you select a sample of 100 students.
a. What is the
b.Calculate the range, centred on the population percentage, in which there is a 80% probability that the sample percentage will be in that range.
There is a 80% probability that the sample percentage will be contained above ( )% and below ( )%
c. Calculate the range, centred on the population percentage, in which there is a 97% probability that the sample percentage will be in that range.
There is a 97% probability that the sample percentage will be contained above ( )% and below ( )%
d. Suppose you selected a sample of 400 students. How would this this change your answers in (a) through
(c)?
Increasing the sample size decreases the standard error, causing the value of the answer to (a) to increase and the ranges in (b) and (c) to narrow.
Increasing the sample size increases the standard error, causing the value of the answer to (a) to decrease and the ranges in (b) and (c) to widen.
Increasing the sample size decreases the standard error, causing the value of the answer to (a) to decrease and the ranges in (b) and (c) to narrow.
Increasing the sample size increases the standard error, causing the value of the answer to (a) to increase and the ranges in (b) and (c) to widen.
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