a. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 95% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 90% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original? b. Suppose two researchers want to estimate the proportion of American college students who favor abolishing the penny. They both want to have about the same margin of error to estimate this proportion. However, Researcher 1 wants to estimate with 95% confidence and Researcher 2 wants to estimate with 99% confidence. Which researcher would need fewer students for her study in order to obtain the desired margin of error? The answer is Researcher c. A 95% confidence interval for the mean reading achievement score for a population of third grade students is (55, 65). The margin of error of this interval is what whole number?

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...
icon
Related questions
Question
a. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 95% confidence interval for the mean foot length for students at this
university turns out to be (21.709, 25.091). If we now calculated a 90% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original?
b. Suppose two researchers want to estimate the proportion of American college students who favor abolishing the penny. They both want to have about the same margin of error to estimate this proportion.
However, Researcher 1 wants to estimate with 95% confidence and Researcher 2 wants to estimate with 99% confidence. Which researcher would need fewer students for her study in order to obtain the
desired margin of error? The answer is Researcher
c. A 95% confidence interval for the mean reading achievement score for a population of third grade students is (55, 65). The margin of error of this interval is what whole number?
d. Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second
sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which number of data values would you expect to give a greater precision
(a smaller width) for estimating the population mean? The answer is the sample with
data values.
e. Each of the 110 students in a statistics class selects a different random sample of 35 quiz scores from a population of 5000 quiz scores they are given. Using their data, each student constructs a 90%
confidence interval for mu, the average quiz score of the 5000 students. Is the following statement correct, yes or no?
About 10% of the raw scores in the samples will not be found in these confidence intervals.
Transcribed Image Text:a. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 95% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 90% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original? b. Suppose two researchers want to estimate the proportion of American college students who favor abolishing the penny. They both want to have about the same margin of error to estimate this proportion. However, Researcher 1 wants to estimate with 95% confidence and Researcher 2 wants to estimate with 99% confidence. Which researcher would need fewer students for her study in order to obtain the desired margin of error? The answer is Researcher c. A 95% confidence interval for the mean reading achievement score for a population of third grade students is (55, 65). The margin of error of this interval is what whole number? d. Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean? The answer is the sample with data values. e. Each of the 110 students in a statistics class selects a different random sample of 35 quiz scores from a population of 5000 quiz scores they are given. Using their data, each student constructs a 90% confidence interval for mu, the average quiz score of the 5000 students. Is the following statement correct, yes or no? About 10% of the raw scores in the samples will not be found in these confidence intervals.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON