. For each of the following, determine the sample size needed to get the desired accuracy of the sample statistic in estimating the appropriate population parameter, with the desired level of confidence. Explain the process you use to find the needed sample size. Do not actually try to calculate the confidence interval, you don't have enough information. • You want to estimate the mean weight of a certain species of frog, within a margin of error no more than .7 grams, with 95% confidence. You have reason to believe the population standard deviation is 1.3 grams. How many frogs do you need? • You want to estimate the proportion of cherry trees which have a particular genetic mutation, with a margin of error no more than 2%, with 99% confidence. You do not know anything about the population proportion. How many trees should you analyze? Finding Confidence Intervals . For each of the following, calculate the stated confidence interval, explaining all steps in your process. Then write a statement interpreting the confidence interval in context. • A survey of 500 randomly chosen students at a particular college found that 117 of them actively attend student Q&A hours with their professor. Find the 95% confidence interval for the proportion of students at that college who actively attend student Q&A hours. • A survey of 25 randomly chosen students at a particular college found that the mean number of years the students were out of school before enrolling at the college was 7.6 years, with a sample standard deviation of 1.4 years. Find the 99% confidence interval for the mean number of years the students were out of school before enrolling at the college. . For the scenario above with the mean number of years students were out of school before enrolling in college, find the 99% confidence interval for the mean again, but this time with the assumption that the population standard deviation is 2.3 years. 31 US
. For each of the following, determine the sample size needed to get the desired accuracy of the sample statistic in estimating the appropriate population parameter, with the desired level of confidence. Explain the process you use to find the needed sample size. Do not actually try to calculate the confidence interval, you don't have enough information. • You want to estimate the mean weight of a certain species of frog, within a margin of error no more than .7 grams, with 95% confidence. You have reason to believe the population standard deviation is 1.3 grams. How many frogs do you need? • You want to estimate the proportion of cherry trees which have a particular genetic mutation, with a margin of error no more than 2%, with 99% confidence. You do not know anything about the population proportion. How many trees should you analyze? Finding Confidence Intervals . For each of the following, calculate the stated confidence interval, explaining all steps in your process. Then write a statement interpreting the confidence interval in context. • A survey of 500 randomly chosen students at a particular college found that 117 of them actively attend student Q&A hours with their professor. Find the 95% confidence interval for the proportion of students at that college who actively attend student Q&A hours. • A survey of 25 randomly chosen students at a particular college found that the mean number of years the students were out of school before enrolling at the college was 7.6 years, with a sample standard deviation of 1.4 years. Find the 99% confidence interval for the mean number of years the students were out of school before enrolling at the college. . For the scenario above with the mean number of years students were out of school before enrolling in college, find the 99% confidence interval for the mean again, but this time with the assumption that the population standard deviation is 2.3 years. 31 US
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can I please get some help on the "Sample Needed" question and subsequent bullet points please?
Transcribed Image Text:. For each of the following, determine the sample size needed to get the desired accuracy of the sample
statistic in estimating the appropriate population parameter, with the desired level of confidence.
Explain the process you use to find the needed sample size. Do not actually try to calculate the
confidence interval, you don't have enough information.
• You want to estimate the mean weight of a certain species of frog, within a margin of error no more
than .7 grams, with 95% confidence. You have reason to believe the population standard deviation is
1.3 grams. How many frogs do you need?
• You want to estimate the proportion of cherry trees which have a particular genetic mutation, with a
margin of error no more than 2%, with 99% confidence. You do not know anything about the
population proportion. How many trees should you analyze?
Finding Confidence Intervals
For each of the following, calculate the stated confidence interval, explaining all steps in your process.
Then write a statement interpreting the confidence interval in context.
• A survey of 500 randomly chosen students at a particular college found that 117 of them actively
attend student Q&A hours with their professor. Find the 95% confidence interval for the proportion
of students at that college who actively attend student Q&A hours.
• A survey of 25 randomly chosen students at a particular college found that the mean number of
years the students were out of school before enrolling at the college was 7.6 years, with a sample
standard deviation of 1.4 years. Find the 99% confidence interval for the mean number of years the
students were out of school before enrolling at the college.
. For the scenario above with the mean number of years students were out of school before enrolling
in college, find the 99% confidence interval for the mean again, but this time with the assumption
that the population standard deviation is 2.3 years.
M
1
▶
US
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