@2WS↑# 3e1. How much homework?The principal at a large high school claims that students spend at least 10 hours per weekdoing homework on average. To investigate this claim, an AP Statistics class selected arandom sample of 250 students from their school and asked them how many long theyspent doing homework during the last week. The sample mean was 10.2 hours, and thesample standard deviation was 4.2 hours.Problem:d(a) Construct and interpret a 95% confidence interval for the mean time spent doinghomework in the last week for students at this school.Conditions:Mechanics:Conclusion:54$rf%5tgA6DELLy&7hOu*00810j(9k✓O01P

Sample mean, x¯=10.2 Sample size, n=250 Sample standard deviation, s=4.2 CL=0.95

Answered: 1. How much homework? The principal at…

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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Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 40 evaluations and records the summary statistics shown. Sample size Sample mean Sample standard deviation Population standard deviation Standard error Confidence level ? ?⎯⎯⎯ ? ? ??⎯⎯⎯⎯ ? 40 3.8303 1.0112 1.0750 0.1700 95% The department chair determines the standard error using ?, the standard deviation calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same standard deviation. Use this information to find the margin of error and the lower and upper bounds of a 95% confidence interval for ?, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth.
In a survey, 32 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $41 and standard deviation of $12. Construct a confidence interval at a 95% confidence level.Give your answers to one decimal place.
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in a survey, 27 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $30 and sample standard deviation of $20. construct a confidence interval at a 95% confidence level.
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The Statistics Games are played by a large number of teams across the county. Teams raise money to cover expenses incurred by participating. You want to estimate the mean amount of money raised by teams. You take a random sample of 36 teams and find a mean of $375, with a standard deviation of $32. What critical value should you use for a 95% confidence interval?
Suppose a study was conducted of community colleges in California to determine the average cost of tuition for in-state students. The study consisted of 45 community colleges from California. Based on the sample data, the average tuition was $1,440 and the standard deviation was $267. Use this information to construct and interpret a 92% confidence interval for the true average tuition of all California community colleges. Make sure to check any relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible). Make sure to type your confidence interval in an interval format with each bound rounded to 3 decimal places [i.e. (12.345, 45.678)]
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