Now suppose we take a random sample of 20 CU Boulder students and find that the sample mean foramount of time spend each week engaged in coursework is x = 31.4 hours. Let's further assume thepopulation standard deviation is still o = 2.8 hours.5. Construct a 90% confidence interval for the true mean time that CU Boulder students spend eachweek engaged in coursework. In addition to the interval estimate, your solution should include thevalues for za/2'the standard errorO and the margin of error ( Za,6. Based on your confidence interval above, is it reasonable to say CU Boulder students spend moretime engaged in coursework each week compared to CU Denver students? EXPLAIN.7. Use the t-table and/or Excel to complete the table below.Confidence LeveldfZa/2ta/22900.1035952898619919

Please find the explanation below.

Answered: Now suppose we take a random sample of…

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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an IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. find the sample size necessary to estimate the mean IQ score of statistic students such that it can be said with 99% confidence that the sample mean is within 3 IQ points of the true mean. Assume that the standard deviation is 12 and determine the required sample size using technology. then determine if this is a reasonable sample size for a real world calculation
A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 11 IQ scores from group 1 showed a mean of 120 and a standard deviation of 16, while an independently chosen random sample of 10 IQ scores from group 2 showed a mean of 113 and a standard deviation of 14. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 90% confidence interval for the difference u,-, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 02021 McGraw H Education. All Rights Reserved Terms of UseI PivcyI Accessibty MacBook Air ese 888 %23 2$ & 3 8 Q E…
Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
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The distribution of scores on a standardized test is approximately Normal with standard deviation of σσ = 22. If a sample of 150 students had a mean score of x¯x¯ = 74.3, use this to find a 99% confidence interval for the mean score of all students on this test. We are 99% confident that the the mean score of students on this test was in the interval What is the margin of error for your confidence interval? Margin of error =
A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 15 IQ scores from group 1 showed a mean of 117 and a standard deviation of 17 , while an independently chosen random sample of 9 IQ scores from group 2 showed a mean of 112 and a standard deviation of 15 . Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 90% confidence intervalfor the difference −μ1μ2 between the mean μ1 of IQ scores of group 1 and the mean μ2 of IQ scores of group 2 . Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.)
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