n = 40x=471222075x = 47.627R= MAX49.850Find the 95% confidence intervalFORthe populationwiththe9mean alonglationusingmeanpopotheas 10% higherRenem ben0.05 hypothesis testthAN, your sample 93use the t-tableclaimtoFORCriticAL VAlue sincethe population standard deviationisUNKNOWN.- MIN43.041

Solution: From the given information,

Answered: X= 47.627 n = 40 x=471222075 Find the…

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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In the course of designing theater seats, the sitting heights (in mm) of a simple random sample of 12 adult women is obtained. The sample mean is 834 mm and sample standard deviation is 34.98 mm. a. Assuming that sample is obtained from a population with a normal distribution, construct a 95% confidence interval estimate for ?, the population standard deviation of sitting height of adult women. b. Does the confidence interval contain 35 mm, which is believed to be the standard deviation of sitting heights of women?
Suppose the (sample) average height of women is ̄y = 65.6 inches, the average height of men is ̄y =68.6 inches. For both the sample standard deviation is about s = 3 inches.(a) Suppose you take a sample of 5 women and 4 men. Construct a 95% CI for both. Do theconfidence intervals overlap?(b) Now repeat using a sample of 205 men and 220 women. Do the confidence intervalsoverlap?(c) Can you explain what happened? Why is sample size important if you're trying to finddifferences between groups?
Q4.2) Construct a 95% confidence interval for the true average monthly salaryearned by all employees of People Plus Pty, if it was found that the averagemonthly salary earned by a sample of 19 employees of the company wasR18 500, with a standard deviation of R1 750 What can we do to make the confidence interval narrower in Q.4.2, withoutchanging the confidence level?
The bottlers of a new fruit juice daily select a random sample of 12 bottles of the drink to estimate the mean quantity of juice in the bottles filled that day. On one such day, a sample was taken with a sample mean of 12.03 and a sample standard deviation of 0.12. Based on this information, what is the margin of error associated with a 90% confidence interval estimate for the population mean, if the population standard deviation has historically been 0.07? 0.020 0.070 0.040 0.033
The weights in grams of oranges grown in a certain area are normally distributed with mean µ and standard deviation σ. A random sample of 50 of these oranges was taken, and a 97% confidence interval for µ based on this sample was (222.1, 232.1): (a) Find sample mean, ¯x.(b) Find margin of error, E.
An SRS of 350350 high school seniors gained an average of ¯x=20.77x¯=20.77 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation σ=47.28.σ=47.28. We want to estimate the mean change in score μμ in the population of all high school seniors. (a) Using the 6868 – 9595 – 99.799.7 Rule or the z-z-table (Table A), give a 99.7%99.7% confidence interval (a,b)(a,b) for μμ based on this sample
1) Construct a 95% confidence interval estimate for the population mean given thats =30 ,__x = 45and n = 20.2) A random sample of 81 workers at a company showed that they work an average of100 hours per month with a standard deviation of 27 hours. At 95% confidence, howmany more workers need to be included in the sample to provide a confidence intervalwith length 4 (i.e., the margin of error being 2)?
A random sample of size 30 from a normal population yields = 39 and s = 4.9. The lower bound of a 95 percent confidence interval is (Round off upto 2 decimal places).
Suppose the (sample) average height of women in the U.S. is ̄y = 161.8cm, and the average height of men in the U.S. is ̄y = 175.4cm. For both the sample standard deviation is about s = 7.62cm. a) Suppose you take a sample of 5 women and 4 men. Construct a 95% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 220 women and 205 men. Do the confidence intervals overlap? (c) Can you explain what happened? Why is sample size important if you're trying to find differences between groups?
Q4 In a random sample of 400 students and 600 graduates who studies a given pre-requisite course upon entry into university, 100 students and 300 graduates indicated that they found it helpful. Construct a 99% confidence interval for the difference in proportions of all students and all graduates who took a given pre-requisite course and found it helpful.b) The standard deviation of the running time of a sample of 200 fuses was found to be 100 hours. Find a 99% confidence interval for the standard deviation of all such fuses.c) Two samples, sample one of size 16 and sample two of size 10, respectively, are drawn at random from two populations that are normally distributed. If their variances are found to be 24 and 18, respectively, find:i. 98% confidence interval for the ratio of the variances.ii. 90% confidence interval for the ratio of the variances.

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