A random sample of 36 measurements was selected from a population with unknown mean μ andknown standard deviation σ = 18. The sample mean is x = 28.a.Find the margin of error of 99% confidence interval for u.b. Calculate a 98% confidence interval for u.c. Calculate a 90% confidence interval for u.

Recall the following formulas for the confidence interval for the population mean:The confidence…

Answered: A random sample of 36 measurements was…

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...

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A sample is randomly selected from a population with a mean of μ = 50, and a treatment is administered to the individuals in the sample. After treatment, the sample is found to have a mean of M = 56 with a standard deviation of s = 8. Which test is most appropriate to determine if there is a difference between the means? z-score test single-sample t-test independent samples t-test related-samples t-test
A school district claims that the average salary of elementary school teachers in their district is more than the national average of $42,000. A sample of 30 elementary school teachers from that district have a mean salary $43,260. The standard deviation for the population is $5,230. At α = 0.05, test their claim that teachers in their district earn more than $42,000 per year.
Assume that a sample is used to estimate a population mean μμ. Find the 95% confidence interval for a sample of size 63 with a mean of 49.8 and a standard deviation of 5.5. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.
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As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
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