In a 2020 survey of 80 graduate economists and 110 graduate programmers, it was found that thegraduate economists had a mean starting salary of £48,100 with a standard deviation of £7,200, while thegraduate programmers had a mean starting salary of £52,900 with a standard deviation of £5,300.a) Find a point estimate for the difference in average starting salaries for graduate economists andprogrammers.b) Let mi be the population mean starting salary for the graduate economists and let m2 be thepopulation mean salary for the graduate programmers. Find a 96% confidence interval for mi-m2.Assume the standard deviations given are the population standard deviations.c) Based on the interval in part (b), would you be comfortable saying that the mean starting salary forgraduate economists is less than that for graduate programmers? Justify your answer.|

here given for Graduate Economist n1 = 80 x¯ = 48100 σ1 = 7200 (as mention in part b considered…

Answered: a) Find a point estimate for 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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Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
A researcher wants to know if men have a lower anxiety level than women in response to social rejection. The researcher brings 9 men and 16 women into a lab. He tells them all to write about a time they were socially rejected and he then measures their levels of anxiety using a 0-100 scale. The mean anxiety for men (A) was 81.67 with a standard deviation of 8.78. For women (B), he obtained a mean of 85.69 with a standard deviation of 4.8. A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem) B). What are the hypotheses (Be Specific)
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A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 82and that the standard deviation is 12, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 7.Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?H0: μ is ?less than less than or equal togreater thangreater than or equal to not equal toequal to ? 82 74 12 H1: μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ? 82 74 12 In the context of this test, what is a Type II error?A Type…
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