QUESTION 4(a) A manufacturing company claims that its workers have a mean productivity rate, per month, of atleast 40,000 per unit. The firm's human resources department randomly selected worker productivity datafor 50 months and claimed that the mean productivity figure to be 39200 per unit. The workersproductivity follows a normal distribution with a standard deviation of 14800 units.State the null and alternative hypotheses for this test.i.ii.iii.(b)(c)Find the p-value for the test of hypothesis.Will the null hypothesis be rejected at a 5% significance level?Using the statistics given above, construct a 95% confidence interval for the mean monthlyproduction figure for the company.The increase in salary demanded by a particular group of workers is normally distributed with amean of $ 81,000 and a variance of $790,000. If 30 workers were selected, what is the probabilitythat the mean salary increase request is at most $80,200.

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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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A random sample of 46 adult coyotes from Northern Minnesota showed the average age to be sample mean of 2.05 years. The population standard deviation is known to be o = 1.13 years. However, it is thought that the average age of coyotes is u = 1.75 years. Test to see if the coyotes in Northern Minnesota live longer than the national average of 1.75 years. Use 0.03 level of significance. What are the hypotheses? A: Ho µ= 1.75 years vs HA µ> 1.75 years B: Ho µ= 1.75 years vs HA H 2.05 years D: Ho µ = 2.05 years vs HA u< 2.05 years O A D O O
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