In a random sample of 60 workers the average time taken bythem to get to work is 33.8 minutes with a standard deviationof 6.1 minutes, can we reject the null hypothesis μ = 32.6minutes in favour of alternative hypothesis μ > 32.6 at a =0.025 level of significance?a. Z= 1.2573 Ho: acceptedb. Z= 1.1573 Ho: rejectedc. Z= 1.5273 Ho: acceptedd. Z= 1.5273 Ho: rejectede. NONE OF THE ABOVEO E

Given that n =60 , x bar = 33.8 ,s.d = 6.1,mu = 32.6 Alpha =0.025

Answered: In a random sample of 60 workers 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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BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of at least 3000 hours. Suppose that we have reason to doubt this claim and decide to do statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample 2860 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, answer thi questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0 : µ is ____ ? _____ H1: µ is ____ ? ____ In the content of this test, what is a Type I error? A Type I error is ________ the hypothesis that µ is? _______ ?_______ when, in fact, µ is ? _______ Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ______
10.29 Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance, that μ = 35 minutes against the alternative that μ < 35 minutes.
A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) justifiable at an a = 0.10?
2
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