a) A manufacturer has developed a new fishing line, which the companyclaims has mean breaking strength of 15 kilograms with a standarddeviation of 0.5 kilograms. To test the claim, a random sample of 50lines will be tested. The rejection region to be used is defined to bei< 14.9.i) State the mull and alternative hypotheses.ii) Find type I error probability, a.iii) Evaluate 3 for the alternative = 14.8.iv) Evaluate power function for the alternative u = 14.8.b) Suppose that we wish to test the hypothesis Ho : µ = 68 kg versusH1 : µ > 68 kg, for weights of male students at a certain college, usinga = 0.05 level of significance, when it is known that o = 5.i) Find the sample size required if the power of the test is to be 0.95when the true mean is 69 kg.ii) For what values of ī will the null hypothesis be rejected?

Answered: Image /qna-images/answer/e065cbfe-88df-40aa-ad12-83c7e614aebd.jpg

Answered: a) A manufacturer has developed a new…

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 22 fifth graders pupils have a grade point average of 5.0 in math with a standard deviation of 0.463. The GPA of all fifth grade pupils over the last five years is 4.7. Is the GPA of the 22 pupils different from the population's GPA? a. state the null and alternative hypotheses b. set the criteria for a decision with a=.05 c. compute the test statistic using spss d. what is the effect size (you will need to compute Cohen's d from the data given in the spss output table) e. write the results section for your findings. Including the descriptive statistics, type of statistical test and results of the test, effect sizem cohen's d, and the confidence interval. GPA samples 5.0, 5.5, 4.5, 5.0, 6.0, 5.0, 5.0, 5.0, 4.5, 5.0, 5.0, 4.5 4.5, 5.5, 4.0, 5.0, 5.0, 5.5, 4.5, 5.5, 5.0, 5.5
In a sample of 27 blue M&Ms with a mean weight of 0.8560 g. Assume that population standard deviation is 0.0565g. Consider a hypothesis test that use a 0.05 significance level to test the claim that the mean weight of all M&Ms is equal to 0.8535 g. A) Find the null hypothesis and alternative hypothesis in symbolic form. B) Find the test statistics using the formula.
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A manufacturer makes ball bearings that are supposed to have a mean weight of 30g. A retailer suspects that the mean weight is actually less than 30g. The mean weight for a random sample of 16 ball bearings is 28.6g with a standard deviation of 4.4g. At the 0.05 significance level, test the claim that the sample comes from a population with a mean weight less than 30g. a)Identify the null hypothesis, alternative hypothesis. b)Find the test statistics c)Find the p-value d)Conclusion about the null hypothesis e)State the conclusion

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