Consider the null hypothesis that the average weight of male students in a certain college is 68kilograms against the alternative hypothesis that it is unequal to 68.Ho:=68;Ha: 68.If the rejection region is <66 or > 69; Assume the standard deviation of the population ofweights to be σ = 4.(a) With a random sample of size n = 25, calculate Type I error and Type II error (assuming μ=69 when calculating Type II error).(b) How many samples are needed to achieve a Type II error when μ = 69 is 0.1 and Type I erroris 0.1?

a. The probability of committing a Type I error is:…

Answered: Consider the null hypothesis that 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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A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 1.34−1.34 (Round to two decimal places as needed.)
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