19. Individual weights of direct mail advertisement sent by El Segundo Company a

Question

19. Individual weights of direct mail advertisement sent by El Segundo Company are normally distributed with unknown population standard deviation. Currently, management believes that the population the population mean weight is exactly equal to 2 ounces (no more, no less). In order to test this hypothesis, a random sample of 9 direct mail advertisements were weighted to obtain a sample mean weight of 2.4 ounces and a sample standard deviation of 0.6 ounce. Use a level of significance of 0.20 to test the null hypothesis that the population mean weight is exactly 2 ounces against the alternative hypothesis that is not. Based on these information, the criticaltis A. +0.667 B. +1.886 C. +2.00 D. Not enough information is given to answer this question E. None of the above 20. In Hypothesis testing, BETA is: A. The probability of making type 1 error B. The probability of making type II error C. The same as alpha D. Type ll error

Explanation / Answer

Question 19

Sample mean weight x = 2.4 ounces

sample standard deviation s = 0.6 ounce

standard error of sample mean = s/ sqrt(n) = 0.6/ sqrt(9) = 0.2

t = (2.4 - 2)/ 0.2 = 2 [ option C is correct]

Q.20 In hypothesis testing, BETA is the probability of making Type II error. Option B is correct.

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