Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 06 Jul 2017 My Price 13.00

prothrombin in the blood

10.    For healthy individuals the level of prothrombin in the blood is approximately normally distributed with mean 20 mg/100 mL and standard   deviation 4 mg/100 mL. Low levels indicate low clotting abil- ity. In studying the effect of gallstones on prothrom- bin, the level of each patient in a sample is measured to see if there is a de ciency. Let m be the true aver- age level of prothrombin for gallstone patients.

a.    What are the appropriate null and alternative hypotheses?

b.    Let X denote the sample average level of pro- thrombin in a sample of n = 20 randomly se- lected gallstone patients. Consider the test proce- dure with test statistic X and rejection  region x 17.92. What is the probability distribution of the test statistic when H0 is true? What is the prob- ability of a type I error for the test procedure?

c.    What is the probability distribution of the test

statistic when m = 16.7? Using the test proce- dure of part (b), what is the probability that gall- stone patients will be judged not de cient in pro- thrombin, when in fact m = 16.7 (a type II error)?

d.    How would you change the test procedure of part

(b) to obtain a test with signi cance level .05? What impact would this change have on the error probability of part (c)?

e.    Consider  the  standardized  test  statistic  Z  = 1X - 202 / 1s/ 1n 2 = 1X - 202 /.8944. What are the values of Z corresponding to the rejection re- gion of part (b)?

Answers

Maurice Tutor
(5)
Status NEW Posted 06 Jul 2017 12:07 PM My Price 13.00

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