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In a clinic, a random sample of 60 patients is obtained, and each person’s red blood...

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Basic Math

In a clinic, a random sample of 60 patients is obtained, andeach person’s red blood cell
count (in cells per microliter) is measured. The sample mean is5.28. The population
standard deviation for red blood cell counts is 0.54.

(a) At the 0.01 level of signi?cance, test the claim that thesample is from a population

with a mean less than 5.4. [4 marks]
(b) What is the Type 11 error ,6 in the hypothesis testing of Part(a) if the true mean of
the population is 5.17? [7 marks]

(0) The Type 11 error ? in Part (b) is considered to be toolarge and it is decided to
reduce ? to 0.1. With the same sample size, ?nd the new Type Ierror a. [7 marks]

Answer & Explanation Solved by verified expert
4.2 Ratings (598 Votes)
Here number of patients 60sample mean 528population standard deviation 054a Here at 001 level of significancestandard error of sample mean 054sqrtn    See Answer
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