Question

A
simple random sample of 55 adults’ measurements of their red blood
cell count (in cells per microliter) is obtained. For the sample
the mean is 5.28 and its standard deviation is 0.55. (i) Use a .01
significance level to test the claim that the sample is from a
population with mean less than 5.37. (ii) Use a confidence interval
to test the same claim.

Answer #1

(i)

n = 55

= 5.28

s = 0.55

SE = s/

= 0.55/

= 0.0742

= 0.01

ndf = n - 1 = 55 - 1 = 54

From Table, critical values of t = 2.6700

Confidence Interval:

5.28 (2.6700 X 0.0742)

= 5.28 0.1980

= ( 5.0820 ,5.4780)

Confidence Interval:

**5.0820 <
< 5.4780**

(ii)

**Since not all the values of the Confidence Interval
5.0820 <
< 5.4780 are less than 5.37, we conclude that the
sample is not from a population with mean less than
5.37.**

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Use the following information for the next 7 questions:
A simple random sample of 50 adults is obtained and each
person's red blood cell count (in cells per microfilter) is
obtained. The sample mean in 4.63. The population standard
deviation for all blood cell counts is assumed to be 0.54. Test at
the .05 level whether the population mean blood count is less than
5.
Question 8: The data summary here is n=50 and x=
4.63
A. s= 0.54
B....

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microliter) for a population of adult males can be approximated by
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