The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approxi
ID: 3150911 • Letter: T
Question
The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 19 laboratory blood tests during the past year. Her average HC is 12.7 with s = 1.56. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) H0 : Ha : (b) Find the test statistic, t = (c) Answer the question: Is there evidence that her average HC is not 14? (Use a 1% level of significance) (Type: Yes or No)
Explanation / Answer
Let X be the hemoglobin count (HC) in grams per 100 milliliters of whole blood in adult women.
X is normal with mean = 14
Sample average x bar = 12.7
s =1.56
a) H0: mu = 14
Ha: mu not equal to 14
Two tailed test
b) Mean difference = 12.7 -14 = -1.3
Std dev = 1.56
Hence test statistic = -1.3/1.56 = -0.8333
p value = 0.404845.
The result is not significant at p < 0.01 (alpha).
There is no evidence that her average is not 14.
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