Use hypothesis tests seven step method to answer the following. A simple random
ID: 3379274 • Letter: U
Question
Use hypothesis tests seven step method to answer the following.
A simple random sample of 50 adults is obtained, and each person's red blood cell count (in cells per micro liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell count is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?
Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u >= 5.4
Ha: u < 5.4
As we can see, this is a left tailed test.
Thus, getting the critical z, as alpha = 0.01 ,
alpha = 0.01
zcrit = - 2.326347874
Getting the test statistic, as
X = sample mean = 5.23
uo = hypothesized mean = 5.4
n = sample size = 50
s = standard deviation = 0.54
Thus, z = (X - uo) * sqrt(n) / s = -2.226076904
Also, the p value is
p = 0.013004515
Comparing z > -2.326 (or, p > 0.01), we FAIL TO REJECT THE NULL HYPOTHESIS.
Thus, there is no significant evidence that the sample is from a population with a mean less than 5.4. [CONCLUSION]
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