1. Let x be a random variable that represents the pH of arterial plasma (i.e., a
ID: 3371524 • Letter: 1
Question
1. Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.7 with sample standard deviation s = 3.0. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood.
(a) What is the level of significance?
(b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
2. Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows.
(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)
(ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05.
(a) What is the level of significance?
(b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
4.9 4.2 4.5 4.1 4.4 4.3Explanation / Answer
Soluion1:
(a) What is the level of significance?
alpha=0.05
(b) What is the value of the sample test statistic?
t=sample mean-population mean/samplesd/sqrt(n)
=8.7-7.4/3/sqrt(36)
t=2.6
test statistic:2.6
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