SOLUTION: 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 ๐œ‡ = 7.5. A new drug for

Algebra ->  Probability-and-statistics -> SOLUTION: 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 ๐œ‡ = 7.5. A new drug for      Log On


   

Question 1179004: 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 ๐œ‡ =
7.5. A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with
arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 2.9. Use a 5% level of significance to test the
claim that the drug has changed (either way) the mean pH level of the blood.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
population: ยต = 7.5    Sample(n=41): xฬ„ = 8.6  s = 2.9
Ho:  ยต = 7.5
Ha:  ยต โ‰  7.5
Confidence Interval .05:  two-tailed t-test: t(df40) = |t-value|> 2.02 Reject Ho

t-value = blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29 = โˆš41(1.1)/2.9 = 2.43
 2.43 > 2.02
Reject Ho, Evidence shows drug has changed the mean pH level of the blood.

Wish You the Best in your Studies.