Salt-free diets are often prescribed to people with high blood pressure. The fol
ID: 3389740 • Letter: S
Question
Salt-free diets are often prescribed to people with high blood pressure. The following data values were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as a result of consuming a salt-free diet for 2 weeks. Calculate the difference as pretest minus posttest and conduct the test at the a = .05 level and show all 5 steps. SD = 2.39 DO NOT USE P-VALUE METHOD
Pre-Diet
Post-Diet
D = Pre – Post
93
92
106
102
87
89
92
92
102
101
95
96
88
88
110
105
Pre-Diet
Post-Diet
D = Pre – Post
93
92
106
102
87
89
92
92
102
101
95
96
88
88
110
105
Explanation / Answer
Let ud = u2 - u1.
where
u2 = pre diet mean
u1 = post diet mean
Formulating the null and alternative hypotheses,
Ho: ud <= 0
Ha: ud > 0
At level of significance = 0.05
As we can see, this is a right tailed test.
Calculating the standard deviation of the differences (third column):
s = 1.969463856
Thus, the standard error of the difference is sD = s/sqrt(n):
sD = 0.696310624
Calculating the mean of the differences (third column):
XD = 1
As t = [XD - uD]/sD, where uD = the hypothesized difference = 0 , then
t = 1.436140662
As df = n - 1 = 7
Then the critical value of t is
tcrit = + 2.364624252
As t < 2.365, WE FAIL TO REJECT THE NULL HYPOTHESIS.
Thus, there is no significant evidence that there is a reduction in diastolic blood pressure as a result of consuming a salt-free diet for 2 weeks. [CONCLUSION]
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