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2. (50pts) Now, you must determine if a new cholesterol drug is effective. You k

ID: 3073858 • Letter: 2

Question

2. (50pts) Now, you must determine if a new cholesterol drug is effective. You know that the drug lowers blood pressure (hint: pick correct alternate hypothesis) but are not sure if the difference is significant. With 95% confidence, is there a statistically significant difference in blood pressure (mmHg) before and after administration of the drug?

Patient #

BP before drug (mm Hg)

BP after drug (mm HG)

1

154

123

2

162

143

3

178

132

4

184

165

5

160

143

6

192

165

Patient #

BP before drug (mm Hg)

BP after drug (mm HG)

1

154

123

2

162

143

3

178

132

4

184

165

5

160

143

6

192

165

Explanation / Answer

x1bar - x2bar = 26.50

s(dbar) = 10.9864

SE = s(dbar)/sqrt(n) = 4.4852

CI = 95%

DF = 5

t-value = 2.5706

ME = t*SE = 2.5706*4.4852 = 11.5295

Confidence Interval (x1bar - x2bar) +/- ME

Lower bound = 14.97053

Upper bound = 38.02947

Confidence Interval (14.9705 , 38.0295 )

As 0 does not lie in the above calculated, we reject the null hypothesis

there is a statistically significant difference in blood pressure (mmHg) before and after administration of the drug

Before after dbar 154 123 31 162 143 19 178 132 46 184 165 19 160 143 17 192 165 27
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