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A researcher wishes to determine whether people with high bloodpressure can redu

ID: 2914793 • Letter: A

Question

A researcher wishes to determine whether people with high bloodpressure can reduce their blood pressure by the following aparticular diet. Use the sample data below to construct 90%confidence interval for m1-m2 where m1 and m2 represent the meanfor the treatment group and the control group respectively. Assumeequal population standard deviations and interpret theinterval.

Treatmentgroup            Control group

n1=40                            n2=80

x1=189.1                        x2=203.7

s1=38.7                           s2=39.2

Would you say the following?

(-26.76,-2.44) since all of the values in the interval arenegative , we conclude that the mean blood pressure for those onthe diet is less than for those not on the diet.

Which one is the correct on

(26.34, -2.86)

(-26.98, -2.22)

(-26.76, -2.44)

How did you figure the steps out if you do mind showing me?

Thank you

Explanation / Answer

Two-Sample T-Test andCI

Sample  N   Mean StDev SE Mean
1       40 189.1  38.7      6.1
2       80 203.7  39.2      4.4


Difference = mu (1) - mu (2)
Estimate for difference: -14.6000
90% CI for difference: (-27.1271,-2.0729)
T-Test of difference = 0 (vs not =): T-Value = -1.94 P-Value= 0.056 DF = 79

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