Question

Assume that the assumptions and conditions for inference with a two-sample t-test are met. Test the indicated claim about the means of the two populations. State your conclusion.A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to test the claim that the treatment population mean  μ₁   is smaller than the control population mean μ₂. Test the claim using a significance level of 0.01.

Treatment Group     Control Group    
n₁ = 85 n₂ = 75
xbar₁= 189.1       xbar₂ = 203.7
s₁ = 38.7 s₂ = 39.2

H₀: μ₁ = μ₂. H_a: μ₁ < μ₂.
Test statistic t = -2.365. P-value(one-sided) = 0.0096

a. Reject H_{0 and conclude that the mean blood pressure level is higher for those who follow the diet than for the control group.}

_{b. Accept} H_{0; there is no significant difference between the mean blood pressure levels for those who followed the diet and the control group.}

c. Fail to reject H_{0; we conclude that the mean blood pressure level is lower for those who follow the diet than for the control group.}

_{d. Reject} H_{0 and conclude that the mean blood pressure level is lower for those who follow the diet than for the control group.}

Answer 1

From the given information,

As P-value is very low,

We have to Reject Null hypothesis and hence claim is true.

i.e.,

d. Reject H0 and conclude that the mean blood pressure level is lower for those who follow the diet than for the control group.

Option d. is correct.

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