Salt-free diets are often prescribed to people with high blood pressure. The fol

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. Assume diastolic readings to be normally distributed. (a) Is there evidence that diastolic blood pressure is reduced by having salt-free diets? Use alpha = 0.05. (b) Construct the 95% confidence interval for the difference in the mean blood pressures.

Explanation / Answer

(A)

Below are the null and alternate hypothesis

As p-value is greater than significance level of 0.05, we fail to reject the null hypothesis. This means there is not sufficient evidence to conclude that there blood pressure is reduced

(B)

Confidence interval at 95%

t-value = 2.3646

Confidence Interval = (1 - 2.3646*0.8452, 1 + 2.3646*0.8452) = (-0.9986, 2.9986)

Null Hypothesis Alternate Hypothesis H0: 1 - 2 >= 0 Ha: 1 - 2 < 0

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