A researcher wanted to find the effect of a special diet on systolic blood pressure. She selected seven adults and put them on this dietary plan for three months. The following table gives the blood pressures of these persons before and after they attend this plan.
Before 210 180 195 220 231 199 224
After 193 186 186 223 220 183 233
a) Construct a 90% confidence interval for the mean reduction in the systolic blood pressure due to this dietary plan for the population of all adults. Assume that the population of paired differences has a normal distribution,
b) Using the 1% significance level, can you conclude that as a result of this diet the systolic blood pressure has decreased. Assume that the population of paired differences has a normal distribution
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