A researcher wants to study the effect of a special diet she has designed to decrease systolic blood pressure. She selects seven adults and puts them on this diet for three months. She measures their systolic blood pressure before and after the three months and records the data below. Using a significance level of 0. 05, conduct a hypothesis test to test her claim that the population mean systolic blood pressure is lower after three months. before 210 180 195 220 231 199 224 after 193 186 186 223 220 183 233 a. State the null and alternate hypotheses. b. Calculate the test statistic. c. Calculate the p-value. d. State your conclusion about the difference in the population mean of systolic blood pressure before and after the diet.
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State the null and alternate hypotheses. Null hypothesis: The population mean systolic blood pressure before and after the diet is the same. Alternate hypothesis: The population mean systolic blood pressure after the diet is lower than before. H0: μbefore = Show more…
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This is a 3 part question QUESTION 1 1) A medical research team created a special treatment program to reduce Systolic blood pressure levels of patients. If the treatment program is effective, the average blood pressure level of this patients should be below 120. They are doing a statistical hypothesis testing to check the effectiveness of their treatment program. What would be the null hypothesis of their hypothesis test for mean blood pressure? The population mean blood pressure is denoted by μ. a. µ ≠ 120 b. µ > 120 c. µ = 120 d. µ < 120 QUESTION 2 2) Continuing from above problem. This research group introduced the new treatment program to a random sample of 45 patients who had high blood pressure issues. Then they used a hypothesis test for mean to test the effectiveness of their treatment program. What would they use for the alternate hypothesis? a. µ ≠ 120 b. µ < 120 c. µ > 120 d. µ = 120 QUESTION 3 3) Continuing from above two problems, suppose the research team wanted to test the claim that the average blood pressure level is not 120 after their treatment. What is the alternative hypothesis? a. µ > 120 b. µ ≠ 120 c. µ = 120 d. µ < 120
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