A special diet is intended to reduce systolic blood pressure. If the diet is effective, the target is to have the average systolic blood pressure of this group be below 150. After six months on the diet, an SRS of 28 patients who have been on diet had an average blood pressure of = 143, with standard deviation s = 21. Is this sufficient evidence that the diet is effective in meeting the target? Assume the distribution of the cholesterol for patients in this group is approximately Normal with mean ?.
1.) What is the appropriate hypotheses?
2.) The appropriate degrees of freedom for this test are?
3.) Based on the data, the value of the one-sample t statistic is?
4.) The P-value for the one-sample t test is?
5.) Suppose the mean and standard deviation obtained were based on a sample of 10 patients, rather than 28. The P-value would be?