A special diet is intended to reduce the cholesterol of patients at risk of heart disease. If the diet is effective, the target is to have the average cholesterol of this group be below 200. After six months on the diet, an SRS of 51 patients at risk for heart disease had an average cholesterol (of sample)= 192, 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 (µ).
State the null and alternative hypotheses, what are the degrees of freedom, find the one sample t-statistic, estimate the P-value and state your conclusion, and find the 95% confidence interval for the average cholesterol of patients at risk for heart disease who have been on the diet for 6 months.

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Null hypothesis H 0 200 Alterative hypothesis H 1 200 Level of ... View the full answer