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.A special diet is intended to reduce cholesterol in people with high blood pressure. If the...

.A special diet is intended to reduce cholesterol in people with high blood pressure. If the diet is effective, the target is to have the average cholesterol level of this group be below 150. After six months on the diet, a sample of 28 patients with high blood pressure had an average cholesterol level of x ̄ = 144 and a standard deviation of s = 21. Assume the distribution of the cholesterol for patients in this group is approximately Normal with unknown mean μ and standard deviation σ. Is there sufficient evidence at the 5% significance level that the diet is effective in meeting the target?
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