#1 The mean cholesterol level of a random sample of 100 adults aged 45 – 54 was 216 milligrams with a standard deviation of 19.5 milligrams. Construct a 98% confidence interval for p, the true mean cholesterol level of adults aged 45 54.
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#2 When Mendel conducted his famous genetics experiments with peas, he found that in sample of 600 peas, 168 were yellow peas. Find a 99% confidence interval for p, the true proportion of yellow peas in the sample.
#3 A special fat reducing diet is tested on 16 women. The results of the test indicated that the mean weight loss was 12 pounds. If the standard deviation was 1.8 pounds, construct a 90% confidence interval for p, the true mean weight Poss.