Confidence interval for the mean
Assume that the paired data came from a population that is normally distributed. Construct a 95% confidence interval for the mean of all differences x-y.
x(sub i): 9, 8, 16, 3, 9, 17, 10, 5
y(sub i): 5, 8, 14, 8, 8, 13, 12, 9
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The width of a confidence interval is defined to be the upper bound of the confidence interval minus the lower bound of the confidence interval. For example, if a confidence interval is (-2.34,9.87), then the width of this confidence interval is 9
Assume the readings on thermometers are normally distributed with a mean of 0 degree C and a standard deviation of 1.00 degree C. Find the probability -1.18 and 0.11
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Use a significance level of a=0.05 to test the claim that p1=p2. Use the given sample sizes and numbers of successes to find (a) the pooled estimate p, (b) the z statistic, (c) the critical z-values, and (d) the P-Value.
Although airline schedules and cost are important factors for business travelers when choosing an airline carrier, a USA Today survey found that business travelers list an airlines frequent flyer program as the most important factor.
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Suppose this estimate is based on a sample of 80 persons and that the sample standard deviation is $550. What is the 95% confidence interval for the population mean amount spent on restaurants and carryout food?
A simple random sample of 50 items from a population with =6 resulted in a sample mean of 32. Provide a 90% confidence interval for the population mean.
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