Confidence interval for the mean
Determine a 97% confidence interval for the mean µ of a normal population with unknown variance using the sample: { 300, 200, 400, 500, and 150}.
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Find out a 99% confidence interval for the mean of µ of a normal population with standard deviation 30 using the sample: { 16.1, 19.2, 16.8, 16.2, 22.4, and 11.3}
Determine a 90% confidence interval for the variance (lower case sigma)^2 of a normal population using the sample: {45, 40, 43, 39, 36, 39, and 29}
If X1 and X2 are independent and normal with mean 500 and variance 121, what are the mean and variance of
Let H be a subgroup of group G. Let R = {Hg:g in G} be the collection of all right cosets of H in G and L = {gH: g in G} be the collection of all left cosets of H in G. Define phi: R --> L by phi(Hg) = g^-1H.
In the Melanie's Styling Salon, the time to complete simple haircut is normally distributed with mean of 25 minutes and a standard deviation of 4 minutes. What percent of customers require less than 32 minutes for a simple haircut?
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