The mean and the standard deviation of the sample of 100 bank customer waiting times are x¯ = 5.36 and s = 2.455. (1) Calculate a t-based 95 percent confidence interval for µ, the mean of all possible bank customer waiting times using the new system. (2) Are we 95 percent confident that µ is less than 6 minutes?.
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(1) Calculate a t-based 95 percent confidence interval for µ, the mean of all possible bank customer waiting times using the new system.
(2) Are we 95 percent confident that µ is less than 6 minutes?.
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- The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u and standard deviationo = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 15 cigarettes of this brand. The sample yields an average of 1.55 mg of nicotine. Conduct a test using a significance level of a = 0.05. (a) The test statistic (b) The critical value, z= (c) The final conclusion is O A. There is evidence that the mean nicotine content is higher than advertised. O B. There is not sufficient evidence to show that the mean nocitine content is higher than advertised.A sample of 8 adult elephants had an average weight of x = 12300 pounds. The sample standard deviation was s = 22 pounds. Construct a 99% confidence interval for the true population mean of the weights of adult elephants.A researcher collected sample data for 10middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 192.5, with a standard deviation of 9. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower Limit___ Upper Limit___
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