Let X1,.X, be a random sample from a uniform (0,0) distribution and let Y = max(X1,..., the coverage probability of the interval estimator [aY, bY] with 1 < a < b. Xn). We are interested in an interval estimator for 0. Find

The amounts of sugar in a serving of children's breakfast cereals is normally distributed with a mean of 8.4 grams and a standard deviation of 2.1 grams.   For a sample of 15 children's breakfast cereals, what is the probability that  the sample mean amount of sugar in a serving for the 15 cereals will be at least than 10 grams?   Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ___________   Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<10 grams) =  ___________

The National Health and Nutrition Examination Survey reported in the recent year, the mean cholesterol level for U.S. adults was 202 with standard deviation of 41 (unit: mg/dl) A simple random sample of 110 adults are chosen. Let x¯ be the sample mean cholesterol with       a) The probability that the sample mean cholesterol level of the sample of 110 is greater than 210 is P(x¯>210) =      ["", "", "", ""]    b) What is the probability that the sample mean is between 190 and 200: P(190<x¯<200) =      ["", "", "", ""]

The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes.  Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 13, 10, 13 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be:     H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to  _____ The test statistic  (t,z) = ___ The p-value = _____  Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly more than 12 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 12. The data suggest the population mean is not significantly more than 12…

For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous.  (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfish