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A random sample of n = 64 observations is drawn from the population with mean equal to 20 and standard deviation equal to 16. a. Give mean and standard deviation of (repeated) sampling distribution of x. b. Explain the shape of sampling distribution of x. Does the answer depend on sample size? C. Compute standard normal z-score corresponding to value of x = 16. d. Compute standard normal z-score corresponding to value of x = 23. e. Determine P(x < 16). F. Determine P(x > 23). G. Determine P(16 < x < 23).
Create a 99% confidence interval for mean overall duration of symptoms in population of individuals who used zinc lozenges.
Find the critical value for t and determine the null and alternate hypothesis.
Average of this group is 229. Population standard deviation for both groups is 6. At α = 0.01, is there difference in cholesterol levels between two groups?
Assume that the height of adult caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected find the probability that they have a mean height greater that 63.0 inches.
If the average daily intake among 25-34-year-old males in the general population is 15 g, then, using a significance level of .05, test the hypothesis that the intake of linoleic acid in this group is lower than that of the general population. Als..
Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer.
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in language that she can understand.
Adele Weiss manages the campus flower shop. Flowers must be ordered three days in advance from her supplier in Mexico. Advance sales are so small that Weiss has no way to estimate the demand for the red roses.
Determine the expected frequencies for each of the cells in the following contingency tables. For each problem, state how many of the expected values actually had to be computed and how many could be found by subtraction.
Draw the pmf of the Poisson distribution that results when the parameter α is equal to the following:
A simple random sample of 50 adults is obtained, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.23 and the sample standard deviation is 0.54. Use a 0.01 significance level to test the claim that ..
A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 195 was taken, and the mean amount spent was $210.97.
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