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If n independent random variales, Xi, have normal distributions with means mu(i) and standard deviations, sigma(i), find the moment generating function of their sum and identify the corresponding distribution, its mean and its variance.
The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
Neither subjects nor researcher knew who was assigned to what. Determine three terms explain the experimental design?
Find a 95% confidence interval for the mean amount spent by patients at the pharmacy. Show your calculations and/or explain the process used to obtain the interval.
What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500, has three children living, has assets of $156,000.
A sample of size 9 is drawn at random from a Normal distribution. The experiment has a null hypothesis of μ = 0 and an alternate hypothesis of μ > 0. The mean of the sample is 7 with an s of 8. Is there a difference at the 1% level?
The mean life of your sample were more than 780 hours. What is the probability that you will not buy again from this manufacturer?
Design a calculator simulation to estimate the probability described in (a). Describe your simulation method clearly enough so that a classmate could carry it out without further explanation from you.
You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenien..
Historically, 70% of your customers at Rodale Emporium pay for their purchases using credit cars. In a sample of 20 customers, find the probability that
You are asked to conduct a study to determine if gender has any bearing on the choice of a dog or cat as a pet. You take a random sample of 350 adults and ask each what kind of pet they would prefer, a dog or a cat?
About 68% of the students at fairview community college favor a new policy regarding parking on campus. suppose that we are interested in the proportion of 45 students in a math class who favor the policy.
Develop a linear regression model for these data and forecast carpet sales if 30 construction permits for new homes are filed.
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