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n order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the standard deviation was 4.6 days. How large a sample must be selected if the company wants to be 85% confident that the true mean differs from the sample mean by no more than 1 day?
With a major expansion planned, Judy projects sales next year to increase to 1,200 radials. What will the demand be each season? Please show work (formulas).
During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left.
Derive the formula for the expected value Y, derive the formula for the moment generating function of Y
Given that Z is a standard normal random variable. What is the value of Z if the area to the left of Z is 0.9382?
What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 5 of µ? Use the value 20 for the population standard deviation of scores on this subsection.
If we know that the length of time it takes a college student to find out a parking spot in library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute
A person reads a research study of the effectiveness of perineal exercises in preventing urinary incontinence and notes that the number of subjects in each group is 120.
It has been claimed that women live longer than men; however, men tend to be older than their wives. Ages of sixteen husbands and wives from England were obtained. The null hypothesis of equality of means is rejected. What conclusion can be made f..
A new car is designed to run a mean of at least 50 000 kilometers before its first tune-up. Tests with 30 cars show a sample mean of 49 500 kilometers and a sample standard deviation of 1000 kilometers.
Considering all of the day to day activities you are engaged in at work and in your personal lives, write a 200 (or more) word paper that describes at least three (3) different statistical usages that you see regularly.
A manufacturer of microwaves gathers information on microwave sales from a random sample of 50 stores in a large retail chain. In the sample, the mean number of microwaves sold per store last week was 19, with standard deviation 2.
After calculating the sample size needed to estimate a population proportion to within 0.04, your statistics professor told you the maximum allowable error must be reduced to just .01. If the original calculation led to a sample size of 800, the s..
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