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First use 2-month and then 3-month moving average method to forecast sales price. Using MAD approach, which average is better?
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 seconds or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 seconds or less.
Mean (µ ) of 250 screws and a standard deviation (? ) of 8.30. Find the probability that production will go below 238 screws.
What is the proberbility that the condo will incur major damage during Mr. Cane's 25-yr mortgage on the condo? If a reliability of 0.95 is desired, what is the condo's design life?
A brake assembly has been tested and found to have a capacity that is normally distributed with a a mean of 275 lb and a stadard deviation of 25lb. If a normally distributed force having a mean of 1
A survey was done and found that the best chocolate is dark chocolate. 29% of clients prefer dark chocolate. Stild Bakery conducted a sample of 100 clients who asked for chocolate.
Find a closed form for the moment generating function of a discrete uniform random variable, that is, for the random variable X with pmf p(x) = 1/n for x = 1,2,3,....,n.(hint: use lemma 2.6.1.)
Jasmine International has 100 prospective original bracelets. About 20% of all bracelets come to order for retailing. Suppose that the binomial assumptions are fulfilled and use a normal approximati
What is the value for x2left for a 95% confidence interval when n = 18?
A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidenc
A random sample of 100 voters found that 44% were going to vote for a certain candidate. Find the 99% limit for the population proportion of voters who will vote for that candidate.
These are a lot of airplanes that are coming in at a speed of six per minute during flights.
A) find the probability that at least 3 earthquakes occur during the next 2 weeks. B) find the probability distribution of the time, until the next earthquake.
Deyoung International Academy has students with the following grades: 10% had an A; 75% had a B; 10% had a C; and 5% had D's. In using these grades, answer these questions about a sample
In a study using 15 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 105 peaches per tree. A scientist wishes to find the 90% confidence inte
A previous analysis of paper boxes showed that the the standard deviation of their lengths is 13 millimeters. A packer wishes to find the 95% confidence interval for the average length of a box. How
If a population has a standard deviation of 18, what is the minimum number of samples that need to be averaged in order to be 95% confident that the average of the means is within 2 of the true mean
The moment generating function for a random variable X is given by Mx(t) = (1/4)+ (3/4)*(1/(1-t)), t>1. Determine formulas for the density function and distribution function. Sketch graphs for fx
What would be the 95th percentile IQ scores? What is the probability that a mean IQ score for a random sample of 40 people will exceed 104.0?
Find the probability that a randomly selected adult had an IQ greater than 120.0 (the requirement for membership in the Mensa organization). Round to the nearest thousandth.
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult had an IQ greater than 131.5 (t
Prove that the space P of all polynomials is an infinite-dimensional vector space. [Hint: mathematical induction may be useful here.]
Let T be a linear transformation that maps Rn onto Rn. Show that T-1 exists and maps Rn onto Rn. Is T-1 also one-to-one? If so, prove it. If not, prove that instead.