• Q : Average method to forecast sales price....
    Basic Statistics :

    First use 2-month and then 3-month moving average method to forecast sales price. Using MAD approach, which average is better?

  • Q : Limit for the population....
    Basic Statistics :

    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.

  • Q : Screws and a standard deviation....
    Basic Statistics :

    Mean (µ ) of 250 screws and a standard deviation (? ) of 8.30. Find the probability that production will go below 238 screws.

  • Q : Mortgage on the condo....
    Basic Statistics :

    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?

  • Q : Normally distributed with a a mean....
    Basic Statistics :

    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

  • Q : Population mean of people....
    Basic Statistics :

    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.

  • Q : Moment generating function of discrete uniform....
    Basic Statistics :

    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.)

  • Q : Use a normal approximation....
    Basic Statistics :

    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

  • Q : What is the value....
    Basic Statistics :

    What is the value for x2left for a 95% confidence interval when n = 18?

  • Q : Estimate the true proportion of home....
    Basic Statistics :

    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

  • Q : Closed form for the moment generating function....
    Basic Statistics :

    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.)

  • Q : Limit for the population proportion of voters....
    Basic Statistics :

    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.

  • Q : Lot of airplanes....
    Basic Statistics :

    These are a lot of airplanes that are coming in at a speed of six per minute during flights.

  • Q : Probability distribution of the time....
    Basic Statistics :

    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.

  • Q : Deyoung international academy....
    Basic Statistics :

    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

  • Q : Calculate confidence intervals....
    Basic Statistics :

    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

  • Q : Average number of peaches per tree....
    Basic Statistics :

    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

  • Q : Confidence interval for the average length of a box....
    Basic Statistics :

    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

  • Q : Average of the means....
    Basic Statistics :

    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

  • Q : Generating function for a random variable....
    Basic Statistics :

    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

  • Q : Mean iq score for a random sample....
    Basic Statistics :

    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?

  • Q : Probability that a randomly selected adult....
    Basic Statistics :

    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.

  • Q : Normally distributed with a mean....
    Basic Statistics :

    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

  • Q : Infinite-dimensional vector space....
    Basic Statistics :

    Prove that the space P of all polynomials is an infinite-dimensional vector space. [Hint: mathematical induction may be useful here.]

  • Q : Linear transformation....
    Basic Statistics :

    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.

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