• 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.

  • Q : Probablility the student passes english....
    Basic Statistics :

    The probability that a student passes Math class is 60% and the probablility the student passes English is 80%. The probability that the student passes is 54%

  • Q : Celsius and standard deviation....
    Basic Statistics :

    In a chemical experiment, a solution is to be kept at 70 degrees Celsius. At a randomly selected time, the actual temperature is a normal random variable with mean 70 degrees Celsius and standard de

  • Q : Slightly faulty connection....
    Basic Statistics :

    A computer receives input over a slightly faulty connection. For a particular transmission, 80% of the bits sent consists of 0's; the rest are 1's.

  • Q : Percentiles for the standard normal distribution....
    Basic Statistics :

    Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) (a) 71st

  • Q : Sizes of five independently selected droplets....
    Basic Statistics :

    If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1455 µm? (Round your answer to four decimal places.)

  • Q : Percent of all errors will the proofreader catch....
    Basic Statistics :

    What percent of all errors will the proofreader catch? (Hint: make a tree diagram.) (Round your answer to the nearest whole answer.)

  • Q : Residential numbers in new york city....
    Basic Statistics :

    Only 6% of calls made to residential numbers in New York City reach a person. What is the probability (±0.0001) that none of 6 calls made to New York City reaches a person?

  • Q : Internet sites referenced....
    Basic Statistics :

    Internet sites often vanish or move, so that references to them can't be followed. In fact, 16% of Internet sites referenced in major scientific journals are lost within two years after publication.

  • Q : Winning on any one play....
    Basic Statistics :

    An instant lottery game gives you probability 0.017 of winning on any one play. Plays are independent of each other. If you play 3 times, the probability that you win on one or more of your plays is a

  • Q : Determine the standard deviation....
    Basic Statistics :

    Compute the variance of x by the definition. Compute the variance of x by the short cut formula. Determine the standard deviation of x

  • Q : Mendelian theory of inherited charateristics....
    Basic Statistics :

    According to the Mendelian theory of inherited charateristics, a cross ferilizatiopn of related species of red and white flowered plants produces a generation whose offspring contain 25% red-flowere

  • Q : Diminishing cerebral functions....
    Basic Statistics :

    A research team conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functio

  • Q : Moment 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 : Probability of getting someone....
    Basic Statistics :

    If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary.

  • Q : Amount of the first payment....
    Basic Statistics :

    For the first 4 years interest is at 6% effective; for the remainder of the term interest is at 5% effective. Find the amount of the first payment.

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