• Q : Distribution of the sample mean....
    Basic Statistics :

    For the distributions mentioned below, suppose that large samples of n have been selected from them, apply the central limit theorem and find out (a) the distribution of the sample mean (b) the vari

  • Q : Certain group of professional women....
    Basic Statistics :

    A sociologist wishes to see if it is true that for the certain group of professional women, the average age at which they've their first child is 28.6 years.

  • Q : Mean score of participants from minnesota....
    Basic Statistics :

    In 2009, the mean score of participants from Minnesota in SAT Critical Thinking test is 595 with variance of 11025. If a sample of sixty participants were to be taken from this group, what is the pr

  • Q : Population mean debt at graduation....
    Basic Statistics :

    A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a=0.01 to conclude that the po

  • Q : Employ the p-value method....
    Basic Statistics :

    A radio manufacture claims that 65% of teenagers 13 to 16 years old have their own portable radios. A researcher wishes to test claim and chooses a random sample of 80 teenagers. She finds out that

  • Q : Probability that the mean life time....
    Basic Statistics :

    If a sample of 45 flies were taken from this population, what is the probability that the mean life time is (a) less than 55 (b) between 58 and 66 (c) greater than 65 days?

  • Q : Confidence interval for mean weight per white mouse....
    Basic Statistics :

    A study of 100 white mice showed that their average weight was 5.2 ounces. The standard deviation of population is 0.6 ounces. Which of the following is the 99% confidence interval for mean weight p

  • Q : Confidence interval of the true mean....
    Basic Statistics :

    A food snack manufacturer samples seven bags of pretzels off the assembly line as well as weighed their contents. If the sample mean is 10.4 and the sample standard deviation is 0.15, find out the 9

  • Q : Determine the true proportion of home owners....
    Basic Statistics :

    A report states that 46% of home owners had a vegetable garden. How large a sample is required to determine the true proportion of home owners who have vegetable gardens to within 3% with 99% confid

  • Q : Variance of life expectancy in europe....
    Basic Statistics :

    A sample of 31 European countries found that variance on life expectancy was 5.2 years. Determine the 99% confidence interval for the variance of life expectancy in Europe?

  • Q : Confidence interval of the true mean....
    Basic Statistics :

    The winning team's scores in 5 high school basketball games were recorded. If the sample mean is 10.5 points and sample standard deviation is 0.25 points, find out the 98% confidence interval of the

  • Q : Joint pdf of two continuous....
    Basic Statistics :

    Assume that the joint pdf of two continuous RVs X and Y is given by f(x,y) = kxy^2 if 0 less than or equal to x less than or equal to y less than or equal to 1 0 otherwise

  • Q : Noisy communication channel....
    Basic Statistics :

    A binary code (0,1) is transmitted along a noisy communication channel. In the absence of noise, relays A,B of the receiver are activated. If 0,1 are received respectively as a result of noise disto

  • Q : Central limit theorem for identically....
    Basic Statistics :

    The Wi's aren't identically distributed (e.g., possible values of W2 are 2 and 0), so our Central Limit Theorem for identically distributed and independent variables can't be employed here when n is

  • Q : Proportion of union membership....
    Basic Statistics :

    A random sample of 300 local wage as well as salary workers showed that 50 belonged to the union. At a=0.05, is there sufficient evidence to conclude that the proportion of union membership differs

  • Q : Random sample of average debt....
    Basic Statistics :

    A random sample of average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a=0.01 to conclude that the popula

  • Q : Estimate the proportion of adults....
    Basic Statistics :

    You wish to estimate the proportion of adults that have ever used alternative medicine. Obtain a sample size that will ensure a margin of error of at most 0.01 for a 95% confidence interval.

  • Q : Operation of an electrical system....
    Basic Statistics :

    A certain component is critical to operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this kind of compomnent is 100 hours and it standard devia

  • Q : Supervisor in marketing company....
    Basic Statistics :

    At the same time, you're taking a calculus class that is attended by 250 students. It would be simple for you to hand out a survey in class. Would you suggest this to your supervisor in marketing co

  • Q : Associated labor cost....
    Basic Statistics :

    Machine A costs $20,000, has zero salvage value at any time, and has associated labor of $1.15 for each and every piece produced on it. Machine B costs $36,000, has zero salvage value at any time, a

  • Q : Types of laser trimming devices....
    Basic Statistics :

    An electronics manufacturer is considering the buy of one of two types of laser trimming devices. The sales forecast indicated that at least 8,000 units will be sold for each year. Device A will rai

  • Q : Find out the rate of return if sprinkler system....
    Basic Statistics :

    Find out the rate of return if sprinkler system is installed. With interest at 12%, find out the payout period for the sprinkler system.

  • Q : Anticipated annual equivalent cost of the asset....
    Basic Statistics :

    An asset was purchased for $52,000 with the anticipation that it would serve for 12 years and be worth $6,000 as scrap. After 5 years of operation, the asset was sold for $18,000. The interest rate

  • Q : Elementary electrical engineering class....
    Basic Statistics :

    You are in an elementary electrical engineering class of 300 students. The instructor tells the class at the beginning of the class that he will be marking on a curve: 10% A, 20% B, 40% C, 20% D, an

  • Q : Particular type of dry cell battery....
    Basic Statistics :

    The life of a particular type of dry cell battery is normally distributed with a mean of 600 days and a standard deviation of 60 days. What fraction of these batteries would be expected to survive b

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