Statistical Quiz need asap

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  1. A survey found that women height are normally distributed with a mean 63.8 in and standard deviation of 2.8in. The survey also found that mens heights are normally distributed with a mean of 68.1in and standard devation of 2.9 complete the parts

 

  1. Most of the live characters at an amusement park have req. height with a minimum of 4 ft and a max of 6ft 4in. find the percentage of women meet req is——————

  2. Find the % of men who meet req.

  3. If the height req. are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new heights req.? the new height req. are at least———– in and at the most ————inches.

 

 

 

  1. Three randomly selected Households are surveyed. The number of people in the households are 1,3, and 8. Assume the sample of the size n=2 are randomly selected with replacement from the population of 1,3, and 8. Listed below are the nine different samples 1,1   1,3  1,8  3,1   3,3  3,8  8,1   8,3   8,8

    S^2                                                       Probability

    ____                                                         _________

    ______                                                   __________

    _________                                             __________

    __________                                          ____________(fractions)

     

    b. compare the population varance to the mean of the sample variances

     

     

  2. A  genetics experiment involves a population of fruit flies consisting of 2 males named billy and christen and 2 females named dana and Emily. Assume that 2 fruit flies are randomly selected with replacement.

     

 

  1. After listing the possible samples and finding the proportion of the females in each sample, use a table to describe the sampling distribution of the proportion of females.

    Proportion of females|     Probability

    0                                                         ______

    0.5                                                      ______

    1                                                         _______

     

  2. Find the mean of the sampling distribution µ =

  3. Is the mean of the sampling distribution from part b equal to the population of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion?—————

     

 

  1. Assume that a women heights are normally distributed with a mean given by µ= 63.4in, and a

  2.  

    Standard deviation given by σ= 1.7in

 

  1. If 1 women is randomly selected,  find the probability that her height is less than 64in. The probability is approximately ____________

  2. If 30 women are randomly selected find the probability that they have a mean height less than 64in The probability is appoximatley______________

     

     

 

  1. A certain brand of candies have a mean weight of 0.8588g and standard deviation of 0.0523. A sample of these candies came from a package containing 452 candies, the mean weight  of candies must exceed 386.1452  0.8542g for the net contents to weight at least 386.1g

     

 

  1. If 1 candy is randomly selected, find the probability that it weighs more than 0.8542g. ____

  2. If 452 candies are randomly selected, find the probability that their mean weight is at least  at 0.8542g. The probability that a sample of 452 candies will have  a mean weight of 0.8542g or greater is ___________

  3. Given these results does it seem that the candy company is providing consumers with the amount claimed on the label? Answer: Y/N bc the probability of getting a sample mean of 0.8542g or greater when 452 candies are selected is/is not exceptionally small.

 

  1. The values  given below is discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. Probability of exactly 4 passengers who do not show up for  flights.

     

 

  1. The area to the right of 3.5

  2. The area between 3.5 and 4.5

  3. The area to the left of 4.5

  4. The area to the left of 3.5

  5. The area to the right of 4.5

 

  1. Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 199 eligible voters  aged 18-24 are randomly selected. Suppose a previous study showed that among eligible votes aged 18-24, 22% of them voted.

    Probability that fewer than 48 of 199 eligible voters voted is _____________________.

     

     

    MUST SHOW WORK!!!!!!!!!!

 

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