Use the following information and the sample sets to answer the following questions about these normal distributions. Be sure to show all of your work. If you do it on your TI calculator give me the function and inputs.

Please be advised that you may use your book and notes on this project, but you may not collaborate with anyone. Getting help on a Project from any person is a violation of the Student Code of Conduct.

  1. Height of Adults in US - Height of adults are known to be normally distributed with a mean of 69inches and a standard deviation of 2.5 inches(taken from
  1. Find the following:(Round each probability to four decimal places)
  1. Find the probability that a randomly selected adult US adulthas a height less than 64 inches tall.
  2. Find the mean of the heights that I collected from statistics students at FTCC.Use data set. (Round to one decimal place.)
  3. Find the probability that a random sample of 52 adults would have a mean height that is less the value from #2above.
  1. Find the following values:
  1. Find the z score for #1 and #3 in part A above (Round each to the nearest hundredth.)
  2. Find the height, x-value, for each percentile: Low 15%, Top 10%, and Middle 90%. (Round each to the nearest tenth.)
  1. How many hours do you sleep each night?– According to the Mayo clinic, the average adult requires 7 – 8 hours of sleep each night. However, most adults have a hard time meeting that requirement. Medical studies haveshown that a lack of sleep leads to health problems and cognitive impairment. The average number of hours that American adults sleep each night is 6.8 hours. The population standard deviation is 1.0 hours. (data from Assume the hours of sleep are normally distributed.
  2. Find the following:(Round each probability to four decimal places.)
  3. Find the probability that a randomly selected American adult sleepmore that 7 hours a night.
  4. Find the mean number of hours that an American Statistics student sleeps each night. Use data set.(Round to one decimal place.)
  5. Find the probability that 52 randomly selected American adults would have a mean sleep time of less than #2 above.
  6. Find the following values
  7. Find the z score for #1 and #3 in part A above (Round each to the nearest hundredth.)
  8. Find the hour, x-value, foreach percentile: Low 30%, Top 10%, and 80th percentile. (Round each to the nearest tenth.)
  9. GPA– The grade point average of US college student has risen over the years. A recent study from 2006, found that the average college GPA in the United States is 3.11. The population standard deviation is 0.5 points. (data from Assume the GPAs are normally distributed.
  10. Find the following:(Round each probability to four decimal places.)
  11. Find the probability that a randomly college student has a GPA of between 2.0 and 3.0.
  12. Find the mean of the GPA of the statistics students at FTCC. Use Data set. (Round to three decimal places.)
  13. Find the probability that52 randomly selected College students have mean GPA thatis greater than or equal to the value in #2 above.
  14. Find the following values
  15. Find the z scores for #1 and #3 in part A above (Round each to the nearest hundredth.)
  16. Find the GPA, x-value, for each percentile: Low 15% and Top 10%. (Round each to the nearest tenth.)
  17. Are there any conclusions that you could make about the statistics students at FTCC? Look at the FTCC numbers compared to the whole US. Make a comment about each data set above.

Rubric Module 3 Project

I. A) 1) 6points 2) 6points 3) 6points
B) 1) 6 points2)9 points

II. A) 1) 6 points 2) 6points 3) 6points
B) 1) 6points 2) 9 points

III. A) 1) 6points 2) 6points 3) 6points
B) 1) 6points 2) 6 points

IV. 4 points

There will also be deductions for grammar mistakes and late submissions.