Test 03

Test 03 used a spreadsheet to generate ten values randomly picked from a larger sample of normally distributed values generated by WolframAlpha. The population mean and population standard deviation were based on 264 measurements of marbles in grams. These values were then mail merged along with the student name to produce individualized test three documents. Values differ on every paper and the samples do not have the same mean nor standard deviation as the population.

One technical issue: LibreOffice.org continued the ordered list numbers from one merge to the next, resulting in pages after the first page having the numbers 17, 18, and 19 preceding the three lead paragraphs.

 Mass (g) 5.5 5.57 5.38 4.97 5.22 5.75 4.98 4.95 5.33 5.48
The data in the table are the masses in grams of a sample of ten marbles taken from a larger population of marbles. The larger population of marble masses is normally distributed. The sample is a good random sample from the larger population. Use this data to answer all of the the following questions. Note that no two students have the exact same ten marble masses. Your answers will differ from that of the other students in the class.

Part I: Chapter 7

1. n _________ Determine the sample size n for the data.

2. mode = _________Calculate the mode xfor the data.

3. median = _________Calculate the median xfor the data.

4. x= _________Calculate the sample mean xfor the data.

5. sx = _________ Calculate the sample standard deviation sx forthe data.

6. p(mass ≤ 5) = _________ Calculate the probability that amarble in the larger population is less than five grams.

7. _________ If there are 100 marbles in the larger populationof marbles, how many of the 90 are predicted to be less than fivegrams? Round your answer to the nearest whole marble.

8. p(mass ≥ 5.5) = _________ Calculate the probability that amarble in the larger population is more than 5.5 grams.

9. p(5 ≤ mass ≤ 5.5) = _________ Calculate the probabilitythat a marble in the larger population is more than five grams ANDless than 5.5 grams.

10. p(m ≤ __________) = 0.10 Below what mass are the tenpercent least massive marbles?

11. p(m ≥ __________) = 0.10 Above what mass are the tenpercent most massive marbles?

Part II: Chapter 8
Use thesample size and standard deviation from part I.

12. SE = _________ Calculate the standard error for the marbledata.

Part III: Chapter 9
Use the data and resultsabove in this section.

13. df = _________ Calculate the number of degrees of freedom..

14. tc = _________ Calculate tcriticalusing a 95% level of confidence.

15. E = _________ Calculate the margin of error for the mean E.

16. p(__________ ≤ μ ≤ __________) = 0.95 Calculate the95% confidence interval for the mean.