Worksheet two: Skin Care for a Mansuit

Days
14
13
15
11
11
11
14
14
12
13

In studies of the showering habits of the male Homo sapiens, Proctor & Gamble found that males were accessing specialty shower products kept in the shower by their female partners. Proctor & Gamble realized that men were not necessarily Neanderthals and that even men who were not style-oriented would pay a premium for specialty products such as soap for men only. Proctor & Gamble developed and deployed the Dial for Men line of products including soaps. Dial for Men costs more than regular soap. If Dial for Men lasts longer than regular soap, then the increased price would be worth the expense. How many days does a Dial for Men bar last? Each bar of Dial for Mean was used by a single person. The number of days each bar of soap lasted is recorded in the table. 1, 2, 3

Dial for Men 3D
  1. What is the level of measurement?
  2. Calculate the sample size n.
  3. Calculate the zeroth quartile.
  4. Calculate the first quartile.
  5. Calculate the second quartile.
  6. Calculate the third quartile.
  7. Calculate the fourth quartile.
  8. Calculate the Inter-Quartile Range.
  9. Calculate the minimum.
  10. Calculate the maximum.
  11. Calculate the range.
  12. Calculate the midrange.
  13. Calculate the mode.Tone
  14. Calculate the median.
  15. Calculate the sample mean x.
  16. Calculate the sample standard deviation sx.
  17. Calculate the coefficient of variation.
  18. Calculate the standard error of the sample mean x
  19. Calculate tcritical for a confidence level c of 95%
  20. Calculate the margin of error E for the sample mean x.
  21. Write out the 95% confidence interval for the population mean μ number of days that Dial for Men soap lasts.
    Tone
    10
    9
    14
    8
    8
    6
    12
    13
    10

    p( __ < μ < __ ) = 0.95
  22. A study of Ivory soap found that bars of Ivory lasted an average of 12 days. Is the Ivory average within the 95% confidence interval for the population mean duration in days for Dial for Men?
  23. Tone is a popular beauty soap for women. Nine bars of Tone beauty soap were used by a single person until the bar was finished. The number of days the soap lasted is in the second table. Write out the 95% confidence interval for the population mean μ number of days that Tone soap lasts.
    p( __ < μ < __ ) = 0.95
  24. Is the Tone average within the 95% confidence interval for the population mean duration in days for Dial for Men?