27 Feb 2016

School

Department

Course

Professor

STAT*2060: Statistics for Business Decisions (Winter 2016)

Lecture Set 5

Consider this small population of my closest friends and their heights.

1. Michelle (65) 2. Becky (68) 3. Alicia (65) 4. Mary (65)

5. Tina (64) 6. Justin (75) 7. Jason (72) 8. AJ (71)

9. Sondra (65) 10. Heather (73) 11. Pam (67) 12. Pete (66)

13. Matt (72) 14. David (71.5) 15. Marianne (68) 16. Brian (67)

17. Dave (73) 18. Crystal (70) 19. Bergen (71) 20. Nick (75)

21. Shirley (69) 22. Jeremy (70) 23. John (68) 24. Steve (76)

25. Colleen (62) 26. Ryan (67)

The Height of My Friends

Height

Frequency

62 64 66 68 70 72 74 76

0123456

The mean height of the population is 69.06 inches.

You could each take a sample of 10 people and calculate the mean sample height.

How many di↵erent samples are there to take?

1

Text

26C10=5311735

OK! I took them all! All 5311735 di↵erent samples!

Calculated the mean for each sample and recorded them in the histogram below:

Mean Sample Heights

Height

66 68 70 72

2

Histogram of all the possible sample means

smallest sample mean 65.3

(10 shortest people)

largest sample mean

72.95

(10 tallest people)

“sampling

distribution”

Average sample mean is 69.06