STAT2060 Lecture 5: Lecture set 5 2060 stats

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27 Feb 2016
Department
Course
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 dierent samples are there to take?
1
Text
26C10=5311735
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OK! I took them all! All 5311735 dierent 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
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