Question
The data below was collected from a group of 45 female students at last semester. You will use this data throughout the semester on your
The data below was collected from a group of 45 female students at last semester. You will use this data throughout the semester on your lab assignments.
| Student # | Gender | Height | Shoe | Age | Hand |
| 1 | F | 68 | 8.5 | 20 | R |
| 2 | F | 60 | 5.5 | 27 | R |
| 3 | F | 64 | 7 | 31 | R |
| 4 | F | 67 | 7.5 | 19 | R |
| 5 | F | 65 | 8 | 20 | R |
| 6 | F | 66 | 9 | 29 | R |
| 7 | F | 62 | 9.5 | 30 | L |
| 8 | F | 63 | 8.5 | 18 | R |
| 9 | F | 60 | 5 | 19 | L |
| 10 | F | 63 | 7.5 | 42 | R |
| 11 | F | 61 | 7 | 20 | R |
| 12 | F | 64 | 7.5 | 17 | R |
| 13 | F | 65 | 8 | 19 | R |
| 14 | F | 68 | 8 | 19 | R |
| 15 | F | 63 | 7.5 | 18 | R |
| 16 | F | 62 | 7.5 | 19 | R |
| 17 | F | 64 | 7 | 23 | R |
| 18 | F | 72 | 11 | 28 | R |
| 19 | F | 62 | 8 | 20 | R |
| 20 | F | 59 | 6.5 | 29 | R |
| 21 | F | 64 | 8.5 | 19 | R |
| 22 | F | 68 | 9.5 | 23 | R |
| 23 | F | 65 | 9.5 | 34 | R |
| 24 | F | 63 | 8 | 27 | R |
| 25 | F | 65 | 8 | 23 | R |
| 26 | F | 62 | 7.5 | 30 | R |
| 27 | F | 67 | 7.5 | 31 | L |
| 28 | F | 66 | 9 | 37 | R |
| 29 | F | 61 | 6 | 24 | R |
| 30 | F | 61 | 6.5 | 46 | R |
| 31 | F | 68 | 8 | 20 | R |
| 32 | F | 63 | 7.5 | 42 | R |
| 33 | F | 63 | 5.5 | 33 | R |
| 34 | F | 63 | 9 | 35 | R |
| 35 | F | 65 | 8 | 44 | R |
| 36 | F | 69 | 9 | 28 | R |
| 37 | F | 68 | 9 | 20 | R |
| 38 | F | 63 | 7 | 49 | R |
| 39 | F | 62 | 6.5 | 19 | R |
| 40 | F | 66 | 7.5 | 19 | R |
| 41 | F | 69 | 7.5 | 55 | R |
| 42 | F | 69 | 11 | 40 | R |
| 43 | F | 63 | 6.5 | 19 | R |
| 44 | F | 61 | 7.5 | 20 | R |
| 45 | F | 68 | 9 | 19 | R |
Rounding instructions: Use your graphing calculator. If you get a decimal answer, round to 4 decimal places.If you get an answer in scientific notation, please leave it in scientific notation rounded to one place after the decimal (ie. 1.2x10-4).
- It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 8 people. Let x represent the number of left-handers.
- Construct a binomial distribution using your graphing calculator.
- Find the probability that exactly 6 people are left-handed.
- Find the probability that less than 3 people are left-handed.
- Find the probability that at least 1 person is left-handed.
- Find the mean of the binomial distribution.
- Find the standard deviation of the binomial distribution.
- Complete the following sentence:
In our class data, we surveyed a TOTAL (combine male sample data and female sample data) of _____ (n) students and found that _____ (x) of those surveyed were left-handed.
- Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x "lefties" (Use the numeric values for nand x from our class data.)
- In chapter 3, we noted that an event that occurs with a probability of 0.05 or less is considered unusual. Is the number of "lefties" (x) in our data unusual? (State yes or no)
- Assuming that 15% of the population is left-handed and we surveyed a total of (n) students, calculate the mean.
- Using the mean from part d, should we have expected more or less "lefties" in our class data?
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Authors: Kenneth W. Clarkson, Roger LeRoy Miller, Frank B. Cross
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