Question

Using the class sample data, analyze the student heights by completing the following. Please note the following directions.

The data below was collected from a group of 45 female students 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

1. Construct a frequency distribution of heights using: 7 classes for “Female” data. Calculate the class width using the steps presented in your textbook. Your frequency distribution should include a column for classes, class midpoints, frequencies and relative frequencies. (3 decimal places) (Remember: The first lower limit should be the MINIMUM of your data.)

2. Use your frequency distribution to construct a histogram. Label your histogram using midpoints. Your histogram should be labeled so that an outsider can completely understand it.

3. Construct a dot plot of the data. (Please make this at least 4” wide on your paper as you will be adding to this as part of #6 below.)

4. What is (are) the most common height (s)?

5. Using the women’s heights from the sample, find the following:

a. Sample size (n)

b. Sample mean (???) (1 decimal place)

c. Median

d. Mode

e. Sample standard deviation (s) (2 decimal places)

f. Sample variance (??2) (2 decimal places)

g. Range

Answer #1

(1) range=maximum-minimum=72-59=13

class width=range/number of class=13/2=2 ( nearest whole number)

Class | midpoint | f | relative frequency |

59-60 | 59.5 | 3 | 6.7 |

61-62 | 61.5 | 9 | 20.0 |

63-64 | 63.5 | 13 | 28.9 |

65-66 | 65.5 | 9 | 20.0 |

67-68 | 67.5 | 7 | 15.6 |

69-70 | 69.5 | 3 | 6.7 |

71-72 | 71.5 | 1 | 2.2 |

(2 and 3) the histogram and dot plot is given as

(4) most common height =63 ( it is most repeated - 9 times )

(5)

sample size | n= | 45 |

sample mean | mean= | 64.4 |

Median= | median= | 64 |

Mode= | mode= | 63 |

sample standard deviation | s | 2.95 |

sample variance | s2= | 8.71 |

Range=max-min=72-59=13

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...

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

A randomly selected sample of college basketball players has the
following heights in inches.
63, 62, 71, 63, 63, 63, 69, 61, 68, 64, 62, 62, 65, 69, 69, 71,
66, 62, 63, 64, 66, 61, 63, 67, 65, 64, 63, 61, 68, 68, 67, 62
Compute a 95% confidence interval for the population mean height
of college basketball players based on this sample and fill in the
blanks appropriately.
______< μ <_____ (Keep 3 decimal places)

Use the classroom dataset. A researcher wants to be able to use
shoe size to predict height.
Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5,
11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6
Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65,
72, 64, 65, 66, 61, 67, 64, 65, 60, 64
A) what variable is the response variable and which is the
predictor variable?
B)...

A randomly selected sample of college basketball players has the
following heights in inches. 65, 62, 64, 61, 68, 61, 63, 70, 66,
71, 65, 62, 61, 66, 69, 71, 69, 67, 65, 65, 65, 71, 67, 63, 71, 67,
68, 63, 66, 70, 69, 64 Compute a 99% confidence interval for the
population mean height of college basketball players based on this
sample and fill in the blanks appropriately. < μ < (Keep 3
decimal places)

Shoe Sizes:
10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5,
7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7
Height in inches:
61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67,
63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6
Based on our sample data, is there any linear correlation
between our heights and...

A randomly selected sample of college basketball players has the
following heights in inches.
65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67,
61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61
Compute a 95% confidence interval for the population mean height
of college basketball players based on this sample and fill in the
blanks appropriately.
___ < μ < ___ (Keep 3 decimal places)

data on the heights of 37 randomly selected female engineering
students at UH:
62 64 61 67 65 68 61 65 60 65 64 63 59
68 64 66 68 69 65 67 62 66 68 67 66 65
69 65 69 65 67 67 65 63 64 67 65
We found that the sample mean and sample standard deviation for
this sample data are 65.16 inches and 2.54 inches, respectively. Do
you find sufficient evidence in the sample data...

6 Use 10 bins with the first
centered on 61 in. and of width 1 in.
Construct a histogram for the female
student height data in Exercise 6.2.8.
The female students in an undergraduate engineering core course
at ASU self-reported their heights to the nearest inch. The data
follow. Construct a stem-and-leaf diagram for the height data and
comment on any important features that you notice. Calculate the
sample mean, the sample standard deviation, and the sample median
of height.
62...

The accompanying frequency table shows the heights? (in inches)
of 130 members of a choir. a right parenthesis Find the median and
IQR. b right parenthesis Find the sample mean and sample standard
deviation. c right parenthesis Display these data with a histogram.
d right parenthesis Write a few sentences describing the
distribution of heights. frequency table of heights of choir
members. ?
Height Count
60 1
61 6
62 10
63 6
64 3
65 20
66 19
67...

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