Question

The following data represents the height in inches of 80 randomly selected 5 year-olds.

44.5,45.4,39.6,45.5,42.0,44.5,39.5,42.3,44.0,37.7,42.4,43.0,44.7,43.3,42.2,37.6,43.6,44.6,35.9,34.6,42.2,43.4,63.5,41.2,38.5,42.2,41.3,40.5,43.7,42.4,46.2,44.7,42.7,40.5,43.6,40.3,38.8,37.4,48.1,42.7,45.7,38.6,40.6,44.4,40.6,48.5,41.9,44.5,38.7,47.0,44.8,41.6,47.5,42.6,45.0,41.6,40.3,40.7,46.0,42.8,43.3,50.2,48.4,42.0,40.7,41.7,42.1,38.2,43.4,39.9,39.5,46.9,37.5,40.3,36.3,38.9,41.9,42.6,44.6,42.3

a) Use statistical software to construct a relative frequency histogram. Use 32 as the lowest class limit and a class width of 2. Plot and label the statistics x̄ (x-bar), x̄+1, x̄+2, x̄+3. Draw a normal density curve on the relative frequency histogram. Comment on the shape of the distribution.

b) Do you think the normal density curve accurately describes the heights of five year old females? Why?

Answer #1

a) Use statistical software to construct a relative frequency histogram. Use 32 as the lowest class limit and a class width of 2. Plot and label the statistics x̄ (x-bar), x̄+1, x̄+2, x̄+3. Draw a normal density curve on the relative frequency histogram. Comment on the shape of the distribution.

b) Do you think the normal density curve accurately describes the heights of five year old females? Why?

Yes, since the data fits in the normal density curve.

The following data represents the
amount of gasoline purchased in gallons for a sample of 25 cars
that use a particular service station on the New Jersey
Turnpike:
108 115
123 132 91
102 102 116
129 130 104
115
111 117 124
100 117 116 122
117 113 128
122
Form a stem and leaf.
Construct the percentage and the cumulative percentage
distribution (using 90 as the lower bound of the first class with a
width equal to 10)....

The following data represents the
amount of gasoline purchased in gallons for a sample of 25 cars
that use a particular service station on the New Jersey
Turnpike:
108 115
123 132 91
102 102 116
129 130 104
115
111 117 124
100 117 116 122
117 113 128
122
Form a stem and leaf.
Construct the percentage and the cumulative percentage
distribution (using 90 as the lower bound of the first class with a
width equal to 10)....

1. Driving under the influence of alcohol (DUI) is a serious
offense. The following data give the ages, in order,
of a random sample of 50 drivers arrested while driving under the
influence of alcohol. This distribution is based on the age
distribution of DUI arrests given in the Statistical Abstract of
the United States (112th Edition).
16 18 20 21 21 22 22 22 23 24 24 25 26 26 26 27 27 27 29 30 30
31 31...

John and Mary visited 29 randomly selected Starbucks locations
and recorded the number of cappuccinos sold at each coffee shop on
April 1st. They summarized the data in the following frequency
distribution table: (Variable ,Frequency) (0, 2 ) (1, 5) ( 2, 8)
(3, 10) (4, 4) (5, 2)
a. For this scenario, identify the following: • Variable •
Individual (Subject) • Sample • What percentage of Starbucks
locations sold at least 3 cappuccinos?
b. Calculate the sample mean. Note:...

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...

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