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Questions with Answer Key for Elements of Statistics | MA 116, Papers of Statistics

Material Type: Paper; Class: ELEMENTS OF STATISTICS; Subject: Mathematics; University: Montgomery College; Term: Unknown 1989;

Typology: Papers

Pre 2010

Uploaded on 09/17/2009

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HEAD CIRCUMFERENCE
Use the following data sets that have been downloaded into your calculator
FHED = Head circumferences of Two-Month-Old Baby-Girls (cm)
MHED = Head circumferences of Two-Month-Old Baby-Boys (cm)
Chapter 1
1) Answer each of the following:
a) Identify the population(s), and variable (Who are we talking about, what are we
measuring?)
There are two different populations:
2 month-old baby boys and
2-month-old baby girls
Variable: Head circumference measured in centimeters
b) Is the variable qualitative or quantitative?
This variable is quantitative
c) Is the variable discrete or continuous?
It is continuous. Between any two values, there is another value which may represent the
head circumference of other 2-month-old baby boy or girl
d) Identify the level of measurement.
Ratio level of measurement
It makes sense to compare head circumferences of 2-month-old-baby-boys (girls) using a
ratio or quotient.
e) What sampling technique could have been used?
(Answers vary) It may be a convenient sample of all 2-month-old-baby-boys and girls
that have been seen by a doctor of a particular clinic
f) Is this an observational study or an experiment?
It is an observational study.
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Use the following data sets that have been downloaded into your calculator FHED = Head circumferences of Two-Month-Old Baby-Girls (cm) MHED = Head circumferences of Two-Month-Old Baby-Boys (cm) Chapter 1

  1. Answer each of the following: a) Identify the population(s), and variable (Who are we talking about, what are we measuring?) There are two different populations: 2 month-old baby boys and 2-month-old baby girls Variable: Head circumference measured in centimeters b) Is the variable qualitative or quantitative? This variable is quantitative c) Is the variable discrete or continuous? It is continuous. Between any two values, there is another value which may represent the head circumference of other 2-month-old baby boy or girl d) Identify the level of measurement. Ratio level of measurement It makes sense to compare head circumferences of 2-month-old-baby-boys (girls) using a ratio or quotient. e) What sampling technique could have been used? (Answers vary) It may be a convenient sample of all 2-month-old-baby-boys and girls that have been seen by a doctor of a particular clinic f) Is this an observational study or an experiment? It is an observational study.

Chapter 2 – Constructing a frequency distribution

  1. a) Construct a frequency distribution for the head circumferences of baby boys and construct a separate frequency distribution for the head circumferences of baby girls. In both cases, use the classes of 34.0-35.9, 36.0-37.9, and so on. Note: the easiest way to do this is the following: For each data set construct a histogram with the calculator setting up the window according to the specifications given in the notes. Then, trace the histogram to obtain the frequencies. Turn ON one histogram at the time. BABY BOYS BABY GIRLS Classes Frequency Relative freq 34.0-35.9 2. 36.0-37.9 0 0 38.0-39.9 5. 40.0-41.9 29. 42.0-43.9 14. Classes Frequency Relative freq 34.0-35.9 1. 36.0-37.9 3. 38.0-39.9 14. 40.0-41.9 27. 42.0-43.9 5. b) Compare the results and determine whether there appears to be a significant difference between the two genders. It looks like 2-month-old-baby boys have larger head circumferences than 2-month-old- baby girls c) The largest relative frequency for the baby boys’ distribution is ____.58________. It corresponds to the class____40.0-41.9________ d) ____28%_____% of the girls in the sample had a head circumference between 38.0 and 39.9 cm inclusive. e) For the males’ distribution, the cumulative frequency corresponding to the class 40.0-41. is ____ 36 ________ f) Use the same set of axes to construct the two corresponding frequency polygons. The frequency polygon connects the points obtained by plotting (midpoint, frequency) g) True or False? The median of the females’ distribution is in the class 38.0-39. False; it is in the 40-41.9 class