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Exam 3: Basic Statistics

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Question 1

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In order to make statements such as 8 units is twice as much as 4 units, the ratio scale of measurement is required.

A) True
B) False

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Question 2

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A graphic representation of a distribution of scores that is skewed to the right is often normally distributed.

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B) False

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Question 3

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A group of students completes the 12-minute run prior to a six-week jogging unit. At the end of the unit, the 12-minute run test is administered a second time. The instructor is interested in knowing if there is a statistically significant difference in the results of the two tests. To answer this question, the appropriate statistical test would be:

When scores are to be handled in an ungrouped distribution, what is the recommended arrangement?

The numbers on football jerseys are an example of the:

$\begin{array} { | l | l | } \hline \boldsymbol { X } & \boldsymbol { f } \\\hline & \\\hline 17 & 2 \\\hline 16 & 4 \\\hline 15 & 5 \\\hline 14 & 7 \\\hline 13 & 7 \\\hline 12 & 8 \\\hline 11 & 10 \\\hline 10 & 9 \\\hline 9 & 5 \\\hline 8 & 3 \\\hline\end{array}$ -What score from a group of scores having a mean of 25 and a standard deviation of 6 corresponds to a z-score of −1.5?

$\begin{array} { | l | l | } \hline \boldsymbol { X } & \boldsymbol { f } \\\hline & \\\hline 17 & 2 \\\hline 16 & 4 \\\hline 15 & 5 \\\hline 14 & 7 \\\hline 13 & 7 \\\hline 12 & 8 \\\hline 11 & 10 \\\hline 10 & 9 \\\hline 9 & 5 \\\hline 8 & 3 \\\hline\end{array}$ -Approximately what percentile rank is associated with a score located one standard deviation above the mean in a normal distribution?

Standard scores are an example of an ordinal level of measurement.

$\begin{array} { | l | l | } \hline \boldsymbol { X } & \boldsymbol { f } \\\hline & \\\hline 17 & 2 \\\hline 16 & 4 \\\hline 15 & 5 \\\hline 14 & 7 \\\hline 13 & 7 \\\hline 12 & 8 \\\hline 11 & 10 \\\hline 10 & 9 \\\hline 9 & 5 \\\hline 8 & 3 \\\hline\end{array}$ -If 40 of the 120 scores in a distribution fall below a score of 50, what is the percentile rank of this score?

$\begin{array} { | l | l | } \hline \boldsymbol { X } & \boldsymbol { f } \\\hline & \\\hline 17 & 2 \\\hline 16 & 4 \\\hline 15 & 5 \\\hline 14 & 7 \\\hline 13 & 7 \\\hline 12 & 8 \\\hline 11 & 10 \\\hline 10 & 9 \\\hline 9 & 5 \\\hline 8 & 3 \\\hline\end{array}$ -For the data listed below, calculate the correlation coefficient between pull-ups and chin-ups using the appropriate statistical method. $\begin{array} { | l | l | l | l | } \hline \text { Pull-ups } ( X ) & \text { Chin-ups } ( Y ) & &~~~~~~ \\\hline & & & \\\hline 6 & 8 & & \\\hline 5 & 5 & \text { Sum of } X = 57 & \\\hline 9 & 13 & & \\\hline 4 & 3 & \text { Sum of } Y = 69 & \\\hline 2 & 3 & & \\\hline 12 & 12 & \text { Sum of } X ^ { 2 } = 455 & \\\hline 8 & 9 & & \\\hline 9 & 11 & \text { Sum of } Y ^ { 2 } = 639 & \\\hline 0 & 1 & & \\\hline 2 & 4 & \text { Sum of } X Y = 531 & \\\hline\end{array}$

Slight changes in some scores will probably not affect the:

$\begin{array} { | l | l | l | } \hline \text { Group } \boldsymbol { X } & \boldsymbol { f } & \text { cum } \boldsymbol { f } \\\hline & & \\\hline 20 - 22 & 3 & 50 \\\hline 17 - 19 & 5 & 47 \\\hline 14 - 16 & 10 & 42 \\\hline 11 - 13 & 14 & 32 \\\hline 8 - 10 & 11 & 18 \\\hline 5 - 7 & 6 & 7 \\\hline 2 - 4 & 1 & 1 \\\hline\end{array}$ -Using the set of data above, what is the score corresponding to the percentile rank of 70%?

$\begin{array} { | l | l | l | } \hline \text { Group } \boldsymbol { X } & \boldsymbol { f } & \text { cum } \boldsymbol { f } \\\hline & & \\\hline 20 - 22 & 3 & 50 \\\hline 17 - 19 & 5 & 47 \\\hline 14 - 16 & 10 & 42 \\\hline 11 - 13 & 14 & 32 \\\hline 8 - 10 & 11 & 18 \\\hline 5 - 7 & 6 & 7 \\\hline 2 - 4 & 1 & 1 \\\hline\end{array}$ -Using the normal distribution table in your textbook, what is the equivalent percentile rank of each of the scores above?

Predicting a person's weight based on height, shoe size, and waist circumference would be an example of using a multiple regression formula.

Lining students up according to height without actually measuring height represents the interval scale of measurement.

Use the following data to answer this question: 10, 9, 7, 7, 6, 5, 4, 2, 1. What is the median for this distribution?

The least important consideration factor in making the decision to work with data in a grouped or an ungrouped distribution is:

$\begin{array} { | l | l | l | } \hline \text { Group } \boldsymbol { X } & \boldsymbol { f } & \text { cum } \boldsymbol { f } \\\hline & & \\\hline 20 - 22 & 3 & 50 \\\hline 17 - 19 & 5 & 47 \\\hline 14 - 16 & 10 & 42 \\\hline 11 - 13 & 14 & 32 \\\hline 8 - 10 & 11 & 18 \\\hline 5 - 7 & 6 & 7 \\\hline 2 - 4 & 1 & 1 \\\hline\end{array}$ -What percentage of scores lies between the z-scores of .33 and 2.15?

A basketball team played ten games at home, ten games on the road, and 12 games on a neutral court. The coach wanted to know if there was a statistically significant difference in the offensive point production in the three settings. To make this determination, the appropriate statistical test would be:

Standard scores allow meaningful comparisons to be made from raw scores of different types of measurement.