\[\begin{array} { | c | c | } \hline \text { Weight (pounds) } & \text { Frequency } \\ \hline 6 & 1 \\ \hline 7 & 2 \\ \hline 8 & 2 \\ \hline 9 & 5 \\ \hline 10 & 3 \\ \hline 11 & 2 \\ \hline 12 & 1 \\ \hline \end{array}\] What is the standard deviation?

A) 9.06 B) 1.56 C) 3.32 D) 9.0 A) 9.06 B) 1.56 C) 3.32 D) 9.0

\[\begin{array} { | c | c | } \hline \text { Weight (pounds) } & \text { Frequency } \\ \hline 6 & 1 \\ \hline 7 & 2 \\ \hline 8 & 2 \\ \hline 9 & 5 \\ \hline 10 & 3 \\ \hline 11 & 2 \\ \hline 12 & 1 \\ \hline \end{array}\] A mutant cat that lives in a zoo in Germany has a weight z-score of zero. Its weight in pounds is closet to:

A) 6 B) 8 C) 9 D) 10 A) 6 B) 8 C) 9 D) 10

\[\begin{array} { | c | c | } \hline \text { Weight (pounds) } & \text { Frequency } \\ \hline 6 & 1 \\ \hline 7 & 2 \\ \hline 8 & 2 \\ \hline 9 & 5 \\ \hline 10 & 3 \\ \hline 11 & 2 \\ \hline 12 & 1 \\ \hline \end{array}\] If a mutant cat weighs 11 pounds, its weight converts to a z-score of:

A) 2.0 B) 1.5 C) 1.3 D) 1.2 A) 2.0 B) 1.5 C) 1.3 D) 1.2

\[\begin{array} { | c | c | } \hline \text { Weight (pounds) } & \text { Frequency } \\ \hline 6 & 1 \\ \hline 7 & 2 \\ \hline 8 & 2 \\ \hline 9 & 5 \\ \hline 10 & 3 \\ \hline 11 & 2 \\ \hline 12 & 1 \\ \hline \end{array}\] A mutant cat that weighs 8 pounds has a deviation score of:

A) 1 B) 0 C) -1 D) -4 A) 1 B) 0 C) -1 D) -4

Exam 6: Where Am I Normal Distributions and Standard Scores

Brittney's z-score is 0 on a test with a mean of 100 and a standard deviation of 10. Jessica's z-score is 0.33 on the same test. What is the difference between their raw scores?

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

B

A deviation score in the z-score formula cannot be replaced by the mode of the sample.

Free

(True/False)

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Question 2

Correct Answer:

Verified

True

Margo's z-score on a test is 0.6; her actual score is 50 and the mean of the test is 51. What is the standard deviation of the test?

Free

(Multiple Choice)

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Question 3

Correct Answer:

Verified

A

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 Carissa is working to conserve the last surviving mutant cats. The table above displays the distribution of weight of the last existing population of mutant cats. Which of the following is the best description of the mean, mode and median of mutant cat weight?

(Multiple Choice)

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Question 4

A test of spatial skill has a mean of 200 and a standard deviation of 10. A newer, different test of spatial skills has a mean of 50 and a standard deviation of 15. A score of 100 would be more common in the new test than in the older test.

(True/False)

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Question 5

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 What is the standard deviation?

(Multiple Choice)

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Question 6

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 A mutant cat that lives in a zoo in Germany has a weight z-score of zero. Its weight in pounds is closet to:

(Multiple Choice)

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Question 7

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 If a mutant cat weighs 11 pounds, its weight converts to a z-score of:

(Multiple Choice)

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Question 8

To find out the probability of obtaining any given score on a test as compared to the population, you will need at least the mean and standard deviation.

(True/False)

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Question 9

Under the 3-sigma rule, 96% of observations would be within how many standard deviations from the mean?

(Multiple Choice)

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Question 10

Lucia hypothesizes that her friends scored better than the average student on a physics exam. She obtains the exam scores of her 4 friends and calculates the average score, which is 86%. If the overall average for the exam is 82% with a standard deviation of 3.2, is Lucia's hypothesis supported, assuming an alpha level of 0.05? Why?

(Essay)

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Question 11

Given that Sophie's deviation score on a test is -0.05 and the standard deviation of the test is 1.4, what is her z-score?

(Multiple Choice)

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Question 12

The 3-sigma rule describes the distribution of observations in a skewed distribution.

(True/False)

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Question 13

Natalie had a score of 55 on a test with a mean of 40 and standard deviation of 8. What is her percentile rank on the test, to the nearest percent?

(Short Answer)

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Question 14

To use the z-test, you need to know only one population parameter.

(True/False)

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Question 15

An IQ score on the Stanford-Binet test is an unstandardized score.

(True/False)

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Question 16

Under the 3-sigma rule, 98% of observations will be within two standard deviations from the mean.

(True/False)

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Question 17

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 A mutant cat that weighs 8 pounds has a deviation score of:

(Multiple Choice)

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Question 18

Jaime and Gina are comparing SAT scores. The scores are standardized and range from 200 to 800 for each section. Jaime scored 750 on the verbal section, while Gina scored 760 in the same section. Which of the following statements is true?

(Multiple Choice)

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Question 19

To standardize scores, we only need to know the shape of the distribution and the standard deviation.

(True/False)

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Question 20

Brittney's z-score is 0 on a test with a mean of 100 and a standard deviation of 10. Jessica's z-score is 0.33 on the same test. What is the difference between their raw scores?

A deviation score in the z-score formula cannot be replaced by the mode of the sample.

Margo's z-score on a test is 0.6; her actual score is 50 and the mean of the test is 51. What is the standard deviation of the test?

A test of spatial skill has a mean of 200 and a standard deviation of 10. A newer, different test of spatial skills has a mean of 50 and a standard deviation of 15. A score of 100 would be more common in the new test than in the older test.

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 What is the standard deviation?

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 A mutant cat that lives in a zoo in Germany has a weight z-score of zero. Its weight in pounds is closet to:

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 If a mutant cat weighs 11 pounds, its weight converts to a z-score of:

To find out the probability of obtaining any given score on a test as compared to the population, you will need at least the mean and standard deviation.

Under the 3-sigma rule, 96% of observations would be within how many standard deviations from the mean?

Given that Sophie's deviation score on a test is -0.05 and the standard deviation of the test is 1.4, what is her z-score?

The 3-sigma rule describes the distribution of observations in a skewed distribution.

Natalie had a score of 55 on a test with a mean of 40 and standard deviation of 8. What is her percentile rank on the test, to the nearest percent?

To use the z-test, you need to know only one population parameter.

An IQ score on the Stanford-Binet test is an unstandardized score.

Under the 3-sigma rule, 98% of observations will be within two standard deviations from the mean.

Weight (pounds) Frequency 6 1 7 2 8 2 9 5 10 3 11 2 12 1 A mutant cat that weighs 8 pounds has a deviation score of:

Jaime and Gina are comparing SAT scores. The scores are standardized and range from 200 to 800 for each section. Jaime scored 750 on the verbal section, while Gina scored 760 in the same section. Which of the following statements is true?

To standardize scores, we only need to know the shape of the distribution and the standard deviation.

Introduction: Statistics--Who Needs Them

Types of Data

A Picture Is Worth a Thousand Words: Creating and Interpreting Graphics

Measures of Central Tendency: Whats so Average About the Mean

Variability: the Law of Life

Basic Probability Theory

The Central Limit Theorem and Hypothesis Testing

The Z-Test

The T-Test

Analysis of Variance

Confidence Intervals and Effect Size: Building a Better Mousetrap

Correlation and Regression: Are We Related

The Chi-Square Test

Non-Parametric Tests

Which Test Should I Use and Why

Filters