Concept explainers
For each of the following situations, state whether the distribution of values is likely to be a
- a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.)
- b. Weights of adult male manatees in Florida
- c. Scores on a test of memory recall
a.
State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.
Explanation of Solution
The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.
Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.
b.
State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.
Explanation of Solution
The adult male manatee’s weights in Florida are given.
Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.
c.
State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.
Explanation of Solution
The scores in the test of the memory recall are given.
Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.
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Chapter 5 Solutions
Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt