
Concept explainers
(a)
To construct: Graph for the distribution of grade levels for the sample data.
(a)

Explanation of Solution
Given:
Percentage of freshman
Percentage of sophomores
Percentage of juniors
Percentage of seniors
Number of freshman in a sample
Number of sophomores in a sample
Number of juniors in a sample
Number of seniors in a sample
Calculation:
Total number of students in a sample
Finding percentages:
Freshman:
Sophomores:
Juniors:
Seniors:
Graph:
For sample data
Interpretation:
From the above graph, it can be seen that most of the students are in sophomores group and then in juniors group, whereas, the claimed percentage says that most of the students lie in freshman group.
Hence, the statistics sample seems unusual.
(b)
To check: Whether the sample distribution differs from actual distribution or not.
(b)

Answer to Problem 1CRE
The sample distribution do not differ from actual distribution
Explanation of Solution
Formula used:
Calculation:
The expected count will be
E | |
Freshman | |
Sophomores | |
Juniors | |
Seniors |
The observed (O) and expected (E) counts are
Expected (E) | Observed (O) | |
Freshman | ||
Sophomores | ||
Juniors | ||
Seniors |
The null and alternate hypotheses are
Test statistic
The test value is
P value
Conclusion:
As the p value is greater than significance level, so there is insufficient evidence to reject null hypothesis at
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Chapter 11 Solutions
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