Concept explainers
a)
To explain why it is necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.
a)
Answer to Problem 76E
As
Explanation of Solution
The sample data contained 12 sample values which is less than 30. Therefore, it was necessary to inspect a graph of the sample data to make sure that the Normal/Large sample condition is satisfied. So, we need to check if the population distribution is approximately Normal and the shape of the distribution.
b)
To explain whether there is convincing evidence that the average number of goldfish is less than 330.
b)
Answer to Problem 76E
There is no convincing evidence that the average number of goldfish is less than 330.
Explanation of Solution
Given:
Data:
317 | 330 | 325 | 323 | 332 | 337 | 324 | 342 | 330 | 349 | 335 | 330 |
Calculation:
Using excel,
Hence, the 95% confidence interval for true mean number of goldfish:
Decision: The upper confidence limit is 336.738 which is higher than 330.
Conclusion: Therefore, there is no convincing evidence that the average number of goldfish is less than 330.
Chapter 8 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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