Concept explainers
(a)
To find: The average number of words being spoken in a day by the male and female students at the university.
(a)
Answer to Problem 53E
The decision is “fail reject the null hypothesis”.
Explanation of Solution
Given information:
Researchers equipped random samples of 56 male and 56 female students from a large university with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days.
Formula used:
Calculation:
Here, the two independent samples are measured. Hence, two sample t test is used.
The hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
The test statistic is 0.25, which is obtained below:
The degrees of freedom is,
P-value:
The P-value is obtained Excel
Output obtained using Excel is as follows:
From the output, the P-value is 0.804.
Decision rule:
If the P-value of the test is less than the level of significance, reject. Otherwise, fail to reject the null hypothesis.
Conclusion:
The level of significance is 0.05 and the P-value is 0.804.
Here, P-value is greater than the level of significance.
Thus, the decision is “fail reject the null hypothesis”.
(b)
To analyse: The interpretation of the P-value
(b)
Answer to Problem 53E
There is no evidence to conclude that the difference in the average number of words spoken in a day by male and female students at this university.
Explanation of Solution
Given information:
Researchers equipped random samples of 56 male and 56 female students from a large university with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days.
There is no evidence to conclude that the difference in the average number of words spoken in a day by male and female students at this university.
Conclusion:
There is no evidence to conclude that the difference in the average number of words spoken in a day by male and female students at this university.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Introductory Statistics (2nd Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Statistics for Business and Economics (13th Edition)
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