Concept explainers
a.
To find: The type of t -statistic involved here.
a.
Answer to Problem 50E
Paired t -static is used here.
Explanation of Solution
Given:
There are two pairs of birds which have been provided with natural caterpillar supply supplemented and control group.
Test statistics for the supplemented and control groups are 0.63 and -2.63 respectively.
In this case, two samples of birds are involved which have been used to make the comparison in two different yeards. The same number of birds are involved in each sample and the condition of before and after is fulfilling here.
Thus, the appropriate test is paired t -statistic.
b.
To find: The degree of freedom for both the groups.
b.
Answer to Problem 50E
The degrees of freedom are 5 and 6.
Explanation of Solution
Calculation:
The degree of freedom could be computed as:
Hence, the degrees of freedom are 5 and 6.
c.
To explain: The reason of test statistic not agreeing with the prediction.
c.
Explanation of Solution
For the test statistic t = 0.63, the p -value for one tailed test at 5 degree of freedom is 0.722. Since, the p-value is more than the significance level the null hypothesis does not get rejected.
Similarly, the p -value for one tailed test at 6 degree of freedom is 0.02. Since, the p-value is less than the significance level the null hypothesis does get rejected.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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