Concept explainers
(a)
To Explain: That the centres are similar or different from the two groups and the spreads are identical or distinct from the two groups.
(a)
Answer to Problem 44E
Centers: different
Spread: different
Explanation of Solution
Given:
The centre lies between the dot most to the left and the dot most to the right, approximately in the centre. Then it is noticed that the centre is more to the right than to the left of the upper dot plot, so the centres seem to be different. The spread is the difference between the leftmost dot and the rightmost dot. Then it is noticed that the spread tends to be more than the spread for the bottom dot plot for the top dot plot, and therefore the spread tends to be different.
(b)
To construct: and explain a 95 percent confidence interval for the difference in the mean length of these two types flowers.
(b)
Answer to Problem 44E
(2.5538, 4.4828)
Explanation of Solution
Given:
Formula used:
For the confidence interval
Calculation:
The computed mean is
The computed variance is
Finding the degrees of freedom is
Determine
Confidence interval for
There is 95% trust that there is a significant difference between 2.5538 and 4.4828.
(c)
To Explain: The interval confirms the researcher's assumption that the average length of the two flower varieties is different.
(c)
Explanation of Solution
From the part (b):
(2.5538. 4.4828)
The confidence interval does not include 0, which means that the mean difference is more likely to be non-zero and that the interval also supports the assumption that the two varieties have different lengths.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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