
Concept explainers
To Explain: that the perform a complete analysis of Darwin’s data that includes data a significance test and a confidence interval and follow the four-step statistical.

Answer to Problem 10.50E
There is enough evidence to reject the claim that self-fertilizing and cross-fertilizing leads to the same height in plant
Explanation of Solution
Given:
Formula used:
For confidence intervals
Calculation:
Let us assume:
Step 1:
Here are going to perform a significance test the claim that there is no difference in the two groups and it is calculated a
Step 2:
Collecting the data
The sample contains 15 pairs:
The difference between self-fertilized and cross- fertilized for each
Sample 1 | Sample 2 | Difference D |
23.5 | 17.4 | 6.1 |
12 | 20.4 | -8.4 |
21 | 20 | 3 |
22 | 20 | 2 |
19.1 | 18.4 | 0.7 |
21.5 | 18.6 | 2.9 |
22.1 | 18.6 | 3.5 |
20.4 | 15.3 | 5.1 |
18.3 | 16.5 | 1.8 |
21.6 | 18 | 3.6 |
23.3 | 16.3 | 7 |
21 | 18 | 3 |
22.1 | 12.8 | 9.3 |
23 | 15.5 | 7.5 |
12 | 18 | -6 |
The mean is
The variance is
Step 3:
Analyzing the data
SIGNIFICANCE TEST
The claim is either the null hypothesis or the alternative hypothesis .the null hypothesis statement is that the population mean is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of null hypothesis.
The value of the test statistic is
The P-value is the probability of getting the value of the test statistic, or a value more extreme; assume that the null hypothesis is true. For the P-value
If the P-value is lesser than the significance level
The t-value by looking in the row starting with degrees of freedom
The margin of error is
The confidence intervals are
Step 4:
There is enough evidence to reject the claim that self-fertilizing and cross-fertilizing leads to the same height in plant. There are 95% confident that the mean height of the cross-fertilization is between
Chapter 10 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
College Algebra (7th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
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