Concept explainers
(a)
To explain: the suitable test and to demonstrate that the criteria for carrying out this test are fulfilled.
(a)
Explanation of Solution
One means: t test / interval of one-sample
Two mean: paired t-test / interval
One proportion: z test / interval one-sample
Two proportions: the z-test / interval of two samples
When there is required to test for a difference, equality, rise or decrease, use a test. If there is required to measure an interval in which the true value lies, use an interval. Two-sample t-test suggests difference for a population
The test has three requirements; Random, Normal, Independent,
Random: Satisfied, since random samples are given for the samples.
Normal: Satisfied, since the sample histograms do not display strong skewness or outliers.
(b)
To Explain: The P-value which will get from the part (a).
(b)
Answer to Problem 13PT
If the mean population is equal, the probability of obtaining two samples with a difference (or more extreme difference) as in the given two samples is 5.8 percent.
Explanation of Solution
Given:
If the null hypothesis is valid, the P-value is the possibility of receiving the value of the test statistic, or a value more extreme.
This then implies that if the population means are equal, then the likelihood of having two samples with a difference (or a more serious difference) as in the given two sample is 5.8 percent.
(c)
To Explain: the conclusion draws at 0.05 significance level.
(c)
Explanation of Solution
Given:
From the part (b)
If the P-value is less than the significance level, reject the null hypothesis.
There is insufficient evidence to support the claim that, on average, two-bedroom apartments rent much more than one-bedroom apartments.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics
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Statistical Reasoning for Everyday Life (5th Edition)
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