Asked by Lucille Nicole on Jun 14, 2024
Verified
We are interested in testing whether the variance of a population is significantly more than 625.The null hypothesis for this test is
A) H0: σ2 > 625.
B) H0: σ2 ≤ 625.
C) H0: σ2 ≥ 625.
D) H0: σ2 ≤ 25.
Variance
Measures the spread between numbers in a dataset, indicating how much the data points differ from the mean.
Significantly More
A statistical term indicating that an observed effect or difference is large enough that it is unlikely to have occurred by chance, based on a set significance level.
- Develop null hypotheses to examine claims related to variance and standard deviation.
Verified Answer
LS
Lovejeet SinghJun 16, 2024
Final Answer :
B
Explanation :
The null hypothesis in this case is that the variance of the population is not significantly more than 625. Therefore, the correct choice is B which states that the true variance of the population is less than or equal to 625. Option A assumes that the variance is significantly more than 625, which is the opposite of the null hypothesis. Option C assumes that the variance is greater than or equal to 625, which is not necessary to test for in this case. Option D assumes that the variance is much smaller than 625, which is not relevant for this test.
Learning Objectives
- Develop null hypotheses to examine claims related to variance and standard deviation.
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