We are interested in testing whether the variance of a population is significantly more than 625. The null hypothesis for this test is Question 10 options: a) H0: σ2 > 625. b) H0: σ2 < 625. c) H0: σ2 < 25. d) H0: σ2 > 625.
Added by Craig R.
Step 1
The question states that we are interested in testing whether the variance of a population is significantly more than 625. This indicates that we are looking to see if the variance is greater than a specific value. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 95 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In a hypothesis test for the population variance, the hypotheses are H0: σ^2 ≥ 30 vs. H1: σ^2 < 30. If the sample size is 20 and the test is being carried out at the 5% level of significance, the null hypothesis is rejected if: a. χ^2 < 30.1. b. χ^2 > 10.8. c. χ^2 < 10.1. d. χ^2 > 31.4.
Madhur L.
Test the hypotheses $$ \begin{aligned} &H_{0}: \sigma^{2} \leq 100 \\ &H_{1}: \sigma^{2}>100 \end{aligned} $$ using the following results from the following random samples. a. $s^{2}=165 ; n=25$ c. $s^{2}=159 ; n=25$ b. $s^{2}=165 ; n=29$ d. $s^{2}=67 ; n=38$
For a random sample of 25 observations from a normal population, the mean and variance are obtained as 71.5, and 156.25, respectively. You wish to test the null hypothesis that the population mean is less or equal to 65. Which one of the following statements is true? None of the suggested answers are correct There is sufficient evidence to conclude that the population mean is greater than 65 with no more than a 0.1% probability of incorrectly rejecting the true null hypothesis. The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed. There is sufficient evidence to show that the population mean is greater than 65 using a level of significance of at least 10% The sample evidence proves beyond a doubt that the population mean is greater than 65.
Manish J.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD