Question

Test H0: μ ≤ 8 versus HA: μ > 8, given α = 0.01, n =...

Test H0: μ ≤ 8 versus HA: μ > 8, given α = 0.01, n = 25, X = 8.13 and s = 0.3. Assume the sample is selected from a normally distributed population.

Homework Answers

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 8

Ha : > 8

Test statistic = t

= ( - ) / s / n

= (8.13 - 8) / 0.3 / 25

= 2.17

P(z > 2.17) = 1 - P(z < 2.17) = 0.015

P-value = 0.015

= 0.01

P-value >

Fail to reject the null hypothesis .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Please type work and answer. Test H0: m £ 8 versus HA: m > 8, at...
Please type work and answer. Test H0: m £ 8 versus HA: m > 8, at a = 0.05 and 0.01, given n = 25, X = 8.07 and s = 0.16. Assume the sample is selected from a normally distributed population.
We wish to test H0: μ = 120 versus Ha: μ ¹ 120, where ? is...
We wish to test H0: μ = 120 versus Ha: μ ¹ 120, where ? is known to equal 14. The sample of n = 36 measurements randomly selected from the population has a mean of ?̅ = 15. a. Calculate the value of the test statistic z. b. By comparing z with a critical value, test H0 versus Ha at ? = .05.
It is desired to test H0: μ = 50 against HA: μ ≠ 50 using α...
It is desired to test H0: μ = 50 against HA: μ ≠ 50 using α = 0.10. The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If μ is really equal to 45, what is the power of the test ?
The following information is given for a one-sample t test: H0: μ = 100; HA: μ...
The following information is given for a one-sample t test: H0: μ = 100; HA: μ < 100 Sample statistics: x̅= 95; s = 12.42 Value of the test statistic: t = –1.80 (a) Determine the sample size, n. (b) At a significance level α = 0.05, would your decision be to reject H0 or fail to reject H0?
7. Test H0: π = 0.25 versus HA: π ¹0.25 with p = 0.33 and n...
7. Test H0: π = 0.25 versus HA: π ¹0.25 with p = 0.33 and n = 100 at alpha = 0.05 and 0.10. 8. Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor the plus/minus grading system at a university if in a random sample of 500 students, 285 favor the system? 9. Test whether the sample evidence indicates that the average time an employee stays with a company in their current...
Use a​ t-test to test the claim about the population mean μ at the given level...
Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. ​Claim: μ ≠ 24​; α=0.10    Sample​ statistics: x overbar = 21.4​, s = 4.2 ​, n equals = 11 What are the null and alternative​ hypotheses? Choose the correct answer below. A.H0​: μ≠24    Ha​: μ=24 B.H0​: μ≤24    Ha​: μ>24 C.H0​: μ=24 Ha​: μ≠24 D.H0​: μ≥24 Ha​: μ than<24...
In a test of the hypothesis Ho: μ = 50 versus Ha: μ ≠ 50, with...
In a test of the hypothesis Ho: μ = 50 versus Ha: μ ≠ 50, with a sample of n = 100 has a Sample Mean = 49.4 and Sample Standard Deviation, S = 4.1. (a) Find the p-value for the test. (b) Interpret the p-value for the test, using an α = 0.10.   
Use a​ t-test to test the claim about the population mean μ at the given level...
Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. ​Claim: μ=51,300; α=0.10 Sample​ statistics: x overbar =52,024​ s=2,100 n=19
Test the claim about the population mean μ at the level of significance α. Assume the...
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical t-score and your t-test statistic. Decide whether you would reject or fail to reject your null hypothesis. Claim μ ≥ 13.9 α = 0.05 Sample statistics: x̅ = 13, s = 1.3, n = 10 H0: Ha: t0: t-test statistic: Decision:
To test H0: μ=100 versus H1: μ≠100, a simple random sample size of n=24 is obtained...
To test H0: μ=100 versus H1: μ≠100, a simple random sample size of n=24 is obtained from a population that is known to be normally distributed. A. If x=105.8 and s=9.3 compute the test statistic. B. If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the critical values. C. Draw a t-distribution that depicts the critical regions. D. Will the researcher reject the null hypothesis? a. The researcher will reject the null hypothesis since...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT