Question

Determine the appropriate critical value(s) for each of the following tests concerning the population mean: a. upper-tailed test: ? = 0.10; n = 36; ? = 4.0 b. lower-tailed test: ? = 0.01; n = 26; s = 6.0 c. two-tailed test: ? = 0.20; n = 31; s = 4.5 d. two-tailed test: ? = 0.05; n = 25; ? = 4.4 a. Determine the appropriate critical value for an upper-tailed test: ? = 0.10; n = 36; ? = 4.0. The critical value(s) is(are) 1.28 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Determine the appropriate critical value for a lower-tailed test: ? = 0.01; n = 26; s = 6.0. The critical value(s) is(are) - 2.49 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) c. Determine the appropriate critical values for a two-tailed test: ? = 0.20; n = 31; s = 4.5. The critical value(s) is(are) 1.31, - 1.31 . (Round to two decimal places as needed. Use a comma to separate answers as needed.) d. Determine the appropriate critical values for a two-tailed test: ? = 0.05; n = 25; ? = 4.4. The critical value(s) is(are) . (Round to two decimal places as needed. Use a comma to separate answers as needed.)

          Determine the appropriate critical value(s) for each of the following tests concerning the population mean:
a. upper-tailed test: ? = 0.10; n = 36; ? = 4.0
b. lower-tailed test: ? = 0.01; n = 26; s = 6.0
c. two-tailed test: ? = 0.20; n = 31; s = 4.5
d. two-tailed test: ? = 0.05; n = 25; ? = 4.4
a. Determine the appropriate critical value for an upper-tailed test: ? = 0.10; n = 36; ? = 4.0.
The critical value(s) is(are) 1.28 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. Determine the appropriate critical value for a lower-tailed test: ? = 0.01; n = 26; s = 6.0.
The critical value(s) is(are) - 2.49 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
c. Determine the appropriate critical values for a two-tailed test: ? = 0.20; n = 31; s = 4.5.
The critical value(s) is(are) 1.31, - 1.31 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
d. Determine the appropriate critical values for a two-tailed test: ? = 0.05; n = 25; ? = 4.4.
The critical value(s) is(are) .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Show more…

Determine the appropriate critical value(s) for each of the following tests concerning the population mean:
a. upper-tailed test: ? = 0.10; n = 36; ? = 4.0
b. lower-tailed test: ? = 0.01; n = 26; s = 6.0
c. two-tailed test: ? = 0.20; n = 31; s = 4.5
d. two-tailed test: ? = 0.05; n = 25; ? = 4.4
a. Determine the appropriate critical value for an upper-tailed test: ? = 0.10; n = 36; ? = 4.0.
The critical value(s) is(are) 1.28 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. Determine the appropriate critical value for a lower-tailed test: ? = 0.01; n = 26; s = 6.0.
The critical value(s) is(are) - 2.49 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
c. Determine the appropriate critical values for a two-tailed test: ? = 0.20; n = 31; s = 4.5.
The critical value(s) is(are) 1.31, - 1.31 .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
d. Determine the appropriate critical values for a two-tailed test: ? = 0.05; n = 25; ? = 4.4.
The critical value(s) is(are) .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Added by Timothy M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

01/23/2022

Step 1

For an upper-tailed test with significance level 0.10 and sample size 36, we are looking at a z-distribution (since the population standard deviation is known). The critical value is the z-score that corresponds to the 90th percentile of the standard normal Show more…

Show all steps

lock

Thanks for your feedback!

Determine the appropriate critical value(s) for each of the following tests concerning the population mean: a. upper-tailed test: α = 0.10; n = 36; σ = 4.0 b. lower-tailed test: α = 0.01; n = 26; s = 6.0 c. two-tailed test: α = 0.20; n = 31; s = 4.5 d. two-tailed test: α = 0.05; n = 25; σ = 4.4 a. Determine the appropriate critical value for an upper-tailed test: α = 0.10; n = 36; σ = 4.0. The critical value(s) is(are) 1.28. (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Determine the appropriate critical value for a lower-tailed test: α = 0.01; n = 26; s = 6.0. The critical value(s) is(are) -2.49. (Round to two decimal places as needed. Use a comma to separate answers as needed.) c. Determine the appropriate critical values for a two-tailed test: α = 0.20; n = 31; s = 4.5. The critical value(s) is(are) 1.31, -1.31. (Round to two decimal places as needed. Use a comma to separate answers as needed.) d. Determine the appropriate critical values for a two-tailed test: α = 0.05; n = 25; σ = 4.4. The critical value(s) is(are) . (Round to two decimal places as needed. Use a comma to separate answers as needed.)

Play audio

Feedback

Powered by NumerAI

David Nguyen and 94 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Hi, i'm david and i'm here to help you answer your question.

00:04 Now let me bring up your question here.

00:07 In this question we're going to discuss about the critical value in the high body testing.

00:12 And let me remind you that in the high body testing, in a two compute the critical value, we have to class and find into the two cases.

00:26 Is it the two tails or is it the one tail? and for the one or two tails, is it the sigma or is it the sample standard deviation? and same thing here.

00:47 Is the population standard division is given or is the sample standard division is given? now for this case here, for the two tails and the standard division from the population given, the critical value will be the z.

01:03 And then we have the unfa over 2.

01:08 Now for the sample standard division is given, and then the critical value will be the t, n minus 1 degree of freedom, and then unfound over 2.

01:19 For the 1 tail with the known population standard division, it will be the z unfar only.

01:27 For the sample standard division will be the t, m minus 1 degree of freedom, and then the nfar.

01:34 So in this question here we need to determine the critical value for each cases.

01:40 Now for the question a, once you find the upper tail, so that will be the one tail, with the unfar equal to the 0 .1 and equal to 36, and we're given the sigma equal to far, and this will be the one tail, the upper tail...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later