Question

If, in a sample of n=20 selected from a normal​ population, X bar=51 and S=12, what...

If, in a sample of n=20 selected from a normal​ population, X bar=51 and S=12, what are the critical values of t if the level of​ significance, α​, is 0.10 the null​ hypothesis, H0​, is

μ=50, and the alternative​ hypothesis, H1, is μ not equal to 50.

1. What are the critical values of t?
(round to four decimal places as needed(

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given the sample size = 20. since the alternative hypothesis is two sided, therefore the critical value is find out with degree of freedom 19 and equal

, can be find out from t distribution such thst for which

  

from t distribution table,

Add a comment
Know the answer?
Add Answer to:
If, in a sample of n=20 selected from a normal​ population, X bar=51 and S=12, what...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • ​If, in a sample of n=20 selected from a normal​ population, overbar X=54 and S=8​, what...

    ​If, in a sample of n=20 selected from a normal​ population, overbar X=54 and S=8​, what are the critical values of t if the level of​ significance, α​, is 0.10​, the null​ hypothesis, H0​, is μ=50, and the alternative​ hypothesis, H1, is μ≠50? The critical values of t are ± ​(Round to four decimal places as​ needed.)

  • If, in a sample of n = 16 selected from a normal population, x bar =...

    If, in a sample of n = 16 selected from a normal population, x bar = 57, and s = 8, what are the critical values of t if the level of significance, is .01, the null hypothesis h0 is mu = 50, and the alternative hypothesis H1 is mu is not equal to 50. The critical values of t are +/- ___ , ____.

  • in a sample of n = 25 selected from a normal population, X = 51 and...

    in a sample of n = 25 selected from a normal population, X = 51 and S = 5. you are testing the hypothesis Ho: u = 50, using the level of significance a = 0.01 a. what are the critical values from the t table if the alternitive hypothesis, H1, is u =/= 50 b. what are the critical values from the t table if the alterntivie hypothesis, H1, is u > 50

  • If, in a sample of n = 16 selected from a normal population, X = 53...

    If, in a sample of n = 16 selected from a normal population, X = 53 and S = 12, what are the critical values of t if the level of significance, a, is 0.01, the null hypothesis, Ho, is u = 50, and the alternative hypothesis, Hy, is u #50? Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution, The...

  • in a sample of n = 30 selected from a normal population, X=57 and S=20, what...

    in a sample of n = 30 selected from a normal population, X=57 and S=20, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Hois - 50, and the alternative hypothesis, Hy is 750? Click here to view page 1 of the table of the critical values of Click here to view page 2 of the table of the critical values of Determine the critical value(s) The critical value(s) is (are) (Round to...

  • A sample of 51 observations is selected from a normal population. The sample mean is 32,...

    A sample of 51 observations is selected from a normal population. The sample mean is 32, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level: H0: μ ≤ 30 H1: μ > 30 a. Is this a one- or two-tailed test? (Click to select)  One-tailed test  Two-tailed test b. What is the decision rule? Reject H0 when z             (Click to select)  ≤ 1.64  > 1.64  . c. What is the value of the test statistic?...

  • The observations from a random sample of n = 6 from a normal population are: 13.15,...

    The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...

  • A sample of 36 observations is selected from a normal population. The sample mean is 49,...

    A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 50 H1: μ ≠ 50 Q. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)

  • A sample of 45 observations is selected from a normal population. The sample mean is 49,...

    A sample of 45 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ = 51 H1: μ ≠ 51 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 if −1.645 < z < 1.645 Reject H0 if z < −1.645 or z > 1.645 What is the value...

  • A sample of 35 observations is selected from a normal population. The sample mean is 20,...

    A sample of 35 observations is selected from a normal population. The sample mean is 20, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 19 H1: μ > 19 What is the value of the test statistic? (Round your answer to 2 decimal places.) What is the p-value? (Round your answer to 4 decimal places.) e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT