Question

A random sample of n = 10 observations from a normal population produced x = 47.8...

A random sample of n = 10 observations from a normal population produced x = 47.8 and s2 = 4.3. Test the hypothesis H0: μ = 48 against Ha: μ ≠ 48 at the 5% level of significance.

State the test statistic. (Round your answer to three decimal places.) t =

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

t >

t <

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

Test statistic = t

= ( - ) / s / n

= (47.8 - 48) / sqrt 4.3 / 10

t = -0.305

Test statistic = -0.305

n = 10

df = 9

t > 2.262

t <-2.262

Add a comment
Know the answer?
Add Answer to:
A random sample of n = 10 observations from a normal population produced x = 47.8...
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
  • A random sample of n = 1,000 observations from a binomial population contained 337 successes. You...

    A random sample of n = 1,000 observations from a binomial population contained 337 successes. You wish to show that p < 0.35. Given: H0: p = 0.35 versus Ha: p < 0.35 Solve: Calculate the appropriate test statistic. (Round your answer to two decimal places.) z =?? Provide an α = 0.05 rejection region. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused region.) z> ?? z<??

  • 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 37 observations is selected from a normal population. The sample mean is 21,...

    A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ ≤ 20 H1: μ > 20 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 when z > 2.054 Reject H0 when z ≤ 2.054 What is the value of the test statistic? (Round your...

  • A sample of 37 observations is selected from a normal population. The sample mean is 29,...

    A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.    H0 : μ ≤ 26 H1 : μ > 26 a. Is this a one- or two-tailed test? "One-tailed"-the alternate hypothesis is greater than direction. "Two-tailed"-the alternate hypothesis is different from direction. b. What is the decision rule? (Round your answer to 3 decimal places.)...

  • A sample of 35 observations is selected from a normal population. The sample mean is 26,...

    A sample of 35 observations is selected from a normal population. The sample mean is 26, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 25 H1 : μ > 25 A.) Is this a one- or two-tailed test? "Two-tailed"-the alternate hypothesis is different from direction. "One-tailed"-the alternate hypothesis is greater than direction B.) What is the decision rule? (Round your answer to 3 decimal places.) H0,...

  • A sample of 64 observations is selected from a normal population. The sample mean is 215,...

    A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is the value of the...

  • A sample of 71 observations is selected from a normal population. The sample mean is 24,...

    A sample of 71 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 23 H1 : μ > 23 a. Is this a one- or two-tailed test? (Click to select)  One-tailed test  Two-tailed test b. What is the decision rule? (Round the final answer to 3 decimal places.) (Click to select)  Reject  Accept  H0 and  (Click to select)  accept  reject  H1 when z >  ....

  • A sample of 39 observations is selected from a normal population. The sample mean is 43,...

    A sample of 39 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ = 45 H1: μ ≠ 45 Is this a one- or two-tailed test? One-tailed test Two-tailed test What is the decision rule? Reject H0 if −2.326 < z < 2.326 Reject H0 if z < −2.326 or z > 2.326 What is the value...

  • A sample of 38 observations is selected from a normal population. The sample mean is 47,...

    A sample of 38 observations is selected from a normal population. The sample mean is 47, and the population standard deviation is 7. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 48; H1: μ ≠ 48      (20 pts) Is this a one- or two-tailed test What is the decision rule? What is the value of the test statistic? What is your decision regarding H0?

  • Independent random samples of 180 observations were randomly selected from binomial populations 1 and 2, respectively....

    Independent random samples of 180 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 104 successes, and sample 2 had 113 successes. Suppose that, for practical reasons, you know that p1 cannot be larger than p2. Test the appropriate hypothesis using α = 0.10. Given: H0: (p1 − p2) = 0 versus Ha: (p1 − p2) < 0 Solve: Find the test statistic. (Round your answer to two decimal places.) z = ?? Find the...

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
ADVERTISEMENT