Question

We test the null hypothesis H0: μ = 10 and the alternative Ha: μ ≠ 10...

We test the null hypothesis H0: μ = 10 and the alternative Ha: μ ≠ 10 for a Normal population with σ = 4. A random sample of 16 observations is drawn from the population and we find the sample mean of these observations is = 12. The P-value is CLOSEST to: A. 0.9772. B. 0.0456. C. 0.0228. D. 0.6170.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
We test the null hypothesis H0: μ = 10 and the alternative Ha: μ ≠ 10...
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
  • Suppose we are testing the null hypothesis Ho: mu = 20 and the alternative Ha: mu...

    Suppose we are testing the null hypothesis Ho: mu = 20 and the alternative Ha: mu does not equal 20, for a normal population with sigma = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is X bar = 17.6. The P-value is closest to (A) 0.0164 (B) 0.0668 (C) 0.1336 (D) 0.0082

  • Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25...

    Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.72. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? ii) the 5% level of significance?

  • Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25...

    Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.71. a) What is the value of the test statistic? Round your response to at least 3 decimal places.     b) What is the appropriate p-value? Round your response to at least 3 decimal places.     c) Is the null hypothesis rejected at: i) the 10% level of significance?      NoYesClick for List   ii) the...

  • Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ<3.3, based on a random sample of 25...

    Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ<3.3, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3.1 and σ=0.68. a) What is the value of the test statistic? Round your response to at least 3 decimal places.     b) What is the appropriate p-value? Round your response to at least 3 decimal places.     c) Is the null hypothesis rejected at: i) the 10% level of significance?      NoYesClick for List   ii) the...

  • 7. For any hypothesis test: b) Write down the appropriate alternative hypotheses and give the formula for the each test statistic, if any, for the following null hypothesis testing population normall...

    7. For any hypothesis test: b) Write down the appropriate alternative hypotheses and give the formula for the each test statistic, if any, for the following null hypothesis testing population normally distributed population not normal population not normal population not normal population normal population normal population not normal () Ho: So n 80, s 29 (iii) Ho: μ-Ha n-15, σ-25 (iv) Ho: μ=Ha n= 15, s = 36 (v) Ho: μ>Ha n= 10, σ = 16 (vi) H0'μ Han-60, σ-81...

  • You are conducting a t-test to assess the null hypothesis H0: μ = 50 against the...

    You are conducting a t-test to assess the null hypothesis H0: μ = 50 against the two-sided alternative. You collect a random sample of n=25 observations. The sample has a mean of 55 and a standard deviation of 10. How many degrees of freedom does the test have? Assume the underlying distribution is normal.

  • Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size...

    Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...

  • In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations...

    In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations possessed mean overbar x=10.6 and standard deviation s=2.6 Find and interpret the​ p-value for this test The​ p-value for this test is __________. (Round to four decimal places as​ needed.) Interpret the result. Choose the correct answer below. A. There is sufficient evidence to reject H0 for α > 0.11. B.There is insufficient evidence to reject H0 for α=0.15. C.There is sufficient evidence to...

  • Your research supervisor wants you to test the null hypothesis H0: μ = 25 against the...

    Your research supervisor wants you to test the null hypothesis H0: μ = 25 against the one-sided alternative hypothesis Ha: μ < 25. The population has a normal distribution with a variance of 16. You are told to use a sample size of 100 and a rejection region of  . State the probability of a Type II error for this test of significance to four digits to the right of the decimal point under the alternative hypothesis that  μ = 24.

  • For the situation described below, state the null hypothesis, H0, and the alternative hypothesis, Ha, to...

    For the situation described below, state the null hypothesis, H0, and the alternative hypothesis, Ha, to be tested. (Enter != for ≠ as needed.) A statistical test is designed to show that the mean μ is different from 140. H0: Ha:

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