Questions 1)For a test of H0 : μ = μ0 vs. H1 : μ ≠ μ0,...

Questions

1)For a test of

H₀ : μ = μ₀

vs.

H₁ : μ ≠ μ₀,

the value of the test statistic z _obs is -1.34. What is the p-value of the hypothesis test?

2)For a test of

H₀ : μ = μ₀

vs.

H₁ : μ > μ₀,

assume that the test statistic follows a t-distribution with 11 degrees of freedom. What is the critical value of the test if a 1% significance level is desired?

3)For a particular scenario, we wish to test the hypothesis H₀ : μ = 11.8. For a sample of size 33, the sample mean X̄ is 9.4. The population standard deviation σ is known to be 6.2. Compute the value of the test statistic z_obs.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A test of the null hypothesis H0: μ = μ0 gives test statistic z = −0.45....

A test of the null hypothesis H0: μ = μ0 gives test statistic z = −0.45. (Round your answers to four decimal places.) (a) What is the P-value if the alternative is Ha: μ > μ0? (b) What is the P-value if the alternative is Ha: μ < μ0? (c) What is the P-value if the alternative is Ha: μ ≠ μ0?

Part 1 A, You are testing H0: μ=100 vs H1: μ>100 , using a sample of...

Part 1 A, You are testing H0: μ=100 vs H1: μ>100 , using a sample of n=20 . The test statistic is ttest=2.15 . The P value should be: 0.02232 0.97768 0.02198 B. You are testing H0: μ=15 vs H1: μ≠15 , using a sample of n=8 . The 95% t Confidence Interval for μ is 17, 23 . The P value of the test could be: 0.9750 0.0500 0.0002 C. You are testing H0: μ=50 vs H1: μ<50 ,...

A test of H0: μ = 60 versus H1: μ ≠ 60 is performed using a...

A test of H0: μ = 60 versus H1: μ ≠ 60 is performed using a significance level of 0.01. The p-value is 0.033. If the true value of μ is 53, does the conclusion result in a Type I error, a Type II error, or a correct decision? a- Type II error b-Type I error c- Correct decision d-

A test is made of H0: μ = 62 versus H1: μ > 62. A sample...

A test is made of H0: μ = 62 versus H1: μ > 62. A sample of size n = 79 is drawn, and 17) x = 68. The population standard deviation is σ = 23. Compute the value of the test statistic z and determine if H0 is rejected at the α = 0.01 level. A)0.26, H0 not rejected B) 0.26, H0 rejected C) 2.32, H0 not rejected D) 2.32, H0 rejected

Using TI-83 Only Please Show Step By Step 1.We test the hypothesis H0 :μ=239 vs. H1...

Using TI-83 Only Please Show Step By Step 1.We test the hypothesis H0 :μ=239 vs. H1 :μ>239 and did not reject H0 for α = 0.10. If μ actually equals to 111, did we make a Type I error, Type II error or correct decision regarding H1? 2.We test the hypothesis H0 :p=0.85 vs. H1 :p>0.85 and did not reject H0 for α=0.01. If we change α to 0.05, will we reject H0? 3.We test the hypothesis H0 :μ=799 vs....

1. H0:μ=45.7 H0:μ=45.7 H1:μ<45.7 H1:μ<45.7 Your sample consists of 389 subjects, with a mean of 44...

1. H0:μ=45.7 H0:μ=45.7 H1:μ<45.7 H1:μ<45.7 Your sample consists of 389 subjects, with a mean of 44 and standard deviation of 3.96. Calculate the test statistic, rounded to 2 decimal places. z= 2. You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 77%. With H1 : p ≠≠ 77% you obtain a test statistic of z=−1.301z=-1.301. Find the p-value accurate to 4 decimal places. p-value...

5. For a test of H0 : p = p0 vs. H1 : p < p0,...

5. For a test of H0 : p = p0 vs. H1 : p < p0, the value of the test statistic z obs is -1.87. What is the p-value of the hypothesis test? (Express your answer as a decimal rounded to three decimal places.) 6. A pilot survey reveals that a certain population proportion p is likely close to 0.56. For a more thorough follow-up survey, it is desired for the margin of error to be no more than...

Question 1: Test the following hypothesis: H0:μ = 41.8 versus H1:μ > 41.8; y =43.1, n...

Question 1: Test the following hypothesis: H0:μ = 41.8 versus H1:μ > 41.8; y =43.1, n =16, σ = 3.1, α =0.05. Assume that the data comes from a normal distribution. The conclusion is to - reject the null hypothesis - fail to reject the null hypothesis Question 2: (not for forum discussion) Test the following hypothesis: H0:μ = 41.8 versus H1:μ ≠ 41.8; y =43.1, n =16, σ = 3.1, α =0.05. Assume that the data comes from a...

Perform t-test on eRPM for Strategy A and B. H0: A = B vs. H1: A...

Perform t-test on eRPM for Strategy A and B. H0: A = B vs. H1: A != B (Two-sided t-test) What is the p-value? Strategy Date eRPM A 1-Jun-14 3.33 A 2-Jun-14 2.94 A 3-Jun-14 3.03 A 4-Jun-14 2.99 A 5-Jun-14 3.08 A 6-Jun-14 3.14 A 7-Jun-14 3.32 A 8-Jun-14 3.27 A 9-Jun-14 3.15 A 10-Jun-14 3.24 A 11-Jun-14 3.2 A 12-Jun-14 3.21 A 13-Jun-14 3.25 A 14-Jun-14 3.48 A 15-Jun-14 3.47 A 16-Jun-14 3.25 A 17-Jun-14 3.32 A 18-Jun-14...

Perform t-test on eRPM for strategy A and B. H0: A = B vs. H1: A...

Perform t-test on eRPM for strategy A and B. H0: A = B vs. H1: A != B (Two-sided t-test) What is the p-value? Strategy Date eRPM A 15-Jun-14 3.47 A 16-Jun-14 3.25 A 17-Jun-14 3.32 A 18-Jun-14 3.46 A 19-Jun-14 3.58 A 20-Jun-14 3.48 A 21-Jun-14 3.48 A 22-Jun-14 3.46 A 23-Jun-14 3.34 A 24-Jun-14 3.33 A 25-Jun-14 3.37 A 26-Jun-14 3.53 A 27-Jun-14 3.67 A 28-Jun-14 3.83 A 29-Jun-14 3.78 A 30-Jun-14 3.48 B 15-Jun-14 3.34 B 16-Jun-14...

Subjects