*Show ALL work, answer is given already*
Solution,
degrees of freedom = n - 1 = 12 - 1 = 11
This is left tailed test,
a) Test statistic = 2.05
P(t < 2.05 )
P-value = 0.9675
b) Test statistic = -1.84
P(t < -1.84 )
P-value = 0.0464
c) Test statistic = 0.4
P(t < 0.4 )
P-value = 0.6516
*Show ALL work, answer is given already* 3) For the hypothesis test Ho: u = 5...
3) For the hypothesis test H0: μ = 5 against H1: μ < 5 with variance unknown and n = 12, approximate the P-value for each of the following test statistics. a) t0 = 2.05 b) t0 = −1.84 c) t0 = 0.4 EXPECTED ANSWERS: a) 0.95 ≤ p ≤ 0.975 b) 0.025 ≤ p ≤ 0.05 c) 0.6 ≤ p ≤ 0.75
For the hypothesis test Ho: μ-5 against Hi : μ < 5 and variance known, calculate the P-value for each of the following test statistics. (a) Zo 2.05 (b) zo-1.84 (czo 0.4 For the hypothesis test Ho: μ-5 against Hi : μ
Consider a hypothesis test (Ho: u = 10 vs H,:u > 10) on mean of a normal population with variance known at significance level a = 0.05. Calculate P-value for each of the following test statistics and draw conclusion on whether to reject the null hypothesis. (a) zo = 2.05 (b) zo = -1.84 = 0.4 (c) zo
QUESTION 1 For the hypothesis test HO mu<-5 against H1: mu >5 with variance unknown and ne11, find the best approximation for the P-value for the test statistic t0=1.945. 0.25 Sp S 0.50 O 0.10 5p 30.25 0.010 SP S 0.025 0.025 SP S 0.050 0.0025 SP 50.0050
*Show ALL work, answer is given already* 2) A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value (Z a/2) for the test statistic T. for the following significance levels? a = 0.01 and n = 20 critical value > 2.539 a = 0.05 and n = 12 critical value > 1.796 a = 0.10 and n =...
Assume that the population variance is unknown. We test the hypothesis that Ho: µ=5 against the alternative that it is not at a level of significance of 5% and a sample size of n=151. We calculate a test statistic = -1.976. The p-value of this hypothesis test is approximately ? . (Write your answer out to two decimal places. In other words, write 5% as 0.05.)
2. A hypothesis will be used to test u = 7 against the alternative u = 7 with unknown population variance (i.e. o2 unknown). What are the critical values for the test statistic To when using the critical value/rejection region method and the following significance levels and sample sizes? (a) a = 0.01 and n = 20 (b) a = 0.05 and n = 12 (c) a= 0.10 and n = 15
In a test of the hypothesis Ho: u = 59 versus Ha: u>59, a sample of n = 100 observations possessed mean x = 58.5 and standard deviation s = 3.8. Find and interpret the p-value for this test. The p-value for this test is (Round to three decimal places as needed.)
Given a simple random sample size of 18, test the null hypothesis Ho: u = 10.5 against the alternative H1:u > 10.5. The one-sample t-statistic has been calculated to be t = 1.176. Use software to compute the P-value of this statistic. Give your answer as a decimal rounded to three places. This list of software manuals contains instructions on how to compute a P-value with the technology you are using. P-value
Consider the hypothesis test Ho : H1 = H2 against H1 : HI # Hz with known variances oj = 1 1 and oz = 4. Suppose that sample sizes ni = 11 and n2 = 16 and that X = 4,7 and X2 = 7.9. Use a = 0.05. Question 1 of 1 < > -/1 View Policies Current Attempt in Progress Consider the hypothesis test Ho: M1 = H2 against H: MM with known variances o = 11...