For the hypothesis test H0: μ = 10 against H1: μ > 10 and variance known, calculate the P-value for each of the following test statistics.
(a) z0 = 2.15,
(b) z0 = -1.75
We have given,
Right tailed test.
(a) P value =0.0158............by using Z table or Excel =1-NORMSDIST(2.15)
(b) P value =0.9599..............by using =1-NORMSDIST(-1.75)
For the hypothesis test H0: μ = 10 against H1: μ > 10 and variance known,...
For the hypothesis test H0: µ = 10 against H1: µ > 10 with variance known and n = 15, find the P-value for each of the following values of test statistic. (1) z0 = - 2.05 and (2) z0 = 1.84
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
For the hypothesis test H0: µ = 10 against H1: µ < 10 with variance unknown and n = 20, let the value of the test statistic be t0 = 1.25. Find the approximate the P-value.
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ >9.7 Then the test is: left-tailed two-tailed right-tailed (b) If you conduct a hypothesis test at the 0.02 significance level and calculate a P-value of 0.07, then what should your decision be? Fail to reject H0 Reject H0 Not enough information is given to make a decision
You need to test H0: μ=10 against H1: μ>10. The test statistic was found to be, Ztest=1.72. The P value of the test should be: 0.0427 0.9573 0.0854 You need to test H0: μ=100 against H1: μ<100. The P value of the test was found to be 0.0001. A possible 95% confidence interval is: -∞, 99.5 -∞, 78.6 110.3, ∞ A 95% upper confidence interval for the tensile strength of 0.05 millimeter (mm) Sisal fiber in Megapascals...
Part A: Hypothesis Testing on the Mean-Variance Known Implement the following one-sided upper hypothesis test: H0: μ = -0.66 H1: μ > -0.66 The data values for this test are below: -0.12 -1.52 -1.00 2.28 -1.21 0.74 -2.46 -2.65 -1.26 0.28 2.91 -2.36 -2.35 0.69 0.64 3.26 The number of values is 16. The population standard deviation is σ = 1.70. What is the P-value for this test?
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 > μ2 with known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and n2=15 and that x-bar1 = 24.5 and x-bar2 = 21.3. Use alpha = .01. Determine the confidence interval. a) =0 b) ≥2.78 c) ≥3.04 d) ≥-4.74
Given the following hypothesis: H0 : μ ≤ 12 H1 : μ > 12 For a random sample of 10 observations, the sample mean was 14 and the sample standard deviation 4.80. Using the .05 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) (Click to select)Cannot rejectReject H0 if t > (b) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic (c)...
Consider the hypothesis test H0:μ1=μ2 against H1:μ1<μ2 with known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and n2=15 and that x¯1=14.2 and x¯2=19.7. Use α=0.05. Font Paragraph Styles Chapter 10 Section 1 Additional Problem 1 Consider the hypothesis test Ho : = 12 against HI : <H2 with known variances = 10 and 2 = 5. Suppose that sample sizes nj = 10 and 12 = 15 and that I = 14.2 and 72 = 19.7. Use a...