Test a hypothesis
H0: μ=50;
H1: m≠50
at α=0.10. Given σ=2.5 and a sample of size 30 was taken and the sample means X-bar=47.5.
You can use P-value to test or find zα/2 to do the test.
Test a hypothesis H0: μ=50; H1: m≠50 at α=0.10. Given σ=2.5 and a sample of size...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. (aa.) If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
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...
A researcher is interested in testing the hypothesis H0 : μ = 8 vs H1 : μ > 8, using a sample of size 81. The population standard deviation is known to be σ = 5. The researcher decides to reject H0 if X ≥ 9. What is the significance level of this hypothesis test? Assume that the population is normal. Express your answer as a decimal (not as a percentage).
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
10-13.. Consider the hypothesis test H0 : μι Ma against , : μ.< μ2. Suppose that sample sizes n-15 and n-15, that 7.2 and x2-7.9, and that si 4 and s 6.25. Assume that σ-σ and that the data are drawn from normal distribu- tions. Use α 0.05 (a) Test the hypothesis and find the P-value (b) Explain how the test could be conducted with a confidence interval. than μ2? be used to obtain B 0.05 if u, is 2.5...
To test H0:μ=20 versus H1;μ=less than 20, a simple random sample of size n=16 is obtained from a population that is known to be normally distributed.. If x-bar=18.1 and s=4.2, compute the test statistic.
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...
(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
To test H0: σ = 40 versus H1: σ < 40, a random sample of size n=27 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 28.8, compute the test statistic (b) if the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis?