Use the following to answer questions 1 and 2. Consider the hypothesis test H0: µ ≥ 65, Ha: µ < 65. From a sample of 15 observations, the sample mean was 63 and the sample standard deviation was 4. Use level of significance 0.01. Compute the test statistic. Give your answer to 2 decimal places.
Use the following to answer questions 1 and 2. Consider the hypothesis test H0: µ ≥...
4. It is desired to test H0 : µ = 20 Vs H1 : µ < 20, on the basis of a random sample of size 64 from normal distribution with population standard deviation σ = 2.4. The sample mean and sample standard deviation are found to be 19.5 and 2.5, respectively. (a) Test the hypothesis at α = 0.05. Compute the test statistics, critial regions, and perform the test. Will the result be difference if α is changed to...
We run a hypothesis test with H0 : µ = 40 against H1 : µ > 40 at the 5% level of significance and find a test statistic of -1.88. If we used a sample of 22 with the population standard deviation, then give the critical value and decide if you accept or reject H0.
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 following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 47 provided a sample mean of 26.9. The sample standard deviation is 6 and the test statistic is 2.171 Determine the p-value for the given test statistic in this problem. Round your answer to three decimal places.
Consider the following hypothesis test: Ho: µS 12 Ha: µ > 12 A sample of 25 provided a sample mean 14 and a sample standard deviation s= = 4.32. a. Compute the value of the test statistic (to 2 decimals). 2.31 b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is less than .005 Answer the next three questions using the critical value approach. C. Using a = 0.05,...
Consider the following hypothesis test: H_0: µ >= 80 H_a: µ < 80 A sample of size 100 provided a sample mean of 78.5. The population standard deviation is 12. a) Compute the value of the test statistic b) What is the associated p-value? c) Using α = 0.01, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
Consider the following hypothesis test: H_0: µ <= 50 H_a: µ > 50 A sample of size 60 provided a sample mean of 51.8. The population standard deviation is 8. a) Compute the value of the test statistic, rounding all calculations to 2 decimal places. b) What is the associated p-value? c) Using α = 0.05, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
Consider the following hypothesis test: H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.17. The population standard deviation is 4. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using α = .05, can it be concluded that the population mean is not equal to 15? Answer the next three questions using the critical value approach. d. Using α =...
The following hypotheses are given. H0 : π ≤ 0.83 H1 : π > 0.83 A sample of 100 observations revealed that p = 0.87. At the 0.10 significance level, can the null hypothesis be rejected? State the decision rule. (Round your answer to 2 decimal places.) Compute the value of the test statistic. (Round your answer to 2 decimal places.) What is your decision regarding the null hypothesis? Do not reject H0. Reject H0. question 2: The number of...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 80 Ha: μ < 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. x = 83.5 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to...