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...
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.
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...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
#3 Given the following hypotheses: H0: μ = 520 H1: μ ≠ 520 A random sample of 18 observations is selected from a normal population. The sample mean was 529 and the sample standard deviation was 5. Using the 0.01 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision...
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=37, n = 31, σ=9, H0 : μ=39, Ha: μ<39 EB Click here to view a partial table of areas under the standard normal curve. The test statistic is z- (Round to two decimal places as needed.)