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. H0: μ ≤ 25 Ha: μ > 25 A sample 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 <...
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 =...
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 = 4.32. (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. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...
In a test of the hypothesis H0: μ=48 versus Ha: μ>48, a sample of n =100observations possessed mean X̄ =47.4 and standard deviation s=4.6. The p-value for this test is .902 Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.(Round to three decimal places as needed.) A) The probability (assuming that Ha is true) of observing a value of the test statistic that is at most as contradictory to the null...
Consider the following hypothesis test: H0: μ = 18 Ha: μ ≠ 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.9. a. Compute the value of the test statistic (to three decimal places.) b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. (to two decimal places) p-value is between is c. At α = .05, what is your conclusion? p-value...
Consider the following hypothesis test: H0: μ = 18 Ha: μ ≠ 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.7. a. Compute the value of the test statistic (to three decimal places.) b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. (to two decimal places) p-value is between ___________ is __________ c. At α = .05, what is your...
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...
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...
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...
Consider the following hypotheses: H0: μ ≤ 63.4 HA: μ > 63.4 A sample of 26 observations yields a sample mean of 64.6. Assume that the sample is drawn from a normal population with a known population standard deviation of 4.0. What is the value of the test statistic? Round your answer to 2 decimal places.