a)
| Test statistic =s12/s22 = | 2.39 | |
| P value = | 0.0469 (or 0.025 < p value <0.05) |
b)
reject Ho if F is greater than 2.35
we can conclude that population 1,,,,,,,,,,,,
A sample of 16 items from population 1 has a sample variance s = 5.5 and...
A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a - .o5. Ho : σ 2 < 50 Ha : σ 2 > 50 a. Calculate the value of the test statistic (to 2 decimals). 2.85 The p-value is between .025 and .05 What is your conclusion? Conclude that the population variance is greater than 50 b. Repeat the hypothesis test using the critical value approach. Round critical value to 3 decimal...
A sample of 14 items provides a sample standard deviation of 3.8. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Ho : o2 < 30 Hq : 02 > 30 Test statistic = (to 2 decimals) p-value low from table = (to 3 decimals). Use Table 11.1. p-value high from table = (to 3 decimals). Use Table 11.1. Xổ.05 = (to 3 decimals) Reject Ho if...
A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a 0.05. What is your conclusion? Ho: o s 50 H,:o? > 50 Use the p-value approach. Find the value of the test statistic. 27.075 Find the p-value. (Round your answer to three decimal places.) p-value = 0.028 State your conclusion O Reject No. We conclude that the population variance is greater than 50 Do not reject No. We conclude that the population...
A sample of 19 items provides a sample standard deviation of 5.4. Test the following hypotheses using α = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach.H₀: σ² ≤ 65 Hα: σ²>65Test statistic = _______ (to 2 decimals) p-value low from table = _______ (to 3 decimals). Use Table 11.1. p-value high from table = _______ (to 3 decimals). Use Table 11.1. X0.052 = _______ Reject H0 if χ2 ≥ _______ . (to 3 decimals)
Consider the following hypothesis test. a. What is your conclusion if n 1-21, s 1 2-87, n 2 26, and s 2 2 4? Use α-05 and the p-value approach. Calculate the value of the test statistic (to 2 decimals). 2.05 3 The p-value is between .02 and.05 What is your conclusion? Cannot conclude that the two population variances are different b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round...
6. Testing a population mean, Methods (Exercise 9.23 eBook Consider the following hypothesis test: Ho: ? 12 Ha: ? > 12 A sample of 25 provided a sample mean T -14 and a sample standard deviation s 4.32. a. Compute the value of the test statistic (to 2 decimals). b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is Select Answer the next three questions using the critical value...
Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.8. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign. b. What is the p-value (to 3 decimals)? c. Using = .05, can it be concluded that the population mean is less than 20? d. Using = .05, what is the critical...
Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 55 provided a sample mean of 19.6. The population standard deviation is 1.6. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign. b. What is the p-value (to 3 decimals)? c. Using = .05, can it be concluded that the population mean is less than 20? d. Using = .05, what is the critical...
Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population standard deviation is 2. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign. b. What is the p-value (to 3 decimals)? c. Using = .05, can it be concluded that the population mean is less than 20? SelectYesNoItem 3 d. Using = .05, what is the critical value for...
H 0: = 17 H a: 17 A sample of 40 provided a sample mean of 14.18. The population standard deviation is 4. a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus “-“ sign.) b. What is the p-value (to 4 decimals)? c. Using = .05, can it be concluded that the population mean is not equal to 17? (Please explain for this one) Answer the next three questions using the critical...