Question

Use the data to calculate the sample variance, s. (Round your answer to five decimal places.) n = 10: 19.0, 9.7, 11.9, 8.8, 10.4, 8.8, 7.1, 12.3, 15.1, 12.6 Construct a 95% confidence interval for the population variance, oʻ. (Round your answers to two decimal places.) x to Test Ho: 02.9 versus H,:o? > 9 using a = 0.05. State the test statistic (Round your answer to two decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to four decimal places) State the conclusion Mi is not rejected. There is sufficient evidence to indicate that the population variance is greater than 9. Mois rejected. There is insufficient evidence to indicate that the population variance is greater than 9. Hy is not rejected. There is insufficient evidence to indicate that the population variance is greater than 9. OH is rejected. There is sufficient evidence to indicate that the population variance is greater than 9. You may need to use the appropriate appendix table or technology to answer this question

Answer 1

from given data, n=10 (0) $? 12.17344 Chu using calculator) (6) 95% confidence interval for 2 The critical values for x=0.05df-n-1 = 10-1=g X * = x2 df = Nēgas, 9 = 2.7004 Xị : x26, df. Voors, 9. 19.0228 0. Sc1o-D (12.17344) 19.0228 (10-1) C12.17344 2.7004 (I = 5.7595 < 0² ( 40.5723 5.76 < p ? < 40.57

o Test Ho: 8² = 9 vs Ho: 0²9 Test statistics 7? (N-1382 72. CIO-1) 12.17344 22. 12.173 Rejection region X? > 16.919 x² < NA (A+ =0.05, dfin-1-9) from ²-tabie sincet 72, 16919, 2 Ho is not rejected. There is insufficient evidence to indicate that the population variance is greater than 9