Based on the appropriate statistical test, what would be your conclusion?
Added by Robert C.
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However, I can outline a general approach to determining the appropriate statistical test and drawing a conclusion. Show more…
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t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 38 43.3 Variance 52.44444 149.3444 Observations 10 10 Pearson Correlation 0.728184 Hypothesized Mean Difference 0 df 9 t Stat -1.96296 P(T<=t) one-tail 0.040628 t Critical one-tail 1.833113 P(T<=t) two-tail 0.081256 t Critical two-tail 2.262157 Based on the result what conclusion can we draw?
Ivan K.
To test the hypothesis that the population mean mu>14.0, a sample size n=13 yields a sample mean 14.848 and sample standard deviation 1.417. Calculate the P-value and choose the correct conclusion. Your answer: The P-value 0.317 is not significant and so does not strongly suggest that mu>14.0. The P-value 0.317 is significant and so strongly suggests that mu>14.0. The P-value 0.029 is not significant and so does not strongly suggest that mu>14.0. The P-value 0.029 is significant and so strongly suggests that mu>14.0. The P-value 0.014 is not significant and so does not strongly suggest that mu>14.0. The P-value 0.014 is significant and so strongly suggests that mu>14.0. The P-value 0.026 is not significant and so does not strongly suggest that mu>14.0. The P-value 0.026 is significant and so strongly suggests that mu>14.0. The P-value 0.249 is not significant and so does not strongly suggest that mu>14.0. The P-value 0.249 is significant and so strongly suggests that mu>14.0.
Madhur L.
Find the sample test statistic (Use 3 decimal places) (d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. < P-value < Conclude the test. At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. Interpret your conclusion in the context of the application. Fail to reject the null hypothesis, there is sufficient evidence that a monotonic increasing relationship exists between the training program and the job. Fail to reject the null hypothesis, there is insufficient evidence that a monotonic increasing relationship exists between the training program and the job. Reject the null hypothesis, there is sufficient evidence that a monotonic increasing relationship exists between the training program and the job. Reject the null hypothesis, there is insufficient evidence that a monotonic increasing relationship exists between the training program and the job.
Sri K.
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Introductory Statistics
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