A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. From the analysis, what is the correct test statistic? Round to four decimal places as needed. A. - 1.7011 B. - 1.3763 C. - 6610 D. 0.0898 Results table Hypothesized Difference: 0 Level of Significance: 0.05 Population 1 Sample Sample Size: 18 Sample Mean: 99210 Sample Standard Deviation: 13577 Population 2 Sample Sample Size: 12 Sample Mean: 105820 Sample Standard Deviation: 11741 Difference in Sample Means: - 6610 t Test Statistic: - 1.37631 Lower-Tail Test Lower Critical Value: - 1.70113 p-Value: 0.089816
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The test statistic is a value that is calculated from the sample data and is used to determine whether to reject the null hypothesis. In the context of a t-test, the test statistic reflects how much the sample means differ relative to the variation in the sample Show more…
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A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. From the analysis, what is the correct test statistic? Round to four decimal places as needed. A. -1.7011 B. -1.3763 C. -6610 D. 0.0898
David N.
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of these is an appropriate alternative hypothesis? Table: Hypothesized Difference: 0 Level of Significance: 0.05 Population 1 Sample: - Sample Size: 18 - Sample Mean: 99210 - Sample Standard Deviation: 13577 Population 2 Sample: - Sample Size: 12 - Sample Mean: 105820 - Sample Standard Deviation: 11741 Difference in Sample Means: -6610 t Test Statistic: -1.37631 Lower-Tail Test - Lower Critical Value: -1.70113 - p-Value: 0.089816 A. H1: μfemales ≠ μmales B. H1: μfemales = μmales C. H1: μfemales < μmales D. H1: μfemales > μmales
T. L.
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below: The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. From the analysis in Table 10-2, the correct test statistic is -6610. 0.0898. -1.7011. -1.3763.
Adi S.
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