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. 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 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.
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From the given information, we have: Population 1 (females): - Sample mean: 99,210 - Sample standard deviation: 13,565 Population 2 (males): - Sample mean: 105,820 - Sample standard deviation: 41,741 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 below: Hypothesized Difference: 0 Level of Significance: 0.05 Population 1 Sample: Sample Size: 18 Sample Mean: 99,210 Sample Standard Deviation: 13,577 Population 2 Sample: Sample Size: 12 Sample Mean: 105,820 Sample Standard Deviation: 11,741 Difference in Sample Means: -6,610 t Test Statistic: -1.37631 Lower-Tail Test: Lower Critical Value: -1.70113 p-Value: 0.089816 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 the following is an appropriate alternative hypothesis? H1: μfemales ≠μmales H1: μfemales = μmales H1: μfemales > μmales H1: μfemales < μmales Referring to the table in the previous question, suppose α = 0.05. Which of the following represents the result of the relevant hypothesis test? - The null hypothesis is not rejected. - The null hypothesis is rejected. - The alternative hypothesis is rejected. - Insufficient information exists on which to make a decision.
Sheryl E.
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.
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