Are the motivation scores of Japanese managers different from those of American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below.
Japanese |
American |
|
Sample Size |
10 (n1) |
10 (n2) |
Sample Mean SSATL Score |
65(X1bar) |
85(X2bar) |
Sample Std. Dev. |
20(s1) |
20(s2) |
The goal of the study is to determine if the population mean SSATL score for the Japanese is different from the Americans' mean SSATL score. Assuming 5% level of significance (α)and a pooled variance test, please answer the following questions.
1. State your null and alternate hypotheses:
2. What is the value of the test statistic? Please show all the relevant calculations.
3. What are the rejection criteria based on critical value approach?
4. What is the Statistical decision (i.e. reject /or do not reject the null hypothesis)? Please also show the justification for your decision.
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