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A business school would like to know that whether the average number of years of work experience of MBA applicants is less than 3 years. Based on last year's applicants, it was found that among a sample of 47, the average number of years of work experience is 2.57 with a standard deviation of 3.67. Apply t-test to analyze the sample and draw a conclusion about the years of work experience of MBA applicants.g

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Answer:

The test statistic t of the sample is -0.804.

There is sufficient evidence to ascertain that the average number of years of work experience of MBA applicants is less than 3 years.

Explanation:

Null hypothesis: The average number of years of work experience of MBA applicants is 3 years.

Alternate hypothesis: The average number of yet of work experience of MBA applicants is less than 3 years.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 2.57

population mean = 3

sd = 3.67

n = 47

t = (2.57 - 3) ÷ 3.67/√47 = -0.43 ÷ 0.535 = -0.804

Assuming a 5% significance level

degree of freedom = n - 1 = 47 - 1 = 46

The critical value corresponding to 46 degrees of freedom and 5% significance level is 2.013.

Conclusion:

Reject the null hypothesis because the test statistic -0.804 is less than the critical value 2.013.

The years of work experience of MBA applicants is less than 3.

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