Question
As part of an investigation of employee turnover, an industry-wide survey of people in sales management positions gave the number of years of experience in sales relate positions. The data is as follows:
Males Females
Sample size 80 70
Mean years 21.7 18.5
Std.dev of years 9.3 4.8
Construct a 95% confidence interval for the difference of means µ1 - µ2 .
Answer :
Word Count : 234
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For two independent samples, the 95% confidence interval for the difference between two population means ((\mu_1-\mu_2)) is calculated using the formula: [ (\bar{X}_1-\bar{X}*2)\pm Z*{\alpha/2}\times SE ] where: * Sample size of males, (n_1 = 80) * Sample size of females, (n_2 = 70) * Mean experience of males, (\bar{X}_1 = 21.7) * Mean experience of females, (\bar{X}_2 = 18.5) * Standard deviation of males, (s_1 = 9.3) * Standard deviation of females, (s_2 = 4.8) * For a 95% confidence level, (Z_{0.025}=1.96)
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