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16 October, 20:20

A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random samples of female employees (sample 1) and male employees (sample 2) were taken to calculate the mean salary, in dollars per week, for each group. A 95% confidence interval for the difference, µ1 - µ2, between the mean weekly salary of all female employees and the mean weekly salary of all male employees was determined to be (-$110,-$10). Interpret the results.

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  1. 16 October, 20:39
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    Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

    Step-by-step explanation:

    Sample 1 for female

    Sample 2 for male

    Confidence = 90%

    Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁ - µ₂

    So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
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