According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $500 per week. A representative of a women’s group decides to analyze whether the mean income μ for female employees matches this norm. For a random sample of nine female employees, y ̄ = $410 and s = $90. a. Test whether the mean income of female employees differs from $500 per week. Include assumptions, hypotheses, test statistic, and P-value. Interpret the result. b. Report the P-value for Ha : μ < 500. Interpret. c. Report and interpret the P-value for Ha : μ > 500.. (Hint: The P-values for the two possible one-sided tests must sum to 1.)
According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $500 per week. A representative of a women’s group decides to analyze whether the mean income μ for female employees matches this norm. For a random sample of nine female employees, y ̄ = $410 and s = $90.
a. Test whether the mean income of female employees differs from $500 per week. Include assumptions, hypotheses, test statistic, and P-value. Interpret the result.
b. Report the P-value for Ha : μ < 500. Interpret.
c. Report and interpret the P-value for Ha : μ > 500.. (Hint: The P-values for the two possible one-sided tests must sum to 1.)
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