The average weekly earnings for women in managerial and professional positions is RM 670. Do men in the same positions have average weekly earnings that are higher than those for women? A random sample of n = 40 men in managerial and professional positions showed x = RM725 and s =

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QUESTION 4
The average weekly earnings for women in managerial and professional
positions is RM 670. Do men in the same positions have average weekly
earnings that are higher than those for women? A random sample of n = 40
men in managerial and professional positions showed x = RM725 and s =
RM102. Test the appropriate hypothesis using a = 0.01.
a) Find the mean sampling distribution and its standard deviation.
b) State the hypothesis to be tested.
c) Conduct a statistical test of the null hypothesis and state your
conclusion.
d) Construct a 99% Confidence Interval for the population mean. Explain
your finding.
Transcribed Image Text:QUESTION 4 The average weekly earnings for women in managerial and professional positions is RM 670. Do men in the same positions have average weekly earnings that are higher than those for women? A random sample of n = 40 men in managerial and professional positions showed x = RM725 and s = RM102. Test the appropriate hypothesis using a = 0.01. a) Find the mean sampling distribution and its standard deviation. b) State the hypothesis to be tested. c) Conduct a statistical test of the null hypothesis and state your conclusion. d) Construct a 99% Confidence Interval for the population mean. Explain your finding.
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