In: Statistics and Probability
Wall Street securities firms paid out record year-end bonuses of
$ 125,500 per employee for 2005...
Wall Street securities firms paid out record year-end bonuses of
$ 125,500 per employee for 2005 (Fortune, February 6,
2006). Suppose we would like to take a sample of employees at the
Jones & Ryan securities firm to see whether the mean year-end
bonus is different from the reported mean of $ 125,500 for the
population.
- State the null and alternative hypotheses you would use to test
whether the year-end bonuses paid by Jones & Ryan were
different from the population mean.
H0: - Select your answer -greater than
125,500greater than or equal to 125,500equal to 125,500less than or
equal to 125,500less than 125,500not equal to 125,500
Ha: - Select your answer -greater than
125,500greater than or equal to 125,500equal to 125,500less than or
equal to 125,500less than 125,500not equal to 125,500
- Suppose a sample of 40 Jones & Ryan employees showed a
sample mean year-end bonus of $ 118,000 . Assume a population
standard deviation of = $ 29,000 and compute the p-value
(to 4 decimals).
- With = .05 as the level of significance, what is your
conclusion?
- Select your answer -Conclude that the year-end bonuses paid by
Jones & Ryan were different from the population meanDo not
conclude that the year-end bonuses paid by Jones & Ryan were
different from the population mean
Answer the next three questions using the critical value
approach.
- Using = .05, what is the critical value for the test statistic
(to 2 decimals)?
+/-
- Calculate the test statistic (to 2 decimals).
- Using = .05, can you conclude that the year-end bonuses paid by
Jones & Ryan were different from the population mean?