Question

Management claims the mean income for all senior-level assembly line workers at 3M equals \$700 a...

Management claims the mean income for all senior-level assembly line workers at 3M equals \$700 a week. An employee decided to test this claim believing it is different from \$700.

A. State the hypotheses for this test, and make a conclusion to the test based upon the confidence interval below. What level is this test? 99% CI of µ: (631.354, 650.868)

B. Suppose management claimed that 60% of senior-level assembly line workers at 3M is greater than \$650 a week. An employee created a 95% confidence interval of the proportion of senior-level assembly line workers using a random sample of 50 workers. Their confidence interval is below. Based off the confidence interval, is it valid to conclude that less than 60% of workers get paid more than \$650 a week? Why or why not?(Hint: what is the standard error of a z-test and what is the standard error of a confidence interval for proportions?) 95% CI for p: (0.522,0.776)

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