Management claims the mean income for all senior-level assembly line workersat 3M equals $700 a week. An employee decided to test this claim believing itis different from $700.a. State the hypotheses for this test, and make a conclusion to the test basedupon 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% confidenceinterval of the proportion of senior-level assembly line workers using a randomsample 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 paidmore than $650 a week? Why or why not?(Hint: what is the standard error ofa z-test and what is the standard error of a confidence interval for proportions?)

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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?)

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