Question

2. 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)

Answer 1

Solution Here Ho M700, t U#700 here the comfidana lavel 99y tren lavel of the tat is 17. Guven I s631.3su, 6 So. 868 here the ntan val does not contam he Jaumad Value 700 So, coe (am b condude ome s differant from $700 Mrat the maam hare to- P-06 s O-6 (0u) Pa S.E = hiven n=S0 00693 50 u raven c-I is 0.522, 0-776 here the ntanval Contauns the value 6 So, coe cant condude tat thus prepaiton aus tran 60%