After receiving customer complaints, you have tested 50 propane grill ignitors and found that 15 of them did not spark. Construct a 95% confidence interval for the binomial mean so that you can dispute your suppliers claim that at most 5% will fail. 5. Bob has started working as a service manager at the BMW dealership. He has noticed that even though his manual says that a front brake job should take 45 minutes, it seems that most of his mechanics take longer than that to do it. He decides to keep track of the time for this job for the next two days. There are 8 front brake jobs done while he is there, all done by different mechanics. The times he records are 53, 44, 57, 52, 49, 62, 55, and 47 minutes. Assume the times are normally distributed and construct a 95% confidence interval on the mean time for this job. Does it indicate that the time in his book is incorrect?
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