Sears uses millions of batteries each year for its surveillance cameras . The brand of battery it currently uses has a mean life of 400 hours. A competitor claims that its batteries, which cost the same as the brand Sears currently uses, have a mean life of more than 400 hours. Sears has decided to purchase the new brand if, when tested, the evidence supports the manufacturer's claim at .05 significance level. Suppose 49 batteries were tested with the following results: x = 417.5 hours, s = 60 hours. Conduct the test using α = .05
Part 1: List the null and alternate hypothesis
Part 2: What test are you going to use? Check the conditions for that test:
Part 3: Show the formula without numbers and the formula set up with numbers to compute the test statistic.
Part 4: Compute the p-value for the test and round to 4 decimal places (use the calculator function that you listed in Part 2)
Part 5: List the conclusion in context that has no symbols in it.
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