A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life of just 6 hours. The manufacturer claims that while the new touch phone is more expensive, its battery life is more than twice as long as that of the leading product. In order to test the claim, a researcher samples 55 units of the new phone and finds that the sample battery life averages 12.2 hours with a sample standard deviation of 1.5 hours. A. Compute the value of the test statistic. B. Calculate the critical value to test the phone manufacturer’s claim at α = 0.01.
from above:
A) value of the test statistic =0.989
B) critical value =2.397
as test statisitic is not higher than critical value we fail to reject null hypothesis
the sample data does not provide evidence to support manufacturer’s claim
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