A company claims that the amount of nicotine in their brand of cigarettes is 8.4 mg. Nicotine content for this brand of cigarettes is known to follow a normal distribution with standard deviation 0.85 mg. We will select a random sample of 8 cigarettes and conduct a hypothesis test at the 10 % level of significance to determine whether the true mean nicotine content of all cigarettes differs from 8.4 mg.
Give all answers to four decimal places.
(a) We will reject the null hypothesis if x (bar)<--- or >----
(b) Using a 10% level of significance, what is the power of the test if the true mean nicotine content is actually 8.7?