“two-pounders” is at least 32 ounces. The alt? Each day, a fast-food chain tests that the average weight of its “two-pounders” is at least 32 ounces. The alternative hypothesis is that the average weight is less than 32 ounces, indicating that new processing procedures are needed. The weights of two-pounders can be assumed to be normally distributed, with a standard deviation of 3 ounces. The decision rule adopted is to reject the null hypothesis if sample mean weight is less than 30.8 ounces.
a)If random sample of n=36 two pounders are selected, what is the probability of type I error, using this decision rule?
b)If random sample of n=9 two-pounders are selected, what is the probability of type I error, using this decision rule? Explain why your answer differs from that in part a.
c)Suppose that the true mean weight is 31 ounces. If random samples of 36 two-pounders are selected, what is the probability of type II error, using this decision rule
a)If random sample of n=36 two pounders are selected, what is the probability of type I error, using this decision rule?
b)If random sample of n=9 two-pounders are selected, what is the probability of type I error, using this decision rule? Explain why your answer differs from that in part a.
c)Suppose that the true mean weight is 31 ounces. If random samples of 36 two-pounders are selected, what is the probability of type II error, using this decision rule