A study was conducted to estimate the mean weight of adult male black bears. Based on a random sample of 50 adult male black bears, a 95% confidence interval for the population mean is (227.26, 272.74). Which of the following is the correct interpretation of this interval?

a. Ninety-five percent of adult male black bears weigh between 227.26 and 272.74 pounds.

b. If random samples of size 50 bears are repeatedly selected, 95% of the samples would have sample means between 227.26 and 272.74.

c. We can be 95% confident that the sample mean is between 227.26 and 272.74. x

d. We can be 95% confident that the population meanis between 227.26 and 272.74.

If a 95% confidence interval for a population mean adult male black bears is (227.26, 272.74), which of the following statements would be true regarding the p-value of a two-tailed hypothesis test of Ho: u = 300 versusHa u different of 300 ?

a. The p-value would be less than .05. b. The p-value would be greater than .05.

c. The p-value would be equal to 1.96. d. There's not enough information to tell.

9. A maker of cell phones purchases large shipments of batteries, and uses the following acceptance sampling plan to decide whether to accept or reject a shipment: They randomly select 10 batteries then reject the whole batch if there is at least one of the batteries that don't work. If a very large shipment of batteries actually has 2% of them defective, what is the probability that this whole shipment will be rejected? That is, what's the probability of getting at least one defective among the 10 selected batteries?