# Question

The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 6.05 ounces and a standard deviation of .18 ounces. Suppose that you draw a random sample of 36 cans.

a. Find the probability that the mean weight of the sample is less than 5.97 ounces.

b. Suppose your random sample of 36 cans of salmon produced a mean weight that is less than 5.97 ounces. Comment on the statement made by the manufacturer.

a. Find the probability that the mean weight of the sample is less than 5.97 ounces.

b. Suppose your random sample of 36 cans of salmon produced a mean weight that is less than 5.97 ounces. Comment on the statement made by the manufacturer.

## Answer to relevant Questions

The number of customers who enter a supermarket each hour is normally distributed with a mean of 600 and a standard deviation of 200. The supermarket is open 16 hours per day. What is the probability that the total number of ...a. In a binomial experiment with n = 300 and p = .5, find the probability that P̂ is greater than 60%.b. Repeat part (a) with p = .55.c. Repeat part (a) with p = .6The manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 14%. What is the probability that in the next 100 customers at least 10% will be tea drinkers?Repeat Exercise 9.45 with samples of size 50.Population 1: µ = 280, σ = 25Population 2: µ = 270, σ = 30A sample of n = 16 observations is drawn from a normal population with µ = 1,000 and σ = 200. Find the following.a. P (x̄ > 1,050)b. P (x̄ < 960)c. P (x̄ > 1,100)Post your question

0