webwork/ math2100-spring2018-tzigantchev hw6 15 HW6: Problem 15 Prev UpNext (1 p

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webwork/ math2100-spring2018-tzigantchev hw6 15 HW6: Problem 15 Prev UpNext (1 pt) The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actualily a normal random variable with a mean of 6.15 ounces and a standard deviation of 0.13 ounce. Suppose that you draw a random sample of 31 cans. Find the probability that the mean weight of the sample is less than 6.14 ounces Probability Preview AnswersSubmit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor

Explanation / Answer

mean = 6.15 , s = 0.13 , n = 31

P(x <6.14)
by central limit theorem,
z = (x -mean)/(s/sqrt(n))
= (6.14 - 6.15)/(0.13/sqrt(31))
= -0.4283

P(x <6.14) = P(z <-0.4283) = 0.3339by using standard normal table

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