The distribution of actual weights of wedges…

Question

The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 9.1 ounces and a standard deviation of 0.2 ounces. (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.)

(a) The probability that a randomly chosen wedge of cheddar cheese is greater than 9.07 is _____.

(b) If a sample of 16 is randomly chosen, then the distribution of the sample mean weight is _____(b2) with a mean of _____ and a standard deviation of _____. (Options for (b2): approximately normal or not normal or left/right skewed)

(c) The probability that the sample mean weight of this sample of 16 is less than 9.07 is ______.

(d) The probability that the sample mean weight of this sample of 16 is greater than 9.07 is ______.

(e) The probability that the sample mean weight of this sample of 16 is between 9.07 and 9.15 is ______.

(f) There is only a 5% chance that the average weight of a sample of these 16 cheese wedges will be below _______.

Answer 1

Hi Mish L.,

You've asked 5 questions here, and 7 questions, in great detail, on the same skill set, on successive days, without evidence you've even thought about the problems? That's spamming. Doing your entire problem set for you is first, forbidden under Wyzant rules, and second, won't help you acquire the skills you need. Ask one question, digest the lesson, and do the rest yourself -- that would be appropriate.

-- Cheers, --Mr. d.