Question 1109995: The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is normally distributed with mean μ = 856 grams and standard deviation of σ = 11 grams.
(a) Describe the distribution of x, the amount of fill per jar.
skewed right
normal
skewed left
chi-square
Correct: Your answer is correct.
(b) Find the probability that one jar selected at random contains between 840 and 856 grams. (Give your answer correct to four decimal places.)
0.4265
Correct: Your answer is correct.
(c) Describe the distribution of x, the mean weight for a sample of 30 such jars of sauce.
skewed right
normal
skewed left
chi-square
Correct: Your answer is correct.
(d) Find the mean of the x distribution. (Give your answer correct to the nearest whole number.)
856
Correct: Your answer is correct.
(ii) Find the standard error of the x distribution. (Give your answer correct to two decimal places.)
2.01
Correct: Your answer is correct.
(e) Find the probability that a random sample of 30 jars has a mean weight between 840 and 856 grams. (Give your answer correct to four decimal places.)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! For the last one, z(840)=-16/11/sqrt(30)=-7.97
want probability of z between -7.97 and 0. That is 0.5000. The se is only 2, and the distance from the mean is 16.
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