Question

The weights of bags of frozen vegetables packaged at a factory are normally distributed with a mean weight of 2.46 lbs and a standard deviation of 0.25 lbs. For quality control purposes, a random sample of 33 bags is chosen once per day, and weighed. Let ?⎯⎯⎯⎯⎯ be the random variable representing the mean weight of the bags.

a. ?⎯⎯⎯⎯⎯ is normally distributed with a mean of ______ and a standard error of the mean ______. Round your answer to 2 decimal places.

b. Find the probability that a sample of 33 has a sample mean between 2.46 and 2.57. Round your answer to 4 decimal places.

c. The machine that fills the bags will be repaired if the sample mean for a sample of 33 is in the bottom 4% or top 4% of possible sample means.

A repair will be triggered if the sample mean is less than ______ or greater than ______. Round your answers to 2 decimal places.

Answer #1

The distribution of the sample mean is .

a). is normally distributed with a mean of ___2.46___ and a standard error of the mean ______.

b) The probability,

c) The 4-the percentile of the sample mean (say ) is

Also

A repair will be triggered if the sample mean is less than __2.38____ or greater than __2.54____.

The weights of steers in a herd are distributed normally. The
standard deviation is 200 lbs and the mean steer weight is 1000
lbs. Find the probability that the weight of a randomly selected
steer is between 1160 and 1260 lbs. Round your answer to four
decimal places.

The weights of steers in a herd are distributed normally. The
variance is 90,000 and the mean steer weight is 1500 lbs. Find the
probability that the weight of a randomly selected steer is between
1859 and 2009 lbs. Round your answer to four decimal places.

The weight of bags of organic fertilizer is normally distributed
with a mean of 50 pounds and a standard deviation of 1 pound. If we
take a random sample of 25 bags of organic fertilizer, there is an
80% chance that their mean weight will be greater than what
value?
Suppose that IQs of adult Canadians follow a normal distribution
with standard deviation 15. A random sample of 30 adult Canadians
has a mean IQ of 112. We would like...

(A) The weight of cans of vegetables is normally distributed
with a mean of 1000 grams and a standard deviation of 50 grams.
What is the probability that the sample mean of weight for 10
randomly selected cans is more than 1040? (B) The age of vehicles
registered in a certain European country is normally distributed
with a mean of 98 months and a standard deviation of 15 months.
What is the probability that the sample mean of age for...

The weights of bags filled by a machine are normally distributed
with a standard deviation of 0.055 kilograms and a mean that can be
set by the operator. At what level should the mean weight be set if
it required that only 1% of the bags weigh less than 9.5
kilograms?

A process produces bags of refined sugar. The weights
of the contents of these bags are normally distributed with a
standard deviation of 1.2 ounces. The contents of a random sample
of twenty five bags had a mean weight of 19.8 ounces. Find a 98%
confidence interval for the true mean weight for all bags of sugar
produced by the process. interpret the results

The weights of adult gray tree frogs are known to be normally
distributed with a population standard deviation of 0.12 ounces. 34
mature gray tree frogs were weighed. The mean weight of the sample
was ?̅= 0.25 oz. Compute the margin of error (E) to construct a 95%
confidence interval for the population mean for a sample of size
34. Round, if necessary, to two (2) decimal places. E =

The weights of steers in a herd are distributed normally. The
variance is 10,000 10,000 and the mean steer weight is 1300lbs .
Find the probability that the weight of a randomly selected steer
is between 1169 and 1390lbs lbs . Round your answer to four
decimal places.

Question 21 The weights of bags of raisins are normally
distributed with a mean of 175 grams and a standard deviation of 10
grams. Bags in the upper 4.5% are too heavy and must be repackaged.
Also, bags in the lower 5% do not meet the minimum weight
requirement and must be repackaged. What are the ranges of weights
for raisin bags that need to be repackaged? Use a TI-83, TI-83
plus, or TI-84 calculator, and round your answers to...

The population of weights for men attending a local health club
is normally distributed with a mean of 174-lbs and a standard
deviation of 28-lbs. An elevator in the health club is limited to
33 occupants, but it will be overloaded if the total weight is in
excess of 6204-lbs. Assume that there are 33 men in the elevator.
What is the average weight beyond which the elevator would be
considered overloaded? average weight = lbs What is the probability...

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