Question

1. Lloyd’s Cereal Company packages cereal in 1-pound boxes (1 pound = 16 ounces). It is assumed that the amount of cereal per box varies according to a normal distribution with a mean of 1 pound and a standard deviation of 0.08 pound. One box is selected at random from the production line every hour, and if the weight is less than 14 ounces, the machine is adjusted to increase the amount of cereal dispensed. The probability that the amount dispensed per box will have to be increased during a 1-hour period is

A) 0.3944

B) 0.0594.

C) 0.1056.

D) 0.6056.

2. Lloyd’s Cereal Company packages cereal in 1-pound boxes (1 pound = 16 ounces). It is assumed that the amount of cereal per box varies according to a normal distribution. A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 14 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for an hour is 1 pound and the standard deviation is 0.4 pound, the probability that the amount dispensed per box will have to be increased is

A) 0.0594.

B) 0.0062.

C) 0.9401.

D) 0.9938.

Answer #1

1. Here it is assumed that the amount of cereal per box varies according to a normal distribution with a mean of 1 pound =16 ounces and a standard deviation of 0.08 pound

We need to find

Also as mean is 1pound=16 ounces and standard deviation is 0.08 pound = 1.28 ounces

As distribution is normal we can convert x to z

So answer is B. 0.0594

2. Here mean=16 ounces and standard deviation is 0.4*16=6.4

Now for sample of size n=25 and we need to find

As population is normal so as per central limit theorem sample mean is also normal and so we can convert sample mean to z

So answer is a. 0.0594

1. Costs for standard veterinary services at a local animal
hospital follow a Normal distribution with a mean of $89 and a
standard deviation of $23. What is the probability that one bill
for veterinary services costs between $45 and $132?
a.
0.5000
b.
0.0586
c.
0.5293
d.
0.4707
e.
0.9414
2.
Lloyd's Cereal company packages cereal in 1 pound boxes (16
ounces). A sample of 49 boxes is selected at random from the
production line every hour, and if...

The amount of cereal dispensed into "16-ounce" boxes of
Captain Crisp cereal was normally distributed with mean
16.18 ounces and standard deviation 0.25 ounces.
a. What proportion of boxes are "underfilled"?
That is, what is the probability that the amount dispensed into a
box is less than 16 ounces? Give your answer to 4 decimal
places.
b. Find the probability that exactly 3 out of 9
randomly and independently selected boxes of cereal contain less
than 16 ounces. Give your...

Granola Crunch cereal is packaged in 1 pound boxes. Susan
Torres, a quality control analyst who works for the manufacturer of
the cereal, wants to check if the packaging process is working
improperly: boxes are being over-filled or under-filled. A sample
of 40 cereal boxes of Granola Crunch yields a mean weight of 1.02
pounds of cereal per box. Assume that the weight is normally
distributed with a population standard deviation of 0.04 pound.
Conduct a hypothesis test at the...

A machine that is programmed to package 18.7 ounces of cereal in
each cereal box is being tested for its accuracy. In a sample of 43
cereal boxes, the mean is 18.79 ounces. Assume that the population
standard deviation is 0.24 ounces. Can you conclude at the 5%
significance level that the machine is not working properly? That
is, can you conclude that the machine is either underfilling or
overfilling the cereal boxes?
1. To test: Ho: (Click to
select) β μ p x¯ α (Click
to...

A machine fills boxes
with cereal. The labeled weight is 9 oz. The quality control
department sampled three boxes every day for five days.
The samples are as
follows:
Sample
Box Weights (oz)
1
8.53
8.61
8.93
8.81
2
9.29
8.97
8.54
9.39
3
8.99
8.82
8.82
8.82
What is the X double
bar of samples? (Keep two decimal points.)

Kellogg Company manufactures cold cereal products, such as
Frosted Flakes. Assume that the inventory in process on March 1 for
the Packing Department included 1,200 pounds of cereal in the
packing machine hopper (enough for 800 24-oz. boxes), and 800 empty
24-oz. boxes held in the package carousel of the packing machine.
During March, 65,400 boxes of 24-oz. cereal were packaged.
Conversion costs are incurred when a box is filled with cereal. On
March 31, the packing machine hopper held...

A machine fills boxes
with cereal. The labeled weight is 9 oz. The quality control
department sampled three boxes every day for five days.
The samples are as
follows:
Sample
Box Weights (oz)
1
9.41
8.82
8.88
8.66
2
9.08
8.61
8.86
9.33
3
8.9
9.45
8.6
8.75
What is the upper
control limit (UCL) of R chart (refer to the table below if
necessary)? (Keep two decimal points.)
Factor for
R Chart
Number of Observations
in Subgroup
Factor for...

1.
Teller Co. is planning to sell 900 boxes of ceramic tile, with
production estimated at 870 boxes during May. Each box of tile
requires 44 pounds of clay mix and a quarter hour of direct labor.
Clay mix costs $0.40 per pound and employees of the company are
paid $12.00 per hour. Manufacturing overhead is applied at a rate
of 110% of direct labor costs. Teller has 3,900 pounds of clay mix
in beginning inventory and wants to have...

Question 5: Assume that you make candy bars; the advertised
weight of the candy bar is 4.0 ounces with a standard deviation
(sigma) of 2.35 oz. however your production manager thinks that
this is not true; he thinks the candy bars are over-weight, they
weigh more than 4.0 oz. To test his claim, you
decided to randomly select a sample of 126 candy bars, the average
weight (x-bar) is 4.5 oz. At an alpha (a) of 0.01 what do you...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 6 minutes ago

asked 7 minutes ago

asked 11 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 45 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago