Question

Potato chip bags are
labeled as containing 9 ounces of potato chips. To determine the
accuracy of this label, a simple random sample of 37 bags was
taken. The sample mean was 8.73 ounces and the sample standard
deviation was 0.18 ounces. Construct a 98 %

confidence interval for the population mean weight of bags of
potato chips.

a) Give the critical value, ??.

b) Compute the standard error, ?? ̅.

c) Calculate the maximal margin of error, ?.

d) Give the 98 % confidence interval for the population mean weight of bags of potato chips using one complete sentence.

e) Based on the confidence interval you constructed, are the labels likely correct?

Answer #1

a)

sample mean, xbar = 8.73

sample standard deviation, s = 0.18

sample size, n = 37

degrees of freedom, df = n - 1 = 36

Given CI level is 98%, hence α = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01, tc = t(α/2, df) = 2.434

tc= 2.434

b)

standard error = 0.18/sqrt(37) = 0.0296

c)

ME = tc * s/sqrt(n)

ME = 2.434 * 0.18/sqrt(37)

ME = 0.072

d)

CI = (xbar - tc * s/sqrt(n) , xbar + tc * s/sqrt(n))

CI = (8.73 - 2.434 * 0.18/sqrt(37) , 8.73 + 2.434 *
0.18/sqrt(37))

CI = (8.66 , 8.8)

e)

yes, because confidence interval does not contain 9

The mean weight of a bag of potato chips from Potato Chip
Incorporated is 14.75 ounces with a standard deviation of 0.4
ounces. A sample of 100 bags of potato chips has a mean weight of
w.
(a) Assuming the weight of potato chip bags is normally
distributed, what is the mean and standard deviation of the
variable w?
(b) Assuming the weight of potato chip bags has a distribution of
unknown shape, what is the mean and standard deviation...

Question #11: A manufacturer makes bags of popcorn and bags of
potato chips. The average weight of a bag of popcorn is supposed to
be 3.06 ounces with an allowable deviation of 0.03 ounces. The
average weight of a bag of potato chips is supposed to be 5.08
ounces with an allowable deviation of 0.05 ounces. A factory worker
randomly selects a bag of popcorn from the assembly line and it has
a weight of 3.02 ounces. Then the worker...

1.The weight of potato chip bags marketed as 16-ounce bags
follows a distribution that has a mean of 17.0 ounces and a
standard deviation of 1.0 ounces. Suppose a sample of 100 of these
bags of potato chips has been randomly sampled.
The mean weight of the 100 bags would be considered a
____________________ and the mean weight of all bags would be
considered a __________________.
statistic; statistic
parameter; parameter
parameter; statistic
statistic; parameter
2. Suppose we repeatedly sampled from...

The weight of potato chips in a medium-size bag is stated to be
10 ounces. The amount that the packaging machine puts in these bags
is believed to have a normal model with a mean of 10.2 ounces and a
standard deviation of 0.14 ounces.
a) What fraction of all bags sold are underweight?
b) Some of the chips are sold in "bargain packs" of 5 bags.
What's the probability that none of the 5 is underweight?
c) What's...

The weight of potato chips in a largelarge-size bag is stated
to be 20 ounces. The amount that the packaging machine puts in
these bags is believed to have a normal model with a mean of 20.1
ounces and a standard deviation of 0.09 ounces. a) What fraction
of all bags sold are underweight? b) Some of the chips are sold
in "bargain packs" of 3 bags. What's the probability that none of
the 3 is underweight? c) What's the...

The weight of potato chips in a largelarge-size bag is stated
to be 16 ounces. The amount that the packaging machine puts in
these bags is believed to have a normal model with a mean of 16.3
ounces and a standard deviation of 0.17ounces. a) What fraction of
all bags sold are underweight? b) Some of the chips are sold in
"bargain packs" of 3 bags. What's the probability that none of the
3 is underweight? c) What's the probability...

The weight of potato chips in a small-size bag is stated to be
5 ounces. The amount that the packaging machine puts in these bags
is believed to have a normal model with a mean of
5.1 ounces and a standard deviation of 0.09 ounces.
a) What fraction of all bags sold are underweight?
b) Some of the chips are sold in "bargain packs" of 5bags.
What's the probability that none of the 5 is underweight?
c) What's the probability...

A local chip manufacturer distributes chips in bags labeled as
150g. A group of consumers believe they are being cheated. They run
a test on 32 bags, measures their contents, and obtains a sample
mean of 145 grams with a standard deviation of 6 ounces. Use a 0.01
significance level to test the consumer's claim that the company is
cheating its customers.
Null Hypothesis:
Alternate Hypothesis:
P-value: Conclusion:
Interpretation:

1-
The accuracy of a potato chip bag filling machine was studied. A
simple random sample of 12 bags had a sample mean fill weight of
8.12 oz. and a sample standard deviation of 0.1 oz. The
distribution of the fill weights is assume NORMAL.
Find a 99% confidence interval LOWER LIMIT for the population
mean fill weight.
Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO
AFTER and round up. Thus, 27 is entered as 27.00, 3.5...

. A consumer believes that a certain potato chip maker is
putting fewer chips in their regular bags of chips than the
advertised amount of 12 ounces. In order to test the null
hypothesis that the average chip weight is 12 ounces per bag vs.
the alternative hypothesis that the average chip weight is less
than 12 ounces per bag, a random sample of 38 bags were selected.
The resulting data produced a p - value of 0.055.
(a) At...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 9 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 39 minutes ago

asked 43 minutes ago

asked 55 minutes ago

asked 58 minutes ago

asked 58 minutes ago