Question
In: Statistics and Probability
Aflatoxin residues in peanut butter: In actual testing, 12 lots of peanut butter had aflatoxin residues...
Aflatoxin residues in peanut butter: In actual testing, 12 lots of peanut butter had aflatoxin residues in parts per billion of 4.94, 5.06, 4.53, 5.07, 4.99, 5.16, 4.38, 4.43, 4.93, 4.72, 4.92, and 4.96.
a. How many possible bootstrap resamples of these data are there?
b. Using R and the sample() function, or a random number table or generator, generate five resamples of the integers from 1 to 12.
c. For each of the resamples in b, find the mean of the corresponding elements of the aflatoxin data set. Print out the 5 bootstrap means.
d. Find the mean of the resample means. Compare this with the mean of the original data set.
e. Find the minimum and the maximum of the five resample means. This a crude bootstrap confidence interval on the mean. (If you had used 1000 resamples, and used the 25th and 975th largest means, this would have given a reasonable 95% confidence interval.)
Solutions
orchestra answered 1 year agoRelated Solutions
Aflatoxin residues in peanut butter: In actual testing, 12 lots of peanut butter had aflatoxin residues...
Aflatoxin residues in peanut butter: In actual testing, 12
lots of peanut butter had
aflatoxin residues in parts per billion of 4.94, 5.06, 4.53,
5.07, 4.99, 5.16, 4.38,
4.43, 4.93, 4.72, 4.92, and 4.96.
a. How many possible bootstrap resamples of these data are
there?
b. Using R and the sample() function, or a random number table
or generator,
generate five resamples of the integers from 1 to 12.
c. For each of the resamples in b, find the mean...
Peanut Land Inc. produces all-natural organic peanut butter. The peanut butter is sold in 12-ounce jars....
Peanut Land Inc. produces all-natural organic peanut butter. The
peanut butter is sold in 12-ounce jars. The sales budget for the
first four months of the year is as follows:
Unit Sales
Dollar Sales ($)
January
80,000
176,000
February
45,000
99,000
March
40,000
88,000
April
42,000
92,400
Company policy requires that ending inventories for each month
be 10% of next month's sales. At the beginning of January, the
inventory of peanut butter is 31,000 jars.
Each jar of peanut butter...
Peanut Land Inc. produces all-natural organic peanut butter. The peanut butter is sold in 12-ounce jars....
Peanut Land Inc. produces all-natural organic peanut butter. The
peanut butter is sold in 12-ounce jars. The sales budget for the
first four months of the year is as follows: Unit Sales Dollar
Sales ($) January 70,000 147,000 February 65,000 136,500 March
60,000 126,000 April 62,000 130,200 Company policy requires that
ending inventories for each month be 10% of next month's sales. At
the beginning of January, the inventory of peanut butter is 31,000
jars. Each jar of peanut butter...
3. Peanut Butter and Jelly - Consider the case of a consumer that buys peanut butter...
3. Peanut Butter and Jelly - Consider the case of a consumer
that buys peanut butter in six-packs. Use the information that
follows to calculate the appropriate elasticities of demand.
a. When the price of a six-pack increased from $18 to $22, the
number of six-packs bought decreased from 30 to 20. What is the
consumer's price elasticity of demand in this case? How did the
consumer's total spending on peanut butter change as a result of
this? (Spending by...
A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68,...
A quick survey of peanut butter prices had standard deviation
and mean of $0.26 and $3.68, respectively. Compute the area for a
peanut butter jar costing more than $4.25.
64) In 2014, the price of peanuts was rising, which lead peanut butter sellers and peanut...
64) In 2014, the price of peanuts was rising, which lead peanut
butter sellers and peanut butter buyers to expect the price of
peanut butter would rise in the future. Suppose the effect on the
buyers was larger than the effect on the sellers. Consequently, in
the current market for peanut butter there is a in the
price of peanut butter and in the quantity of peanut
butter.
A) rise; a decrease
B) fall; an increase
C) rise; an increase...
Suppose that Jiffyland produces nothing but peanut butter. In 2018 the following activities were observed: Peanut...
Suppose that Jiffyland produces nothing but peanut butter. In
2018 the following activities were observed:
Peanut farmers sold $20 million worth of peanuts to
distributors.
Distributors sold $30 million worth of peanuts to processors.
Processors sold $50 million worth of peanut butter to
producers.
Producers sold $60 million worth of jars of peanut butter to
grocers.
Grocers sold $75 million worth of jars of peanut butter to final
consumers.
In this example, what are the two methods of calculating GDP?...
The supply and demand for organic peanut butter are QD = 70 – 5P and QS...
The supply and demand for organic peanut butter are QD = 70 – 5P
and QS = 5P, where P is price per jar and Q is in hundreds of jars
per day. The government has two pieces of legislation up for
debate: a $1 supply subsidy or a price floor equal to $7.50. Defend
your answers with math and economic logic! No defense means no
credit. A) Which law would be more efficient (i.e. result in less
deadweight loss)?...
Plain M&M: 15,14,15,15,14,16,15,14,15,16,16,14,15,14,15,15,14,17,17,15,15,17,14,16,14,16,17,13,16,16, 15, 17,6,14,16,15,13,15,17,15,17,14,15,14,16,14 Peanut Butter: 8,6,8,7,8,8,8,7,3,7,10,7,7,6,8,7,8,7,7,7,8,8,8,7,9,7,8,8,7,8,8,8,6,7,8,8,8,7,6,7,7,8,8
Plain M&M:
15,14,15,15,14,16,15,14,15,16,16,14,15,14,15,15,14,17,17,15,15,17,14,16,14,16,17,13,16,16,
15, 17,6,14,16,15,13,15,17,15,17,14,15,14,16,14
Peanut Butter:
8,6,8,7,8,8,8,7,3,7,10,7,7,6,8,7,8,7,7,7,8,8,8,7,9,7,8,8,7,8,8,8,6,7,8,8,8,7,6,7,7,8,8,8,14,8,8,7,6
Skittles:
15,14,15,14,14,15,15,14,15,15,14,15,15,15,14,15,20,15,15,15,14,14,15,15,15,16,12,15,15,14,
14,15,14,15,14,14,14,13,16
**Assume that both Plain and Peanut M&M candies, and
Skittles are normally distributed.
2. Suppose that M&M claims that each bag of Peanut M&Ms
should be 18 grams and Plain M&Ms should be 13.5 grams. Suppose
that Skittles claims that each bag contains 16 grams.
a. Test the claim that M&M is shorting its customers in
servings of Peanut M&Ms.
b. Test the claim that M&M is overfilling Plain...
Ants on a Sandwich How many ants will climb on a piece of a peanut butter...
Ants on a Sandwich How many ants will climb on a piece of a
peanut butter sandwich left on the ground near an ant hill? To
study this, a student in Australia left a piece of a sandwich for
several minutes, then covered it with a jar and counted the number
of ants. He did this eight times, and the results are shown in
Table 3.10. (In fact, he also conducted an experiment to see if
there is a difference...
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