Description
It is a data analysis and required to use StatCrunch. requirement and data need to solve are upload.
Elements of good technical writing:
Use complete and coherent sentences to answer the questions.
Again, graphs must be appropriately titled and should refer to the context of the question.
Again, graphical displays must include labels with units if appropriate for each axis.
Units should always be included when referring to numerical values.
When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”
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Explanation & Answer
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Name
STAT 250-xxx
Data Analysis Assignment 5
a) Aluminum Bottles. The aluminum bottle has become popular with beverage
manufacturers. Besides being lightweight and requiring less packaging, the aluminum
bottle is reported to cool faster and stay cold longer than typical glass bottles. A small
brewery tests this claim by obtaining two random samples (one of each type of bottle).
Each sample of bottles measured the time in minutes required to chill a bottle of beer
from room temperature (75 degrees F) to serving temperature (45 degrees F).
i) What is (are) the parameter(s) of interest? Choose one of the following symbols
((the mean of one sample)D (the mean difference from a paired (dependent)
design)2 (the mean difference from independent samples) and describe the
parameter in context in one sentence.
ANS. The parameter of interest is the mean difference from independent samples,
2.
ii) Depending on your answer to part (a), construct one or two histograms and one or
two boxplots to visualize the distribution(s) of your sample data. Remember to
properly title and label these graphs. Copy and paste these graphs into your
document.
Histogram of Aluminum
4
Frequency
3
2
1
0
70
80
90
1 00
Aluminum
110
1 20
Histogram of Glass
6
Frequency
5
4
3
2
1
0
80
1 00
1 20
1 40
Glass
Boxplot of Aluminum, Glass
1 60
1 50
1 40
Data
1 30
1 20
110
1 00
90
80
70
Aluminum
Glass
iii) Describe the shape of the histogram(s) in one sentence.
The histogram for the resof the Aluminum
iv) Does the boxplot(s) show any outliers? Answer this question in one sentence.
The boxplot for the glass bottles shows two outliers.
v) Is inference appropriate in this case? Why or why not? Defend your answer using the
graphs in two to three sentences.
There is no need for a statistical inference for this case because from the histogram and
from the boxplot, it is apparent that there is a significant difference between the two.
b) Metal Hardness Testing. The manufacturer of hardness testing equipment uses steel-ball
indenters to pierce metal that is being tested. However, the manufacturer thinks it would
be better to use a diamond indenter so that they can test all types of metal. Because of
the differences between the two types of indenters, it is suspected that the two methods
will produce different hardness readings. The metal specimens to be tested are large
enough so that two indentions can be made. Therefore, the manufacturer wants to use
both indenters on each specimen and compare the readings. The order of the indentions
will be random.
i) What is (are) the parameter(s) of interest? Choose one of the following symbols
(the mean of one sample)D (the mean difference from a paired (dependent)
design)2 (the mean difference from independent samples) and describe the
parameter in contest in one sentence.
The parameter of interest is D which is the mean difference between the
indentations of steel ball and diamond measured for each specimen.
ii) Depending on your answer to part (a), construct one or two histograms and one or
two boxplots to visualize the distribution(s) of your sample data. Remember to
properly title and label these graphs. Copy and paste these graphs into your
document.
Histogram of Difference
4
Frequency
3
2
1
0
-3
-2
-1
0
1
2
Difference
Boxplot of Difference
2
Difference
1
0
-1
-2
-3
iii) Describe the shape of the histogram(s) in one sentence.
The shape of the histogram is a little skewed to the left.
iv) Does the boxplot(s) show any outliers? Answer this question in one sentence.
The boxplot does not show any outlier.
v) Is inference appropriate in this case? Why or why not? Defend your answer using the
graphs in two to three sentences.
There is a need to do inference testing for this case since there is no telling from the
plot if the difference between the two is really zero.
c) Too Much Salt. A nutritionist claims that children under the age of 10 years are
consuming more than the US Food and Drug Administration’s recommended daily
allowance of sodium, which is 2400 mg. To test this claim, she obtains a random sample
of 18 children under the age of 10 and measures their daily consumption of sodium.
i) What is (are) the parameter(s) of interest? Choose one of the following symbols
(the mean of one sample)D (the mean difference from a paired (dependent)
design)2 (the mean difference from independent samples) and describe the
parameter in context in one sentence.
The parameter of interest is the mean of one sample,
ii) Depending on your answer to part (a), construct one or two histograms and one or
two boxplots to visualize the distribution(s) of your sample data. Remember to
properly title and label these graphs. Copy and paste these graphs into your
document.
Histogram of Salt Intake
5
Frequency
4
3
2
1
0
2000
2500
3000
3500
Salt Intake
4000
4500
5000
Boxplot of Salt Intake
5000
4500
Salt Intake
4000
3500
3000
2500
2000
iii) Describe the shape of the histogram(s) in one sentence.
The histogram does not demonstrate a normally distributed data.
iv) Does the boxplot(s) show any outliers? Answer this question in one sentence.
The block does not show any outlier.
v) Is inference appropriate in this case? Why or why not? Defend your answer using
the graphs in two to three sentences.
There is no need ...