Statistics Bootstrap Distributions Assignment Create and analyze two bootstrap distributions using the data in the table below. A recent study examined the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 - 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The researchers were investigating whether diet cola leaches calcium out of the system, which would increase the amount of calcium in the urine for diet cola drinkers. The data are given below and are stored in the ColaCalcium data set. Diet Cola Water 1 50 1 48 2 62 2 46 3 48 3 54 4 55 4 45 5 58 5 53 6 61 6 46 7 58 7 53 8 56 8 48 Xw 1. By hand, find 10 bootstrap samples for diet cola and for water and sketch a dotplot showing the means of the samples. Also indicate the mean of the original data and the samples. Diet Cola Bootstrap Samples. Sample Data 1 Data 2 Data 3 Number Data 4 Data 5 Data 6 Data 7 Data 8 Sample Mean=Xn Random #s Random #s 2 Random #s 3 Random #s 4 Random #s 5 Random #s 6 Random #s 7 Random #s 8 Random #s 9 Random #s 10 Diet Cola Bootstrap Dotplot (Use Statkey: One Quantitative Variable)

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Statistics
Bootstrap Distributions Assignment
Create and analyze two bootstrap distributions using the data in the table below.
A recent study examined the effect of diet cola consumption on calcium levels in women. A sample of 16
healthy women aged 18 - 40 were randomly assigned to drink 24 ounces of either diet cola or water.
Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg)
was measured. The researchers were investigating whether diet cola leaches calcium out of the system,
which would increase the amount of calcium in the urine for diet cola drinkers. The data are given
below and are stored in the ColaCalcium data set.
Diet Cola
Water
48
1
50
1
2
62
2
46
3
48
3
54
4
55
4
45
5
58
5
53
6
61
6
46
7
58
7
53
8
56
8
48
XD
Xw
1. By hand, find 10 bootstrap samples for diet cola and for water and sketch a dotplot showing the
means of the samples. Also indicate the mean of the original data and the samples.
Diet Cola Bootstrap Samples.
Data 4 Data 5 Data 6 Data 7
Data 8
Sample
Data 1 Data 2 Data 3
Number
Random #s
Sample
Mean=Xn
1
Random #s
2
Random #s
3
Random #s
4
Random #s
5
Random #s
6
Random #s
7
Random #s
8
Random #s
9
Random #s
10
Diet Cola Bootstrap Dotplot (Use Statkey: One Quantitative Variable)
Transcribed Image Text:Statistics Bootstrap Distributions Assignment Create and analyze two bootstrap distributions using the data in the table below. A recent study examined the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 - 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The researchers were investigating whether diet cola leaches calcium out of the system, which would increase the amount of calcium in the urine for diet cola drinkers. The data are given below and are stored in the ColaCalcium data set. Diet Cola Water 48 1 50 1 2 62 2 46 3 48 3 54 4 55 4 45 5 58 5 53 6 61 6 46 7 58 7 53 8 56 8 48 XD Xw 1. By hand, find 10 bootstrap samples for diet cola and for water and sketch a dotplot showing the means of the samples. Also indicate the mean of the original data and the samples. Diet Cola Bootstrap Samples. Data 4 Data 5 Data 6 Data 7 Data 8 Sample Data 1 Data 2 Data 3 Number Random #s Sample Mean=Xn 1 Random #s 2 Random #s 3 Random #s 4 Random #s 5 Random #s 6 Random #s 7 Random #s 8 Random #s 9 Random #s 10 Diet Cola Bootstrap Dotplot (Use Statkey: One Quantitative Variable)
Statistics
Water Bootstrap Samples.
Sample
Number
Data 3 Data 4 Data 5 Data 6
Sample
Mean=xn
Random #s
1
Random #s
Random #s
Random #s
4
Random #s
5
Random #s
6
Random #s
Random #s
8
Random #s
9
Random #s
10
Water Bootstrap Dotplot (Use Statkey: One Quantitative Variable)
2. Using StatKey, find 1000 bootstrap samples for diet cola and for water. Copy and paste a screen shot
of the resulting bootstrap distributions in the document.
3. Does it appear that the mean calcium lost for women who drink diet cola is more than for women
who drink water? Justify your answer.
4. Identify the Standard Error for each data set then construct a 95% confidence interval to estimate the
size of the effect.
263
Data 1
Bootstrap Distributions Assignment
Data 7
Data 8
Data 2
Transcribed Image Text:Statistics Water Bootstrap Samples. Sample Number Data 3 Data 4 Data 5 Data 6 Sample Mean=xn Random #s 1 Random #s Random #s Random #s 4 Random #s 5 Random #s 6 Random #s Random #s 8 Random #s 9 Random #s 10 Water Bootstrap Dotplot (Use Statkey: One Quantitative Variable) 2. Using StatKey, find 1000 bootstrap samples for diet cola and for water. Copy and paste a screen shot of the resulting bootstrap distributions in the document. 3. Does it appear that the mean calcium lost for women who drink diet cola is more than for women who drink water? Justify your answer. 4. Identify the Standard Error for each data set then construct a 95% confidence interval to estimate the size of the effect. 263 Data 1 Bootstrap Distributions Assignment Data 7 Data 8 Data 2
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