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# You will be applying what you have learned in this course by gathering data and running a statistical analysis. To study about the relationship between height and the weight, you need to collect a...

You will be applying what you have learned in this course by gathering data and running a statistical analysis.

1. To study about the relationship between height and the weight, you need to collect a sample of nine (9) people using a systematic sampling method.
1. What is the population of people?
2. Where and how are you going to collect your sample?
3. Does your sample accurately represent your population? Why or why not?
4. Collect the sample and record the data.
2. Construct a confidence interval to estimate the mean height and the mean weight by completing the following:
1. Find the sample mean and the sample standard deviation of the height.
2. Find the sample mean and the sample standard deviation of the weight.
3. Construct and interpret a confidence interval to estimate the mean height.
4. Construct and interpret a confidence interval to estimate the mean weight.
3. Test a claim that the mean height of people you know is not equal to 64 inches using the p-value method or the traditional method by completing the following:
1. State H0 and H1.
2. Find the p value or critical value(s).
3. Draw a conclusion in context of the situation.
4. Create a scatterplot with the height on the x-axis and the weight on the y-axis. Find the correlation coefficient between the height and the weight. What does the correlation coefficient tell you about your data? Construct the equation of the regression line and use it to predict the weight of a person who is 68 inches tall.
5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result?
Answered Same Day Jul 28, 2021

## Solution

Komalavalli answered on Jul 31 2021
To study about the relationship between height and the weight, you need to collect a sample of nine (9) people using a systematic sampling method.
1. a)
Population of the people is 10000 persons.
)
I am going to collect my sample from secondary source called Kaggle and the dataset obtained from the website https:
www.kaggle.com/mustafaali96/weight-height.From Population data set samples are obtained through systematic sampling method. The sample interval value is 10000/9 = 1111.
c)
My sample data accurately represent the population data , I have obtained sample by employing systematic sampling method which seeks to accurately reflect the characteristic of my population dataset.
d)
Sample data
Height
weight
71.75142
215.9354
64.80414
165.6045
60.72108
123.6284
65.28591
161.1482
63.0917
121.0089
65.76964
152.6832
62.94166
127.2488
62.06377
121.5742
69.03424
163.8525
2.
a)
Sample mean height is 65.05 and sample standard deviation of the height is 3.49
)
Sample mean weight is 150.30 and sample standard deviation of the height is 31.18.
c)
P(65.05 â€“ 1.96 *(3.49/âˆš9)<Âµ<65.05 + 1.96 *(3.49/âˆš9)) =1-0.05
P(62.77<Âµ<67.33) =0.95
Lower confidence limit : 62.77
Upper confidence limit : 67.33
In repeated sampling, 95% of such intervals created would contain the true population...
SOLUTION.PDF