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.

a. What is the population of people? Where and how are you going to collect your sample? Does your sample accurately represent your population? Why or why not?

The population is the number of people at the mall. I took the sample using a systematic random sampling procedure and asked each of the nine people two questions. "Can you tell me how tall you are in inches?" and "how much do you weigh in pounds?" Because the sample size is so small, it will not be a good representation of the population.

b. Collect the sample and record the data.

Height

60

62

73

62

60

69

74

77

79

Shoe size

160

163

180

140

133

135

143

147

182

2. (CLO 1) Construct a confidence interval to estimate the mean height and the mean weight by completing the following:

a. Find the sample mean and the sample standard deviation of the height.

=;; =68.4

b.Find the sample mean and sample standard deviation of the shoe sizes.Denote them asy and sy respectively.

c.Constructand interpreta confidence interval to estimate the mean height of the population.You mustfirst write the formula for the confidence interval and then substitute your appropriate numbers.

d.Constructand interpreta confidence interval to estimate the mean shoe size of the population.You mustfirst write the formula for the confidence interval and then substitute your appropriate numbers.

3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches.Use the appropriate significance levelyou fixed earlier.

a.State the initial and alternative hypothesis.

b.FindtheteststatisticandtheP-value.Youmustfirstwritetheformulafortheteststatisticandthen substitute your appropriate numbers.

c.Draw a conclusion in context of the situation.Your conclusion should include both the formal language aswell as an informal explanation.

4.(CLO 3) Find a correlation between height and shoe size.

a.Create a scatterplot of the data.Height is x-axis and Shoe size is y-axis.Attach your scatterplot to the endof this document.

b.Find the linear correlation coefficient.What does this tell you about your data?

c.Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall.

5.Write a paragraph or two about what you have learned from this process.When you read, see, or hear statistics in the future (as A nurse), what skills will you apply to know whether you can trust the result?