# Statistics Assignment Answers

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User Generated
Subject
Statistics
School
West Coast University
Type
Homework
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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?
To collect the sample data, I went to the local grocery store and stood outside. I asked
every 4
th
person walking into the store if they would give me height/weight information to
help me complete this assignment. Only one person declined so I ended up having to
talk to ten people to gather the information. This is a representative sample of the
population in the area since it’s a place that all people need to visit at some point; I
should have been able to collect a sufficiently representative sample in this manner.
b. Collect the sample and record the data.
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.
Mean = 67.4 inches
Standard Deviation = 5.1 inches
b. Find the sample mean and the sample standard deviation of the weight.
Mean = 173.6 lbs
Standard Deviation = 48.8 lbs
c. Construct and interpret a confidence interval to estimate the mean height.
95% confidence interval requires use of the t-critical values. For 8 degrees of freedom,
the t-value is 1.86, and the confidence interval is then [64.27, 70.62]
d. Construct and interpret a confidence interval to estimate the mean weight.
95% confidence interval requires use of the t-critical values. For 8 degrees of freedom,
the t-value is 1.86, and the confidence interval is then [143.30, 203.81]
Person 1 2 3 4 5 6 7 8 9
Height (in) 77 61 67 62 70 64 72 65 69
Weight (lbs) 157 256 137 214 127 155 157 235 124

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3. (CLO 2) 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:
a. State H0 and H1.
H0: 
H1: 
b. Find the p value or critical value(s).
The test statistic is


= -1.164
This test statistic is not smaller than the critical value of -1.86, so it is not in the rejection
region and we fail to reject the null hypothesis.
c. Draw a conclusion in context of the situation.
Since we fail to reject the null hypothesis, this means that we do not have sufficient
evidence, at the 95% confidence level, to conclude that the mean height is different
from 64 inches.
4. (CLO 3) 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.

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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? To collect the sample data, I went to the local grocery store and stood outside. I asked every 4th person walking into the store if they would give me height/weight information to help me complete this assignment. Only one person declined so I ended up having to talk to ten people to gather the information. This is a representative sample of the population in the area since it’s a place that all people need to visit at some point; I should have been able to collect a sufficiently representative sample in this manner. b. Collect the sample and record the data. Person Height (in) Wei ...
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Anonymous
Really helpful material, saved me a great deal of time.

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