Instructions
This Discussion Board requires you to answer four questions. For each question, do not simply provide an answer; make sure you explain how you arrived at that answer. Please see the corresponding grading rubric to see how each question is assessed. This is an opportunity for you to show your knowledge and understanding of the weekly concepts. You are strongly encouraged to respond to your classmates’ posts with positive and meaningful feedback and will receive up to one point extra credit per discussion board if you do so. This is meant to be a place where we can learn from one another in an engaging and supportive way! Questions
1. ESP: For several years, the U.S. General Social Survey asked subjects, “How often have you felt as though you were felt you were in touch with or connected with someone when they were far away from you?” Of 3887 sampled subjects who had an opinion, 1407 said never and 2480 said at least once. a. Describe the population of interest.
b. Calculate the descriptive statistics (sample proportions).
c. What is the population parameter we want to draw conclusions about (make an inference about)? 2. Use critical thinking to develop an alternative conclusion. A study shows that the number of reported sexually transmitted diseases was significantly higher for high schools that offered courses in sex education than for high schools that did not. Conclusion: The introduction of sex education courses at the high school level has resulted in increased promiscuity among teens. 3. An engineer is designing a machine to manufacture gloves and she obtains the following sample of hand lengths (mm) of randomly selected adult males based on data gathered:
173 179 207 158 196 195 214 199
a. Define this data set as discrete or continuous. b. Hand lengths are what type of level of measurement? c. Compare the mean and median for this data set and if you can draw any conclusions from these values. 4. Explain the difference between stratified and cluster sampling. Why do you think that cluster sampling is frequently used in practice?
Category: Probability
Many college students are familiar with the term “Freshman 15” which is referring to the average 15-pound (6.8 Kg) weight gain that students my incur during their first year in college. The reasons students may gain weight will vary. Certainly, a change in eating habits, lack of exercise, long hours of studying and being sedentary, stress and anxiety are just a few examples of what can cause weight gain. For this activity, you will use a dataset to evaluate before and after weights for both males and females by conducting summary statistics, graphing your data, and drawing some overall conclusions based on your analysis. Instructions
Part I:
Conduct this activity in MyLab by PearsonSummary Statistics: Select “Content” from the Brightspace Navigation toolbar. Select “MyLab Statistics” from the “Content” menu.
Click on the “MTH 210 StatCrunch” tab
Click on “Open Link”
Select the “StatCrunch Website”
Under the Data Column > select “Data Sets”
Search for the data set “Freshman_15” and select the data Analyze your data using the Stat pull-down menu:Stat> Summary Stats> Columns
Click “WT SEPT” to move to the right panel
In “Group by”, select “Sex” from drop down menu
Select “Compute!” At the bottom right.
Copy and paste your results into a word document
Repeat the steps above just selecting for b. “WT APRIL” and copy and paste your results into the same word document. Summary statistics for WT SEPT:
Group by: SEX
SEX
n
Mean
Variance
Std. dev.
Std. err.
Median
Range
Min
Max
Q1
Q3
F
35
58.057143
40.467227
6.3613856
1.0752704
57
28
42
70
54
63
M
32
72.71875
110.85383
10.528715
1.8612314
71
43
54
97
65.5
76
Summary statistics for WT APRIL:
Group by: SEX
SEX
n
Mean
Variance
Std. dev.
Std. err.
Median
Range
Min
Max
Q1
Q3
F
35
59.257143
34.373109
5.8628585
0.99100395
58
22
47
69
56
64
M
32
73.875
118.17742
10.870944
1.9217295
71
50
55
105
68
82
Graphs: You may choose histograms (1) or boxplots (2) to represent your data. If you choose histograms, you will create 4 graphs: WT SEPT Female, WT SEPT Male, WT APRIL Female and WT APRIL Male. If you choose boxplots, both genders can be represented in the same display for a total of 2 graphs for both months. Histograms (4 graphs total)Graph > Histogram
Click “WT SEPT” to move to the right panel (repeat all steps again for “WT APRIL”)
In “Group by”, select “Sex” from drop down menu Select markers (mean and median)
Select “Compute” At the bottom right.
Copy and paste your graphs into a word document (there will be one for F and one for M as you arrow over in your results)
Boxplots (2 graphs total)Graph>Boxplots
Click “WT SEPT” to move to the right panel (repeat all steps again for “WT APRIL”)
In “Group by”, select “Sex” from drop down menu
Select markers (mean and median)
Hit Compute! At the bottom right. Part II: Interpretation and Conclusions
Answer the following questions in the submission box below:Use your knowledge from Module 1 to discuss the following: How did the average weights change from September to April for males and for females?
Look at the median. Was there a significant shift between the months for males and females?
Describe the shape of the distributions of the graphs for both genders. Were there any potential outliers causing skewness in the data for either month?
Give your overall conclusions based on your analytical results. In this dataset, does it appear that gaining 15 lbs (6.8 Kg) on average is accurate over this time frame (a statistically significant change)? Explain.
I have homework that includes PDF density, MGF, and chi-square see the file provided, please don’t accept until you check the file.
A bag contains 5 red marbles, 8 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is either red or green?
To solve this, you can use the formula for the probability of an event ( P(E) ):
P(E)=Number of favorable outcomesTotal number of possible outcomesP(E)=Total number of possible outcomes