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STAT XXXXXXXXXXFinal Project XXXXXXXXXXPoints=140 The goal of this project is to assess how correctly you can apply the skills in...

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STAT XXXXXXXXXXFinal Project XXXXXXXXXXPoints=140
The goal of this project is to assess how co
ectly you can apply the skills in statistical reasoning, data analysis, and interpretation you learned in class to solve the following problems.
It helps you increase your understanding of real-world problems.
This project requires you to use statistical software R to analyze the data and make a statistical conclusion. To answer each question,
1. Write null and alternative hypotheses when necessary.
2. Write what statistical procedures, for example, two-sample, t-test, one-sample t-test, Chi-square test, one-way ANOVA, regression analysis, etc., you choose for a particular question and why?
3. Produce appropriate graphs to support your claim,
4. Calculate summary statistics
5. Use more rigorous statistical methods to measure the evidence with p-values, and to construct a confidence interval of the parameter of interest if needed.
6. Interpret and decide for each question after calculating all necessary steps.
Write your answer underneath each question, put your graphs, summary statistics, and results, interpretation, and R code. Document your results with R Markdown and submit your results as html file.
Your grading will be given based on clarity, organization, the co
ectness of your answers, co
ect interpretation, and co
ect R code. You won’t receive No points if you don’t produce your results with R Markdown.
For this project, use the data set called “NutrionStudy”, which you can find on canvas to answer the questions presented below. The NutrionStudy dataset gives nutrition levels in people’s blood as well as their eating habits. Use a 5% level of significance.
1. Find a 99% confidence interval for the average number of grams of fiber per day that people eat. Interpret the results.
2.
a) Estimate the effect of gender on smoking along with a 95% confidence interval.
) Do the sample data provide evidence that the effect of gender on smoking is statistically significant? In other words, Is there evidence of a difference in the percentage of cu
ent smokers by gender?
3. Does smoking decrease beta-carotene levels in the blood (betaPlasma)? Justify your answer with confidence interval and a p-value.
4.
a) Estimate the effect of sex on beta-carotene levels in the blood along with a 90% confidence interval.
) Does sex have any significant effect on beta-carotene levels in the blood?
5. Are the amount of alcohol consumption and the age of the people significantly related?
6. Which variables listed in the dataset are significantly related to plasma beta carotene?
7. Is there sufficient evidence that the proportions of smoking status (prior-smoke)- Never, former and cu
ent are equal?
8. Consider the following variables: fat grams consumed in a day, cholesterol consumed in mg per day, and age in years. Which of the above factors significantly affects the variable calories consumed in a day at a 5% level of significance?
9.
a) Estimate the effect of smoking on cholesterol levels along with a 95% confidence interval.
) Is the effect of smoking on cholesterol levels significant? Make your decision based on confidence interval.
10. Do the sample data provide evidence that vitamin use affects retinol (micronutrient in the blood) levels? Justify your answer with a p-value.
11. Who (Man or Woman) is more likely to take a vitamin? Is there a significant association between vitamin use and the sex of the participants?

STAT 2040 Class Activity 15 Points XXXXXXXXXXName:
1. An experiment is conducted to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. See the data ‘ Sandwich Ants”.
a) Produce boxplot for the number of ants across different types of
ead.
) Calculate group means, variances, and sizes.
    Group
    Sample mean (
    Sample variance (
    Sample size(
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
c) Calculate
TSS=
SST=
SSE=
d) Write the complete ANOVA table.
e) Conclude.
2. Three groups with and . ANOVA table includes:
    Source
    df
    SS
    MS
    F-statistic
    Groups
    
    
    
    
    E
o
    
    282
    
    
    Total
    
    402
    
    
STAT 2040
Class Activity 15 Points
Name:

1.

An experiment is conducted to study how different sandwich fillings might affect the mean number
of ants attracted to pieces of a sandwich.
See the data ‘
Sandwich Ants”.

a)

Produce boxplot for the number of ants across different types of
ead
.
)

C
alculate group means
,

variances
, and
sizes
.
G
oup

S
ample
mean

(
??
??
?
)

S
ample
variance
(
??
??
2
)

S
ample
size
(
??
??
)
c)

Calculate
TSS
=

SST
=

SSE
=

d)

Write the complete ANOVA table.
e)

Conclude.
2.

Three groups with
??
1
=
5
,
??
2
=
5
,

and
??
3
=
5
. ANOVA table inclu
des
:

Source

df

SS

MS

F
-
statistic

Groups
E
o
282
Total
402
STAT 2040 Class Activity 15 Points XXXXXXXXXXName:
1. An experiment is conducted to study how different sandwich fillings might affect the mean number
of ants attracted to pieces of a sandwich. See the data ‘ Sandwich Ants”.
a) Produce boxplot for the number of ants across different types of
ead.





) Calculate group means, variances, and sizes.
Group Sample mean (??
??
)
Sample variance (??
??
2
)
Sample size(??
??
)





c) Calculate
TSS=
SST=
SSE=
d) Write the complete ANOVA table.




e) Conclude.

2. Three groups with ??
1
=5,??
2
=5, and ??
3
=5. ANOVA table includes:
Source df SS MS F-statistic
Groups
E
or 282
Total 402
Answered 6 days After Nov 30, 2022

Solution

Monica answered on Dec 07 2022
38 Votes
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