Choose one of your classmates’ data sets (see attached data to analyze). Take 30 random samples of 5 data points each (one way: Past the data herehttp://www.randomizelist.com/randomize the list and...

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Choose one of your classmates’ data sets (see attached data to analyze). Take 30 random samples of 5 data points each (one way: Past the data herehttp://www.randomizelist.com/randomize the list and take the first 5 numbers, or use the sampling feature athttp://www.brianreedpowers.com/MAT240/stats/descriptiveStats.html), and calculate the average for each of these samples. You will now have 30 sample means. Create and post a histogram for your sample means. What is the mean of these means? What is the standard deviation? Does this make sense based on the Central Limit Theorem? Do the sample means follow a normal distribution? What p-value does the normality test give? How and why does this differ from the original data?


Felicia Hendrix Bennett Discussion C Central Limit Theorem 1/23/2020 Discussion C: Central Limit Theorem This is the expected number of email I received from my official email daily. Number of Days No of emails X X^2 Relative Frequency/Empirical Probability P(X) x Pr(x) x² Pr (x) 1 1 1 0.03 0.03 0.03 2 1 1 0.03 0.03 0.03 3 1 1 0.03 0.03 0.03 4 5 25 0.16 0.8 4.25 5 3 9 0.1 0.3 0.9 6 4 16 0.12 0.48 2.08 7 5 25 0.16 0.8 4.25 8 1 1 0.03 0.03 0.03 9 4 16 0.12 0.48 2.08 10 5 25 0.16 0.8 4.25 SUM 31 0.94 3.78 17.93 StatisticData Set Sample Size (n) = Measures of Center Mean (x̄) =3.78 or 3.8 Standard Deviation (s) =1.3 Other Statistics Standard Deviation Estimation: 95% confidence interval for σ : (1.72) From the plotted histogram the data seems to follow the curve of increasing and decreasing curve This data seems to be deviating. Data Set: Data Set Shapiro-Wilk Test: W=0.974, (p-value = 0.639) Since my p-value is less than the alpha of 3.78 then the Null must go. I support the claim to the alternative hypothesis. Felicia Hendrix Bennett Discussion C Central Limit Theorem 1/23/2020 Discussion C: Central Limit Theorem This is the expected number of email I received from my official email daily. Number of Days No of emails X X^2 Relative Frequency/Empirical Probability P(X) x Pr(x) x² Pr (x) 1 1 1 0.03 0.03 0.03 2 1 1 0.03 0.03 0.03 3 1 1 0.03 0.03 0.03 4 5 25 0.16 0.8 4.25 5 3 9 0.1 0.3 0.9 6 4 16 0.12 0.48 2.08 7 5 25 0.16 0.8 4.25 8 1 1 0.03 0.03 0.03 9 4 16 0.12 0.48 2.08 10 5 25 0.16 0.8 4.25 SUM 31 0.94 3.78 17.93 StatisticData Set Sample Size (n) = Measures of Center Mean (x̄) =3.78 or 3.8 Standard Deviation (s) =1.3 Other Statistics Standard Deviation Estimation: 95% confidence interval for σ : (1.72) From the plotted histogram the data seems to follow the curve of increasing and decreasing curve This data seems to be deviating. Data Set: Data Set Shapiro-Wilk Test: W=0.974, (p-value = 0.639) Since my p-value is less than the alpha of 3.78 then the Null must go. I support the claim to the alternative hypothesis.
Answered Same DayJan 23, 2021

Answer To: Choose one of your classmates’ data sets (see attached data to analyze). Take 30 random samples of 5...

Shubham answered on Jan 29 2021
132 Votes
One of our classmates datasets are chosen as the expected number of email I received from my official email daily.
> x = c(1,1,1,5,3,4,5,1,4,5)
# Taking 30 random samples of size 5 each. In the matrix given below each row denotes a sample of size 5.
# First generating a arbitrary matrix and then assign the values of samples
> matr = matrix(c(1,2),nrow = 30,ncol = 5,byrow = T)
> for( i in 1:30){
+ y=sample(x,size = 5,replace = F)
+ for (j in 1:5){
+ matr[i,j]=y[j]
+ }
+ }
> matr
[,1] [,2] [,3] [,4] [,5]
[1,] 1 5 4 1 3
[2,] 5 4 1 4 1
[3,] 1 5 5 1 4
[4,] 4 5 3 5 4
[5,] 5 5 1 1 5
[6,] 1 1 5 5 3
[7,] 1 1 5 1 5
[8,] 1 3 1 4 5
[9,] 5 3 1 5 4
[10,] 4 5 5 1 4
[11,] 3 1 5 1 5
[12,] 3 1 5...
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