Take one of your classmates’ data sets. 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...

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Take one of your classmates’ data sets. 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? Here is my classmates data sets to analyze- see attached file


Shanna Kay Boyd Discussion C Being in nursing school I can say my sleep pattern is so off, so I decided to collected data about hours of sleep I had in a week. Collecting relative data makes me realize a lot of things such as why I’m tired at a specific time of day. How many hours I worked, how many hours I study a and how many hours I spend time with my son pre week. It’s remarkable how much time we spend doing things not realize the time that spent doing it. After collecting data, I was enlightens based on my data it seemed that Wednesday was the curve of the week making it the day, I had less sleep. Which I work 6 am to 6:30 pm then put up my son for basketball practices and go home to study. End of December, first week in January I calculated sleeping Su-9 Mon-7 Tue-6 Wed-5 Thurs-6 Fri-8 Sat-8 and that was a total of 103 hours that week. Mean: 7 Median: 7 Days and hours of sleep Equation Standard deviation Sunday-9 9-7=2 √2= 4 Monday-7 7-7=0 √0= 0 Tuesday-6 6-7=-1 √-1= I Wednesday-5 5-7=-2 √-2= 1.41421356 i Thursday-6 6-7=-1 √-1= I Friday-8 8-7=1 √1= 1 Saturday-8 8-7=1 √1= 1 Shanna Kay Boyd Discussion C Being in nursing school I can say my sleep pattern is so off, so I decided to collected data about hours of sleep I had in a week. Collecting relative data makes me realize a lot of things such as why I’m tired at a specific time of day. How many hours I worked, how many hours I study a and how many hours I spend time with my son pre week. It’s remarkable how much time we spend doing things not realize the time that spent doing it. After collecting data, I was enlightens based on my data it seemed that Wednesday was the curve of the week making it the day, I had less sleep. Which I work 6 am to 6:30 pm then put up my son for basketball practices and go home to study. End of December, first week in January I calculated sleeping Su-9 Mon-7 Tue-6 Wed-5 Thurs-6 Fri-8 Sat-8 and that was a total of 103 hours that week. Mean: 7 Median: 7 Days and hours of sleep Equation Standard deviation Sunday-9 9-7=2 √2= 4 Monday-7 7-7=0 √0= 0 Tuesday-6 6-7=-1 √-1= I Wednesday-5 5-7=-2 √-2= 1.41421356 i Thursday-6 6-7=-1 √-1= I Friday-8 8-7=1 √1= 1 Saturday-8 8-7=1 √1= 1
Answered Same DayJan 27, 2021

Answer To: Take one of your classmates’ data sets. Take 30 random samples of 5 data points each (one way: Past...

Shubham answered on Feb 01 2021
141 Votes
A classmates datasets are chosen which represent the hours of slept on different days in a week
    >
x = c(9,7,6,5,6,8,8)
> days = c("Sunday","Monday","Tuesday","Wednesday","Thursday","Friday","Saturday")
> names(x)= days
# Barplot of original data
> barplot(x,col = "blue",ylab = "Hours slept", main = "Barplot of hours slept" )
From the bar plot we see that the data is not normally distributed, So further we perform CLT to see
Whether the sample means are normally distribted.
# Generating a arbitrary matrix and assigning 30 random samples of 5 data point each.
> sample_data = 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){
+ sample_data[i,j]=y[j]
+ }
+ }
> sample_dat
# Each row of matrix represent a sample with 5 observations each
[,1] [,2] [,3] [,4] [,5]

[1,] 6 8 6 5 8
[2,] 6 8 6 8 7
[3,] 6 9 ...
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