A population that is uniformly distributed between a=0and b=10 is given in sample sizes ​50(   ​), ​100(   ​), ​250(   ​), and ​500(   ​). Find the sample mean and the sample standard deviations for the given data. Compare your results to the average of means for a sample of size​ 10, and use the empirical rules to analyze the sampling error. For each​ sample, also find the standard error of the mean using formula given below.   Standard Error of the Mean =sigma/Root  Complete the following table with the results from the sampling experiment. ​(Round to four decimal places as​ needed.) Sample Size Average of 8 Sample Means Standard Deviation of 8 Sample Means Standard Error 50       100       250       500

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A population that is uniformly distributed between a=0
and b=10 is given in sample sizes
​50(   ​),
​100(   ​),
​250(   ​),
and
​500(   ​).
Find the sample mean and the sample standard deviations for the given data. Compare your results to the average of means for a sample of size​ 10, and use the empirical rules to analyze the sampling error. For each​ sample, also find the standard error of the mean using formula given below.
 
Standard Error of the
Mean =sigma/Root 
Complete the following table with the results from the sampling experiment.
​(Round to four decimal places as​ needed.)
Sample Size
Average of 8 Sample Means
Standard Deviation of 8 Sample Means
Standard Error
50
     
100
     
250
     
500
     
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