Question 1

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In a time study,conducted at a manufacturing plant,the length of time to complete a specified operation is measured for each on n = 40 workers.The mean and standard deviation are found to be 15.2 and 1.40,respectively.
-Describe the sample data using the Empirical Rule.

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Question 2

What effect,if any,does subtracting 5 from every observation have on the sample mean and sample variance?

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Question 3

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Consider the following scores on a 20 point aptitude test for two samples of eight students each:
Sample 1: 18,19,17,15,14,20,14,and 16
Sample 2: 14,15,13,11,10,16,10,and 12
-Calculate the mean score in sample 1.

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Question 4

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Consider the following scores on a 20 point aptitude test for two samples of eight students each:
Sample 1: 18,19,17,15,14,20,14,and 16
Sample 2: 14,15,13,11,10,16,10,and 12
-Calculate the mean score in sample 2.

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Question 5

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Consider the following scores on a 20 point aptitude test for two samples of eight students each:
Sample 1: 18,19,17,15,14,20,14,and 16
Sample 2: 14,15,13,11,10,16,10,and 12
-Calculate the variance for the scores in sample 2.

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Question 6

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Calculate the following sample observations on fracture strength:
128,131,142,168,87,93,105,114,96,and 98.
-Calculate and interpret the value of the sample standard deviation,

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Question 7

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A sample of eight doctors was asked how many flu shots they had given to patients this fall.The numbers of flu shots were 6,3,5,24,2,6,0,and 8.
-Find the median time to learn this task.

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Question 8

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Consider the following scores on a 20 point aptitude test for two samples of eight students each:
Sample 1: 18,19,17,15,14,20,14,and 16
Sample 2: 14,15,13,11,10,16,10,and 12
-Calculate the variance for the scores in sample 1.

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Question 9

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The following data represent scores on a 15 point aptitude test: 8,10,15,12,14,and 13.
-Subtract 5 from every observation and compute the sample mean for the original data and the new data.

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Question 10

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The following data represent scores on a 15 point aptitude test: 8,10,15,12,14,and 13.
-Subtract 5 from every observation and complete the sample variance for the original data and the new data.

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Question 11

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A sample of 33 students was asked to rate themselves on whether they were outgoing or not using this five point scale: 1 = extremely extroverted,2 = extroverted,3 = neither extroverted nor introverted,4 = introverted,or 5 = extremely introverted.The results are shown in the table below:
 
-Calculate the sample mean.

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Question 12

You may have noticed that each score in sample 2 is obtained by subtracting 4 from the corresponding score in sample 1.Write your conclusion based on the measures of central tendency and variability.

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Question 13

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The following data represents the number of minutes an athlete spends training per day.
  
The mean and standard deviation were computed to be 85.54 and 6.97,respectively.The median is 85.5
-What percentage of measurements would you expect to be between 71.60 and 99.48?

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Question 14

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In a time study,conducted at a manufacturing plant,the length of time to complete a specified operation is measured for each on n = 40 workers.The mean and standard deviation are found to be 15.2 and 1.40,respectively.
-Describe the sample data using Chebyshev's Theorem.

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Question 15

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A sample of eight doctors was asked how many flu shots they had given to patients this fall.The numbers of flu shots were 6,3,5,24,2,6,0,and 8.
-Find the sample mean.

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Question 16

Find the percentage of measurements in the intervals  
± s and  
± 2s.Compare these results with the Empirical Rule percentages,and comment on the shape of the distribution.

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Question 17

Based on the values of the mean and median in the previous two questions,are the measurements symmetric or skewed? Why?

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Question 18

A large sample is selected from a bell-shaped distribution.The middle 99.7% of the sample data falls between 24.2 and 69.2.Estimate the sample mean and the sample standard deviation.

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Question 19

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A sample of 33 students was asked to rate themselves on whether they were outgoing or not using this five point scale: 1 = extremely extroverted,2 = extroverted,3 = neither extroverted nor introverted,4 = introverted,or 5 = extremely introverted.The results are shown in the table below:
 
-Calculate the median.

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Question 20

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A sample of 33 students was asked to rate themselves on whether they were outgoing or not using this five point scale: 1 = extremely extroverted,2 = extroverted,3 = neither extroverted nor introverted,4 = introverted,or 5 = extremely introverted.The results are shown in the table below:
 
-Calculate the sample standard deviation.

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Quiz 2: Describing Data: Numerical

What effect,if any,does subtracting 5 from every observation have on the sample mean and sample variance?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following scores on a 20 point aptitude test for two samples of eight students each: Sample 1: 18,19,17,15,14,20,14,and 16 Sample 2: 14,15,13,11,10,16,10,and 12 -Calculate the mean score in sample 1.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following scores on a 20 point aptitude test for two samples of eight students each: Sample 1: 18,19,17,15,14,20,14,and 16 Sample 2: 14,15,13,11,10,16,10,and 12 -Calculate the mean score in sample 2.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following scores on a 20 point aptitude test for two samples of eight students each: Sample 1: 18,19,17,15,14,20,14,and 16 Sample 2: 14,15,13,11,10,16,10,and 12 -Calculate the variance for the scores in sample 2.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Calculate the following sample observations on fracture strength: 128,131,142,168,87,93,105,114,96,and 98. -Calculate and interpret the value of the sample standard deviation,

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of eight doctors was asked how many flu shots they had given to patients this fall.The numbers of flu shots were 6,3,5,24,2,6,0,and 8. -Find the median time to learn this task.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following scores on a 20 point aptitude test for two samples of eight students each: Sample 1: 18,19,17,15,14,20,14,and 16 Sample 2: 14,15,13,11,10,16,10,and 12 -Calculate the variance for the scores in sample 1.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following data represent scores on a 15 point aptitude test: 8,10,15,12,14,and 13. -Subtract 5 from every observation and compute the sample mean for the original data and the new data.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following data represent scores on a 15 point aptitude test: 8,10,15,12,14,and 13. -Subtract 5 from every observation and complete the sample variance for the original data and the new data.

You may have noticed that each score in sample 2 is obtained by subtracting 4 from the corresponding score in sample 1.Write your conclusion based on the measures of central tendency and variability.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of eight doctors was asked how many flu shots they had given to patients this fall.The numbers of flu shots were 6,3,5,24,2,6,0,and 8. -Find the sample mean.

Find the percentage of measurements in the intervals ± s and ± 2s.Compare these results with the Empirical Rule percentages,and comment on the shape of the distribution.

Based on the values of the mean and median in the previous two questions,are the measurements symmetric or skewed? Why?

A large sample is selected from a bell-shaped distribution.The middle 99.7% of the sample data falls between 24.2 and 69.2.Estimate the sample mean and the sample standard deviation.