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I need help in this statistics problem. Can somebody help?

Motivation behind standard deviation?Calculating mean and standard deviation of very large sample sizesBeginning statistics, simple confidence interval problemProbability distribution; what is probability that i wont spend more than 75% of the customers2 simple statistics questions regarding probability and means.Percentage greater than 2 standard deviations from the meanHow to determine notable change in a sequence of numbers?Statistics Hypothesis Testing + binomial table problemSolving formulas involving multiple means and standard deviationsCould someone explain this results section from a study? (very elementary question)

0

$begingroup$

So I have this raw data for a case study:

Note: 1 stands for average weight and 2 for overweight.

I need to calculate the following:

1. What is the mean expected time spent for the average-weight
   patients? What is the mean expected time spent for the overweight
   patients?


2. What is the difference in means between the groups? By approximately
   how many standard deviations do the means differ?

I have already solved the first one and the first part of the 2nd question. However how do I answer the 2nd part of the 2nd question?(the standard deviations part)

Answers:

1) Average weight mean = 31.36; overweight mean = 24.74

2) Difference = 6.62; they differ by 0.68 standard deviations

statistics standard-deviation means

share|cite|improve this question

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  There is a formula for standard deviation in your textbook. Apply it to the whole sample - not just group 1 or 2. How many times the standard deviation is the difference?
  $endgroup$
  – Paul Sinclair
  Mar 22 at 3:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I got the standard deviation of the whole sample as 10.238. Dividing the difference between the means by this gives me 0.65. Is this how you wanted me to solve? If it is can you explain how this corresponds to the answer? .
  $endgroup$
  – RaphX
  Mar 22 at 6:55
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Obviously they used a different standard deviation. I don't know if your formula was std dev for the full population (where you divide by $n$) or for a sample (where you divide by $n-1$), nor which would be appropriate here since I don't know the source nor use of this data, but that is too small to explain the difference. My guess is that they used the std dev of either just the "1" entries or of just the "2" entries. But I don't see a justification for using either instead of the full population.
  $endgroup$
  – Paul Sinclair
  Mar 22 at 12:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is possible.
  $endgroup$
  – RaphX
  Mar 22 at 13:29
  

  
  
  
  

add a comment | 

0

$begingroup$

So I have this raw data for a case study:

Note: 1 stands for average weight and 2 for overweight.

I need to calculate the following:

1. What is the mean expected time spent for the average-weight
   patients? What is the mean expected time spent for the overweight
   patients?


2. What is the difference in means between the groups? By approximately
   how many standard deviations do the means differ?

I have already solved the first one and the first part of the 2nd question. However how do I answer the 2nd part of the 2nd question?(the standard deviations part)

Answers:

1) Average weight mean = 31.36; overweight mean = 24.74

2) Difference = 6.62; they differ by 0.68 standard deviations

statistics standard-deviation means

share|cite|improve this question

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  There is a formula for standard deviation in your textbook. Apply it to the whole sample - not just group 1 or 2. How many times the standard deviation is the difference?
  $endgroup$
  – Paul Sinclair
  Mar 22 at 3:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I got the standard deviation of the whole sample as 10.238. Dividing the difference between the means by this gives me 0.65. Is this how you wanted me to solve? If it is can you explain how this corresponds to the answer? .
  $endgroup$
  – RaphX
  Mar 22 at 6:55
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Obviously they used a different standard deviation. I don't know if your formula was std dev for the full population (where you divide by $n$) or for a sample (where you divide by $n-1$), nor which would be appropriate here since I don't know the source nor use of this data, but that is too small to explain the difference. My guess is that they used the std dev of either just the "1" entries or of just the "2" entries. But I don't see a justification for using either instead of the full population.
  $endgroup$
  – Paul Sinclair
  Mar 22 at 12:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is possible.
  $endgroup$
  – RaphX
  Mar 22 at 13:29
  

  
  
  
  

add a comment | 

$begingroup$

So I have this raw data for a case study:

Note: 1 stands for average weight and 2 for overweight.

I need to calculate the following:

1. What is the mean expected time spent for the average-weight
   patients? What is the mean expected time spent for the overweight
   patients?


2. What is the difference in means between the groups? By approximately
   how many standard deviations do the means differ?

I have already solved the first one and the first part of the 2nd question. However how do I answer the 2nd part of the 2nd question?(the standard deviations part)

Answers:

1) Average weight mean = 31.36; overweight mean = 24.74

2) Difference = 6.62; they differ by 0.68 standard deviations

statistics standard-deviation means

share|cite|improve this question

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

$endgroup$

share|cite|improve this question

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

share|cite|improve this question

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

edited Mar 22 at 3:08

Paul Sinclair

20.7k21543

asked Mar 21 at 18:02

RaphXRaphX

167

asked Mar 21 at 18:02

RaphXRaphX

167