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Suppose the people living in a city have a mean score of 49 and a standard deviation of 77 on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the 50%minus−​34%minus−​14% figures, approximately what percentage of people have a score​ (a) above 49​, (b) above 56​, (c) above 35 ​(d) above 42​, ​(e) below 49​, ​(f) below 56​, ​(g) below 35​, and​ (h) below 42​?

Question

Suppose the people living in a city have a mean score of 49 and a standard deviation of 77 on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the 50%minus34%minus14% figures, approximately what percentage of people have a score (a) above 49, (b) above 56, (c) above 35 (d) above 42, (e) below 49, (f) below 56, (g) below 35, and (h) below 42?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

check_circleAnswer
Step 1

Hello there! I see there are more than 3 sub parts in the question. According to our policies can asnwer only 3 subparts. Do find the solutions for parts a,b,c. If you need help in remaining parts kindly request as a new quesiton.

Step 2

Given mean score is 49 and standard deviation is 7.

According to empirical rule with in one standard deviation 68% of data lie, with in two standard deviations 95% of data lie and with in three standard deviations 99.7% of data lie and mean divides them equally on both sides as shown in figure below.

 

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Step 3

The percentage of data above 49 is 50%. Here we know 49 is the mean and it divides t...

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