Please answer Questions 1-3. And label each part as well as show your work. Than

Question

Please answer Questions 1-3. And label each part as well as show your work. Thank you so much

Assuming that the heights of boys in a high school basketball tournament arc normally distributed, with mean 70 in. and standard deviation 2.5 in., how many boys in a group of 40 in the tournament will be taller than 75 inches? 2. Let x be a random variable that represents the length of time it takes a student to complete Dr. Gill's Chemistry Lab Project. From long experience, it is know hat x has a normal distribution with mean mu =3.6 hours and standard deviation sigma =0.5 hour. Convert each of the following x intervals to standard I. intervals. a. X > 4.5 b. 3

Explanation / Answer

1.

We first get the z score for the critical value. As z = (x - u) / s, then as          
          
x = critical value =    75      
u = mean =    70      
          
s = standard deviation =    2.5      
          
Thus,          
          
z = (x - u) / s =    2      
          
Thus, using a table/technology, the right tailed area of this is          
          
P(z >   2   ) =    0.022750132

Thus, we expect 0.022750132*40 = 0.91000528 boys to be taller than 75 in.

[ANSWER, 0.91000528, or approximately 1]

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