Question

7 Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.8-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 98% of most head breadths? Between and . If you were to draw samples of size 59 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male he ads in the sample? Between and . Enter your answers as numbers. Your answers should be accurate to 2 decimal places. 2)A population of values has a normal distribution with mu = 5.1 and sigma = 74.2 . You intend to draw a random sample of size n = 125 . Find the probability that a sample of size n = 125 is randomly selected with a mean between 23.7 and 26.3. P(23.7 < M < 26.3) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

          7
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.8-in and a standard deviation of 0.9-in.
In what range would you expect to find the middle 98% of most head breadths?
Between 
 and 
.
If you were to draw samples of size 59 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male he
ads in the sample?
Between 
 and 
.
Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
2)A population of values has a normal distribution with  
mu 
=
5.1
  and  
sigma 
=
74.2
 . You intend to draw a random sample of size  
n
=
125
 .
Find the probability that a sample of size  
n
=
125
  is randomly selected with a mean between 23.7 and 26.3.
P(23.7 < M < 26.3) = 
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Added by Cynthia G.

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