Find the indicated x score. The graph depicts the standard normal distribution w

Question

Find the indicated x score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 1) Shaded area is 0.4483. A) -0.13 B) 0.3264 C) 0.13 D) 0.6756 Provide an appropriate response. 2) Personal phone calls received in the last three days by a new employee were 2.3, and 7. Assume that samples of size 2 are randomly selected with replacement from this population of three values. List the different possible samples, and find the mean of each of them. Solve the problem. 3) A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanizes are randomly selected, find the probability that their mean rebuild time exceeds 9.1 hours. A) 0.1046 B) 0.0069 C) 0.1285 D) 0.0046 Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. A) 0.8212 B) 0.6424 C) 0.1788 D) 0.3576 Solve the problem. 5) A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time is less than 8.9 hous. A) 0.9756 B) 0.9608 C) 0.4276 D) 0.9589

Explanation / Answer

1). C0.13

P( z >0.13) =0.4483

2).

sample 1

sample 2

mean

2

2

2

2

3

2.5

2

7

4.5

3

2

2.5

3

3

3

3

7

5

7

2

4.5

7

3

5

7

7

7

3).

Z=(9.1-8.4)/(1.8/sqrt(40)) =2.46

P( x >9.1) =P( z >2.46) =0.0069

4).

P( z <0.92) –P( z < -0.92) =0.8212 -0.1788 =0.6424

5).

Z=(8.9-8.4)/(1.8/sqrt(40)) =1.76

P( x <8.4) =P( z < 1.76) =0.9608

sample 1

sample 2

mean

2

2

2

2

3

2.5

2

7

4.5

3

2

2.5

3

3

3

3

7

5

7

2

4.5

7

3

5

7

7

7

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