Mean from Spokane: 227.75 Sample SD: 77.20 Mean from Seattle: 341.86 Sample SD:

Question

Mean from Spokane: 227.75 Sample SD: 77.20
Mean from Seattle: 341.86 Sample SD: 87.46 (1)-hea x®y People followi Facebook HelGrades for Aly X ewu.edu/courses/1185392/quizzes/1016140/take My TurboTax® × Question 4 1 pts Using the mean and sample standard deviation for Spokane (even if the scores in this problem don't exist within the distribution): what is the proportion of scores for the area under the curve between 312 and 157? What is the proportion of the area under the curve for scores less than 168? Question 5 1 pts Using the mean and sample standard deviation for Seattle (even if the scores in this problem don't exist within the distribution): What is the proportion of the area under the curve for scores greater than the score 423? What is the proportion of the area under the curve for scores less than 229?

Explanation / Answer

Answer:

Question 4

Mean from Spokane: 227.75

Sample SD: 77.20

Z value of 312, z =(312-227.75)/77.20 =1.09

Z value of 157, z =(157-227.75)/77.20 = -0.92

P( 157<x<312) = P(-0.92<z<1.09)

=P( z < 1.09) – P( z < -0.92)

=0.8621 -0.1788

=0.6833

Z value of 168, z =(168-227.75)/77.20 = -0.77

P( x <168) = P( z < -0.77)

=0.2206

Question 5

Mean from Seattle: 341.86

Sample SD: 87.46

Z value of 423, z =(423-341.86)/87.46 = 0.93

P( x >423) =P( z > 0.93)

=0.1762

Z value of 229, z =(229-341.86)/87.46 = -1.29

P( x < 229) =P( z < -1.29)

=0.0985

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