P(X>45000) 45000 P(Z.)4500 - 35uul 35441 5las P(Z>l.8743) 1- d(1.8743 1-0.9696 B). For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000? (In order to receive full credit, be śure you draw a picture, identify your variables, show any formulas and work and =0.0304 v label vour answer correctly

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Sure! Below is the transcription of the text visible in the image:

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P(X > 45000)

\[ \text{P}(Z > \frac{45000 - 35441}{5108}) \]

\[ \text{P}(Z > 1.8743) \]

\[ 1 - \Phi(1.8743) \]

\[ 1 - 0.9696 = 0.0304 \]

B). For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000? (In order to receive full credit, be sure you draw a picture, identify your variables, show any formulas and work and label your answer correctly.)

[There is a partial graph drawn above the text, depicting a normal distribution curve. A vertical line at a certain point on the x-axis is marked as 45000, and the area to the right of this point is shaded, indicating the probability being calculated.]

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Transcribed Image Text:Sure! Below is the transcription of the text visible in the image: --- P(X > 45000) \[ \text{P}(Z > \frac{45000 - 35441}{5108}) \] \[ \text{P}(Z > 1.8743) \] \[ 1 - \Phi(1.8743) \] \[ 1 - 0.9696 = 0.0304 \] B). For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000? (In order to receive full credit, be sure you draw a picture, identify your variables, show any formulas and work and label your answer correctly.) [There is a partial graph drawn above the text, depicting a normal distribution curve. A vertical line at a certain point on the x-axis is marked as 45000, and the area to the right of this point is shaded, indicating the probability being calculated.] ---
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