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Addison earned a score of 510 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 26 and a standard
deviation of 5. How well must Addison score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.

Addison Earned A Score Of 510 On Exam A That Had A Mean Of 550 And A Standard Deviation Of 40 She Is About To Take Exam B That Has A Mean Of 26 And A Standard D class=

Sagot :

Answer:

21

Step-by-step explanation:

Algebraic Method: Find Z-Score for Exam A

[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]

​[tex]z=\frac{510-550}{40}[/tex]

​[tex]z=\frac{-40}{40}[/tex]

[tex]z=-1[/tex]

Addison scored 1 standard deviation below the mean.

Plug Z into formula for Exam B:

[tex]-1\frac{x_B-26}{5}[/tex]

[tex]-5=x_B-26[/tex]

[tex]21=x_B[/tex]

Addison would have to score 21 on Exam B

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