efletcher011913 efletcher011913

15-05-2023
Mathematics

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Find u if a normal distribution has a standard deviation of 3.5 with a z-score of -0.74 for a value of 6.2

Find u if a normal distribution has a standard deviation of 35 with a zscore of 074 for a value of 62 class=

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mhanifa mhanifa

15-05-2023

Answer:

8.79

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Use the formula for z-score

z = (x - μ) / σ

Substituting the given values, we get:

-0.74 = (6.2 - μ) / 3.5

Solve it for mean μ:

-0.74 * 3.5 = 6.2 - μ
-2.59 = 6.2 - μ
μ = 6.2 - (-2.59)
μ = 8.79

Therefore, the mean of the normal distribution is 8.79.

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