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olga55 [171]
4 years ago
5

For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the s

ample mean and standard deviation?​
Mathematics
1 answer:
Ber [7]4 years ago
3 0

Answer:

Sample mean = 30

Standard deviation = 10

Step-by-step explanation:

A system with two linear equations can be modeled with the information given in order to find the sample mean (M) and the standard deviation (s):

z=\frac{X-M}{s}\\\\1.50=\frac{45-M}{s} \\1.00=\frac{40-M}{s}

Solving the linear system:

40-M = \frac{45-M}{1.5}\\M=\frac{15}{0.5}\\M=30\\\\s=\frac{45-30}{1.5}\\s=10

The sample mean is 30 while the standard deviation is 10.

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