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A sample of size 70 will be drawn from a population with mean 25 and standard deviation 11. Find the probability that x will be between 23 and 26.

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Answer:

0.712

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 11

Sample size (n) = 70

Probability that x will be between 23 and 26

Zscore = (x - mean) / s/√n

For x = 23

Zscore = (23 - 25) / (11/√70)

Zscore = −1.521200

P(Z < - 1.52) = 0.064

For x = 26

Zscore = (26 - 25) / (11/√70)

Zscore = 0.76

P(Z < 0.76) = 0.776

P(Z < 0.76) - P(Z < - 1.52)

0.776 - 0.064 = 0.712