Question

In: Math

Administrative assistants in a local university have been asked to prove their proficiency in the use...

Administrative assistants in a local university have been asked to prove their proficiency in the use of spreadsheet software by taking a proficiency test. Historically, the mean test score has been 74 with a standard deviation of 4. A random sample of size 40 is taken from the 100 administrative assistants and asked to complete the proficiency test.

What is the probability that the sample mean score is more than 75, the predetermined passing score?

Expert Solution

Solution :

Given that ,

mean = = 74

standard deviation = = 4

n = 40

= = 74

= / n = 4 / 40 = 0.632

P( > 75) = 1 - P( < 75)

= 1 - P[( - ) / < (75 - 74) / 0.632]

= 1 - P(z < 1.58)

Using z table,

= 1 - 0.9429

= 0.0571

milcah answered 16 hours ago

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