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Suppose the GPA of all students enrolled in a particular course can be modelled by a...

Suppose the GPA of all students enrolled in a particular course can be modelled by a
certain distribution with a mean of 3.4 and variance 0.3. Compute the probability that the
mean GPA of a random sample of 40 students selected from this course will be:
(i) lower than 3.2
(ii) between 3.3 and 3.6

math   Statistics-And-Probability   
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Answer #1

Given Variance = 0.3, SD = sqrt(0.3) = 0.5477

i) The probability that the mean GPA of a random sample of 40 students selected from this course will be lower than 3.2

Given

A = 3.4, J = 0.5477, n = 40 We need to compute Pr(I <3.2). The corresponding z-value needed to be computed: Z= X-u Ovn 3.2 -

b) The probability that the mean GPA of a random sample of 40 students selected from this course will be between 3.3 and 3.6 is

A = 3.4, J = 0.5477, n = 40 We need to compute Pr(3.3 < X <3.6). The corresponding z-values needed to be computed are: X -u 3

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