Suppose that X is a normal random variable with mean 48.5 and standard deviation o = 6.8. Let denote the variable for the process of taking a random sample and calculating the sample mean (We called this the sampling distribution of the sample mean). Suppose that the sample size is

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Suppose that X is a normal random
variable with mean
48.5 and standard deviation
=
6.8. Let
denote the variable for the process of
taking a random sample and calculating
the sample mean (We called this the
sampling distribution of the sample
mean). Suppose that the sample size is
22. Calculate the Z-score associated
with observing a sample mean of
51.4. Enter your answer to two
decimal places. Hint: Use the formula
to compute the Z-score
x - HX
Transcribed Image Text:Suppose that X is a normal random variable with mean 48.5 and standard deviation = 6.8. Let denote the variable for the process of taking a random sample and calculating the sample mean (We called this the sampling distribution of the sample mean). Suppose that the sample size is 22. Calculate the Z-score associated with observing a sample mean of 51.4. Enter your answer to two decimal places. Hint: Use the formula to compute the Z-score x - HX
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