In: Statistics and Probability
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 81 is
0.1587 |
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0.0062 |
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0.0228 |
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0.0668 |
Population Mean = = 80
Standard deviation = = 7
Sample Size = n = 49
Let be the sample mean.
From Central Limit Theorem, we have,
We have to find,
(Value from attached z table)
The probability that the mean from that sample will be larger than 81 is 0.1587
z table :