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if you select a random sample of full-time college students, there is an hance that the sample mean is less than how many hours per week?

Sagot :

The sample mean is less than 26.92 hours per week .

What is  standard deviation?

Your dataset's average level of variability is represented by the standard deviation. In general, it reveals how far away from the mean each value is.

                  A low standard deviation denotes that values are grouped closely to the mean, while a high standard deviation denotes that values are typically spread widely from the mean.

Let X~ Normal (26, 4/√16) distribution ie Normal (26, 1) distribution

We want,

P(X<a) = 0.82

Using standard normal approximation,

P(z< (a-26)/1) = 0.82

Using standard normal distribution tables, we get

(a-26)/1 = 0.915

(Since P(z<0.915) = 0.82)

So, a= 26+0.915= 26.915

So the required value is 26.92 (rounded to two decimals)

Learn more about  standard deviation

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