# If the sample mean = 16, population mean = 8, sample standard deviation = 4, and sample size = 150, what is the one sided t-score of the sample?

Dec 10, 2015

The Calculated "t' value is$24.5$
Table value (t Value) for 5% level of significance and 149 degrees of freedom is $1.645$

#### Explanation:

You didn't give the significance level.
Let me use 5% significance level.

Since the sample mean is greater than population mean, we can go for Right Tail test.

Table value (t Value) for 5% level of significance and 149 degrees of freedom is 1.645

Calculate Standard Error

$S E = \frac{s}{\sqrt{n}} = \frac{4}{\sqrt{150}} = \frac{4}{12.25} = 0.3265$

Calculate t value for the given values.

$t = \frac{\overline{x} - \mu}{S E} = \frac{16 - 8}{0.3265} = \frac{8}{0.3265} = 24.5$

The Calculated "t' value is$24.5$