Question

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?

Answer 1

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

`SE =s/sqrt(n)=4/sqrt(150)=4/12.25=0.3265`

Calculate t value for the given values.

`t=(barx-mu)/(SE)=(16-8)/(0.3265)=8/(0.3265)=24.5`

The Calculated "t' value is`24.5`