Answer and question attached. Can anyone show the steps explain how that is the

Question

Answer and question attached. Can anyone show the steps explain how that is the correct answer?

Question 5 out of5. There is a population of test scores with an unknown standard deviation. You sample 21 scores from this population, and you calculate the mean and standard deviation. You get a value for the mean that is 1.5 standard errors greater than what you think is the population mean. What is the probability that you would get a value 1.5 standard deviations or more from the mean irn this t distribution? Check Answer Previous Question Next Question ncorrect Use the "t distribution" calculator and enter 20 for df and 1.5 for t. You will see that the probability of getting something 1.5 SDs or more from the mean is 0.1492.

Explanation / Answer

Sol:

unknown standard deviation is given use t distribution

sample size=n=21

degrees of freedom=n-1=21-1=20

since it is given

t=1.5

as its is given 1.5 standard deviations above mean.

t=1.5

P(t>=1.5)

use in excel:

=T.DIST.2T(1.5;20)

ANSWER:

0.149236

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