You randomly choose 16 unfurnished one-bedroom apartments from a large number of advertisements in your local newspaper. You calculate that their mean monthly rent is $613 and their standard deviation is $96. Does this SRS give good reason to believe that the mean rent of all advertised one-bedroom apartments is greater than $550? State the hypotheses.

Fill in the blanks:

The t statistic is ______ (give your answer to 3 decimal places) with df = _____ (Give your answer as a whole number) and P-value of ______ (Give your answer to 4 decimal places).
So i figured out that the t-stat is 1.753 and the df=15. but i don't know how to calculate the p-value.

1 answer

Ho:µ= 550
Ha:µ> 550

t = (613-550)/(96/sqrt(16)

t = 2.625

p-value
Right-tailed

tcdf(2.625, 10, 15) = 0.0096