test statistic, p-value?

Question

You wish to test the following claim () at a significance level of .    

      

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

55.7

69.5

43

68

29.5

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic = Incorrect

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value = 

Answer 1

the test statistic is t-calc = (sample mean - population mean)/(sample std dev/sqrt(sample size)

the sample mean is 53.14 and the sample std dev is 17. the population mean is 62.9 and the sample size is 5

t-calc = (53.14 - 62.9)/(17/sqrt(5)) = -1.284

p-value = p(t < -1.28) for 4 DOF = 0.1342