You wish to test the following claim ( H a ) at a significance level of α = 0.001 .
H o : μ = 67.3
H a : μ ≠ 67.3
You believe the population is normally distributed and you know the standard deviation is σ = 8.7 . You obtain a sample mean of M = 70.2 for a sample of size n = 23 .
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =