Question

= 0.10. You wish to test the following claim (H) at a significance level of a Ho 55.5 H1 55.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.8 73.6 92.6 87.7 44.2 52.2 81.2 66.7 98.1 64.1 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value= What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... Oin the critical region Onot in the critical region

Answer 1

Rejection Region
This is right tailed test, for α = 0.1 and df = 9
Critical value of t is 1.383.
Hence reject H0 if t > 1.383

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (71.72 - 55.5)/(18.0274/sqrt(10))
t = 2.845

test statistics in the critical region

reject the null

Option D