In: Statistics and Probability
To test the hypothesis H0 : µ = 5 vs. Ha : µ 6= 5, a random sample of 18 elements is selected which yielded a sample mean of x¯ = 4.6 and a sample standard deviation of s = 1.2. The value of the test statistic is about:
(a) −2.121 (b) −1.923 (c) −1.414 (d) 0.345 (e) 1.455
n = 18
sample mean = 4.6
sample sd = 1.2
Assuming that the data is normally distributed, also as the population sd is not given, we will calculate t stat
t = -0.4. / 0.2828
t = -1.414
ANS : (c) −1.414