Question 1083194
Ho: X = 2
H1: X < 2
:
This is a one-tailed test
:
standard error(SE) = 3/square root(50) = 0.42
:
since we do not know the standard deviation of the population, we use the t-statistic
:
degrees of freedom(df) = 50 -1 = 49
:
t-statistic = (2.2 - 2) / 0.42 = 0.48
:
use the t-tables to find probability(P)
:
P ( X > 0.48) = 0.32 (p-value)
:
since our p-value is > 0.05, we accept the Ho hypothesis