Answer:
False
Step-by-step explanation:
H0: µ ≤ 42
HA: µ > 42
S represents the sample standard deviation, then we must use the t-student test.
t-statistic formula:
t= (xbar-m)/(S/(sqrt(n)))
xbar: sample mean
m: hypothesized value
S: sample standard deviation
n: number of observations
t=(45-42)/(1.2/sqrt(15))
t-statistic= 9.682
The critical value from the t-student distribution with, 15-1 degrees of freedom and 1% significance level , is 2.6245
Because the t-statistic is greater than the critical value, we must reject the null hypothesis.