Answer:
the mean of the population is?
b. significantly greater than 3.
Step-by-step explanation:
Given that the manager of an online shop wants to determine whether the mean length of calling time of its customers is significantly more than 3 minutes
H0: [tex]\bar x = 3\\[/tex]
H1: [tex]\bar x >3\\[/tex]
(Right tailed test for checking mean)
n = Sample size = 100
Sample mean = 3.1
s = Sample std dev = 0.5
Std error of mean = [tex]\frac{s}{\sqrt{n} } \\=0.05[/tex]
Mean difference = 0.10
Since only sample std dev is used, we can use t test only
t = mean diff/std error = [tex]\frac{0.1}{0.05} \\=2[/tex]
df = 99
p value = 0.02412
Since p < 0.05 our significant level, we reject null hypothesis
The conclusion is
the mean of the population is?
b. significantly greater than 3.
