Answer:
Value of test statistics = 2.30
Step-by-step explanation:
We are given that for a sample of 35 items from a population for which the standard deviation is 20.5, the sample mean is 458.
Also, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 450
Alternate Hypothesis, [tex]H_1[/tex] : [tex]\mu\neq[/tex] 450
The test statistics that will be used here is One sample t-test statistics;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = 458
s = sample standard deviation = 20.5
n = sample of items = 35
So, test statistics = [tex]\frac{458-450}{\frac{20.5}{\sqrt{35} } }[/tex] ~ [tex]t_3_4[/tex]
= 2.30
Therefore, the value of test statistics is 2.30 .
