Answer:
The standard error (SE) is 0.1847.
The t-statistic for this test is 2.490.
Step-by-step explanation:
We are given that the sample has a mean of = 101.09 and a standard deviation of s = 0.4887 .
Also, the 7 sample values are also given.
<u><em>Let </em></u><u><em> = population mean.</em></u>
So, Null Hypothesis, :
= 100.63
Alternate Hypothesis, :
> 100.63
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;
T.S. = ~
where, = sample mean = 101.09
s = sample standard deviation = 0.4887
n = sample values = 7
The Standard Error (SE) is given by = =
= 0.1847
So, <em><u>test statistics</u></em> = ~
= 2.490
The value of t test statistics is 2.490.