I have no idea how to solve these types of problems. Can anyone
help me out?
If n=20,
μ=15,
=20 and S=10, to do a one-sided hypothesis test
with significance level,
α=1%,
you will read a t-value table of:
n = 20
Sample Size
x̅ = 20
Sample Mean
s = 10
Sample Standard
Deviation
μ = 15
Population Mean
α = 0.01 1% level of
significance
We have to do a one-sided hypothesis
test
Since sample mean is greater than population mean, we do the
one-sided right tailed
test
One sided right tailed
test
The null and alternative hypotheses are
Ho : μ =
15
Ha : μ >
15
(Right sided
test)
Test statistic t is given by
test statistic t =
2.2361
df = Degrees of freedom = n - 1 = 20 -1 =
19
We find the p-value using Excel function T.DIST (t, df,
TRUE)
p-value = 1 - T.DIST(2.2361, 19,
TRUE)
p-value =
0.0188
Since 0.0188 >
0.01
that is p-value >
α
Hence we do not reject
Ho
Decision :
Fail to reject
Ho
Conclusion
There is not enough statistical evidence to conclude that
the population mean is greater than
15
I have no idea how to solve these types of problems. Can anyone help me out?...
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