Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:
In which X is the sample mean, 
is the expected mean, 
is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that 
.
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that 
. So
The value of the test statistic is of 0.22.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 25235
For the alternative hypothesis,
µ > 25235
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 27524
µ = population mean = 25235
s = samples standard deviation = 6000
t = (27524 - 25235)/(6000/√100) = 3.815
We would determine the p value using the t test calculator. It becomes
p = 0.000119
Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
Answer:
x ≈ 54.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 54.8° ( to the nearest tenth )
