consider the following hypothesis test, H0, U greater than or equal to 20, Ha less than 20, a sample of 50, provided a mean of 1
1 answer:
Based on the calculations, the value of the test statistic and p-value are equal to -2.1213 and 0.0169 respectively.
<u>Given the following data:</u>
- Standard deviation = 2.
- Sample mean = 19.4.
- Number of sample = 50.
- Hypothesized mean = 20.
Mathematically, the value of the test statistic can be computed by using this formula:
zₓ = -2.1213.
From the z-table, the p-value is given by:
P(Z < zₓ) = P(Z < -2.1213)
P(Z < -2.1213) = 0.0169.
Since the p-value is equal to 0.0169 less than α = 0.05, we would reject H₀ : µ equal to 20. Thus, we would conclude that µ < 20.
Read more on standard deviation here: brainly.com/question/4302527
You might be interested in
Answer:
Explanation:
Alright so the way to do this is to use properties of integrals to make our life easier.
So we have:
So lets break this up into two different integrals that represent the same area.
Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:
But since we have these values we can say that:
-3 - 2 = -5
Which means that = -5
So now we can evaluate
Lets first break up our integrand into two integrals
=
Now we can evaluate this:
We know that = -5
So:
where x is evaluated at 4 to 1 so
-15 + 2(3)
So we are left with -15 + 6 = -9