Answer:
A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.
Step-by-step explanation:
Type II Error:
A type II error happens when there is a non-rejection of a false null hypothesis.
In this question:
The null hypothesis is H0:μ=498.
Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.
Answer:
40%
Step-by-step explanation:
sloution is 16/40 only this we can get answer
f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
<u>⇒ f(g(x)) = 4x</u>
<u></u>
Correct answer:
a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>
Solution :
To claim to be tested is whether "the mean salary is higher than 48,734".
i.e. μ > 48,734
Therefore the null and the alternative hypothesis are
![$H_0 : \mu = 48,734$](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%2048%2C734%24)
and ![$H_1 : \mu > 48,734$](https://tex.z-dn.net/?f=%24H_1%20%3A%20%5Cmu%20%3E%2048%2C734%24)
Here, n = 50
![$\bar x = 49,830$](https://tex.z-dn.net/?f=%24%5Cbar%20x%20%3D%2049%2C830%24)
s = 3600
We take , α = 0.05
The test statistics t is given by
![$t=\frac{\bar x - \mu}{\frac{s}{\sqrt n}}$](https://tex.z-dn.net/?f=%24t%3D%5Cfrac%7B%5Cbar%20x%20-%20%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%7D%24)
![$t=\frac{49,830 - 48,734}{\frac{3600}{\sqrt 50}}$](https://tex.z-dn.net/?f=%24t%3D%5Cfrac%7B49%2C830%20-%2048%2C734%7D%7B%5Cfrac%7B3600%7D%7B%5Csqrt%2050%7D%7D%24)
t = 2.15
Now the ">" sign in the
sign indicates that the right tailed test
Now degree of freedom, df = n - 1
= 50 - 1
= 49
Therefore, the p value = 0.02
The observed p value is less than α = 0.05, therefore we reject
. Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.
Answer:
∠ R = 75°
Step-by-step explanation:
you are correct with answers to a, b, c
d
the sum of the 3 angles in Δ QRS = 180° , that is
∠ Q +∠ R + ∠ S = 180° , so
55° + ∠ R + 50° = 180°
∠ R + 105° = 180° ( subtract 105° from both sides )
∠ R = 75°