Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be, 
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:
The decision rule is:
If the calculated value of the test statistic is less than the critical value, 
then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
<span>1--- f(x) = 4 - 3 sin x = 2
-3 sin x = -2
sin x = 2/3
x ≈ 0.7297276562... ≈ 0.73
2--- -1 ≤ sin x ≤ 1
-3 ≤ 3 sin x ≤ 3
3 ≥ -3 sin x ≥ -3
7 ≥ 4 - 3 sin x ≥ 1
If k < 1 or k > 7, there is no solution.
3--- A = 3π/2
4--- g(x) = 4 - 3 sin x = y
4 - 3 sin y = x
4 - x = 3 sin y
(4 - x)/3 = sin y
sin^-1 (4 - x)/3 = y= g^-1
g^-1 (3) = sin^-1 (4 - 3)/4 = sin^-1 1/4 = 2.8017557... ≈ 2.802
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
460
Step-by-step explanation:
5%(calculated %)of what number equals 23?
Answer is 460
I hope it's helpful!
Answer:
Step-by-step explanation:
= 4
Answer:
32.25%
Step-by-step explanation:
The equation of variation is z = ky/√x
When y is increased by 15%, we have value of y = 1.15y.
To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.
Therefore x must be increased by 0.3225 or 32.25%.
