More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary normally with mean about u= 525 and standard deviation about sigma= 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses. H sub 0: u= 525. H sub A: u > 525Answer the following question based from the given stated.
a) The students' score is x = 541.4. Is this result significant at the 5% level? b) The average score is x = 541.5. Is this result significant at the 5% level? c) What conclusions may you draw by comparing the answers to parts a and b?
Answers
Looking up z=1.64, its equivalent is 0.4495
∈=0.5+0.4495
∈=0.9495
As 0.95>0.9495, we cannot reject the null hypothesis, and the result is not significant.
b.)
Looking it up, P(Z>1.65)=0.0505. The result is not significant.
c. The p values are larger than the accepted level of 0.05, which is why the null is rejected. As we cannot reject the null, it is to be accepted that the mean score is 525. This then requires more statistical testing to be done to prove the null.
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The tires on Miguel's bicycle have a diameter of 28 inches. How many feet has Miguel traveled when the tires complete 15 revolutions? Use 3.14 for π . Round to the nearest tenth of a foot if necessary. ft
Answers
Answer:
(+)60 - 60 = 0
Step-by-step explanation:
The pelican is now at sea level
f(x) = (x − 8)(x + 7)
2.
f(x) = (x − 8)(x − 7)
3.
f(x) = (x + 8)(x + 7)
4.
f(x) = (x + 8)(x − 7)
Answers
Answer:
2.
Step-by-step explanation:
Given that function is polynomial, each zero is contained in binomials of the form (x - a), where a is the value of the zero. The number of roots means the number of binomial and the grade of the polynomial. Then, the function has the following form:
In cosequence, the right answer is 2.
x-8 = 0 ⇒ x = 8
x-7 = 0 ⇒ x = 7
Answers
u have to multiply the denominator with the large number and add the numerator
Answers
Answer:
6/10 is greater
Step-by-step explanation:
It is
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)
D. P(B) = P(A | B)
Answers
Answer: The correct option is (B) P(A | B) = P(A)
Step-by-step explanation: Given that A and B are independent events.
We are to select the TRUE statement from the given options.
We know that
if two events A and B are independent events, then the probability of the intersection of A and B is equal to the product of the probabilities of the events A and B.
That is,
Now, the conditional probability of event A given that event B has already occured is given by
Thus, the correct statement is P(A | B) = P(A).
Option (B) is CORRECT.
Answers
tan(angle of elevation) = (height of the pole) / (length of the shadow)
tan(angle of elevation) = 12 / (2/3 * 12)
Now, calculate the length of the shadow:
2/3 * 12 = 8 meters
So, tan(angle of elevation) = 12 / 8
tan(angle of elevation) = 3/2
To find the angle of elevation, take the arctan (inverse tangent) of 3/2:
angle of elevation = arctan(3/2)
Using a calculator or trigonometric tables:
angle of elevation ≈ 56.31 degrees
So, the angle of elevation of the sun is approximately 56.31 degrees.