A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. If 35 students are randomly selected, find the probability that that the mean of their test scores will be greater than 76. (Round to tenth of a percent)
Answers
Answer: 0.5%
Step-by-step explanation:
We assume that the test scores in final exam is normally distributed.
Given : Mean :
Standard deviation :
Sample size : n= 35
Let x be the random variable that represents the test scores of the students.
The formula for the z-score :-
For x=76
By using the standard normal distribution table ,
The p-value =
Hence, the probability that that the mean of their test scores will be greater than76 =0.5%
Final answer:
The probability that the mean test score of 35 randomly selected Sociology students will be greater than 76 is 0.5%, calculated by using the Central Limit Theorem and the Z-score formula.
Explanation:
In Sociology, to find the probability that the mean of the test scores for a randomly selected group of 35 students will be greater than 76, we use the concepts of the Central Limit Theorem and the Z-score formual.
First, we calculate the standard error which is the standard deviation divided by the square root of the sample size (9.2/sqrt(35) which roughly equals 1.55).
Next, we calculate the Z-score which is the difference between the sample mean and population mean divided by the standard error (76-72)/1.55, which equals roughly 2.58.
Finally, by looking at the Z-table, we find that the area to the left of Z=2.58 is 0.9951, which means that the area to the right (representing the probability of a score >= 76) is 1 - 0.9951= 0.0049 or 0.5%. So the probability that the average test score of the randomly selected 35 students will be greater than 76 is 0.5%.
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Rewrite each fraction with a denominator of 121212.\dfrac{3}{4} =
There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.
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Answer:
5 < 2x = 15
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
2X - 5 = 15
2X = 20
X = 10
Answers
Answer:
x = 4 and y = 0
Step-by-step explanation:
Given expression:
-2x + 8y = -8
5x - 8y = 20
Now, to solve this problem by elimination, follow this procedure:
-2x + 8y = -8 --- i
5x - 8y = 20 --- ii
Coefficient of y in both expression have similar values;
Now, add equation i and ii;
(-2x + 5x) + (8y -8y ) = -8 + 20
3x = 12
Divide both sides by 3;
x = = 4
Now, to find y; put x = 4 into equation i,
-2(4) + 8y = -8
-8 + 8y = -8
Add +8 to both sides of the expression;
-8 + 8 + 8y = -8 + 8
8y = 0
y = 0
Answers
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
B. y = (x + 3)2 – 6
C. y = (x + 2)2 – 6
D. y = (x + 2)2 – 3
Answers
The function that reveals the vertex of the parabola:is y = (x + 3)² - 6.
What is the general equation of a parabola?
The general equation of a parabola is: y = a(x-h)² + k, where (h, k) indicates the vertex.
The given function is
y = x² + 6x + 3
⇒ y = (x² + 2 × x × 3 + 3²) - 6
⇒ y = (x + 3)² - 6
Therefore, the function y = (x + 3)² - 6 indicates the vertex of the parabola.
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Answer:
B
Step-by-step explanation:
For the school work online
b. Paired t-test. Since the boys and girls are in the same class, and are hence dependent samples, they are can be linked.
c. 1-sample t-test. The teacher should compare the sample mean for the girls against the population mean for the boys.
d. Two-sample t-test. There is no natural pairing between the two populations.
Answers
Answer:
d. Two-sample t-test. There is no natural pairing between the two populations.
Step-by-step explanation:
A two-sample t - test is a test performed on the data of two random samples, each independently obtained from a different given population. The purpose of the test is to determine whether the difference between these two populations is statistically significant.
Independent samples are samples that do not affect one another. The mean math scores of the samples of boys and girls do not affect each other. They are independent samples, hence the correct test procedure is two - sample t - test
Pls help fast
Answers
Answer:
N=2425
Simplify 2500 (1-0.03).
N=2425