Answer:
1. 90.49% of test takers scored less than Alison.
2.
Kamal scored in the 82th percentile.
Kamal's score was of 510.8.
3. 15.52% of test takers scored between 505 and 510 on the MCAT.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For the current version of the MCAT, the population mean is 501.1 and the population standard deviation is 10.6 points.
This means that [tex]\mu = 501.1, \sigma = 10.6[/tex]
1. Alison scored 515 on the MCAT. What is the percentage of test takers who scored less than Alison (what is the percentile rank associated with a raw score of 515)?
The proportion is the pvalue of Z when X = 515. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{515 - 501.1}{10.6}[/tex]
[tex]Z = 1.31[/tex]
[tex]Z = 1.31[/tex] has a pvalue of 0.9049
0.9049*100% = 90.49%
90.49% of test takers scored less than Alison.
2. Kamal scored higher than 82% of the test takers. What is Kamal's percentile—what is Kamal's score on the MCAT?
Kamal scored in the 82th percentile.
His score is the value of Z when Z has a pvalue of 0.82. So X when Z = 0.915.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.915 = \frac{X - 501.1}{10.6}[/tex]
[tex]X - 501.1 = 0.915*10.6[/tex]
[tex]X = 510.8[/tex]
Kamal's score was of 510.8.
3. What percentage of test takers scored between 505 and 510 on the MCAT?
The proportion is the pvalue of Z when X = 510 subtracted by the pvalue of Z when X = 505. So
X = 510
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{510 - 501.1}{10.6}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
X = 505
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{505 - 501.1}{10.6}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
0.7995 - 0.6443 = 0.1552
0.1552*100% = 15.52%
15.52% of test takers scored between 505 and 510 on the MCAT.
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Help me answer my homework questions!
Answer:
Page 1: D
Page 2: A
Page 3: D
dad lol
To assess the effectiveness of a kindergarten-readiness program, 15 children from a random sample were each given a diagnostic assessment before beginning the program and a follow-up assessment after completing the program. For each child, the difference in the score points between the two assessments was calculated and used to create the 95 percent confidence interval (20.1,23.9)(20.1,23.9).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval?
A) For all children in the program, 95 percent of the children will have a mean difference in scores of between 20.1 points and 23.9 points.
B) There is a 0.95 probability that the mean difference in scores for all children in the sample is between 20.1 points and 23.9 points.
C) There is a 0.95 probability that the mean difference in scores for the children in the program is between 20.1 points and 23.9 points.
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
E) We are 95 percent confident that the mean difference in scores for the children in the sample is between 20.1 points and 23.9 points.
Answer:
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95 percent confidence interval (20.1,23.9)
We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.
This net folds into a cube. Which two letters appear on opposite faces?
Answer:
Three answers B and D, A and C, F and E
I'm not very sure how to explain this.
ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3
Answer:
B
Step-by-step explanation:
How many 1/5 are in 20? Enter your answer in the bo
Answer:
4
Step-by-step explanation:
20 devided by 1/5 is 4
5 feet. how many miles is that using the scale? 1 ft= 4 mile
Answer:
your answer I think would be 20 miles
A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of this fish, given this equation? (DOK 3)
A
From a starting position of 3 meters below sea level, the fish is going down( descending) 7 meters per second
B
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second
C
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second
D
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second
Answer:
A
Step-by-step explanation: the -7x represents the 7 meters the fish is going down every second and the -3 would be the fish starting at 3 meter below sea level
Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?
Answer:
Step-by-step explanation:
(1 3/5)/(2/5)
(8/5)/(2/5)
(8/5)(5/2)
40/10
4
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
Area= 1/2bh
= 1/2 ( 16)(6)
=48 square yard.
What is the surface are of the box in square meters that Elizabeth decorates
Answer:
Step-by-step explanation:
Need help please. What is the area of the shaded region. Thank you so much.
Answer:
[tex]Area = 8\ unit^2[/tex]
Step-by-step explanation:
Given
The 7 * 3 grid
Required
Determine the area of the shaded
From the grid, 4 cells on 2 rows were shaded.
Since 1 grid cell = 1 unit.
The area is:
[tex]Area = 4\ unit * 2\ unit[/tex]
[tex]Area = 8\ unit^2[/tex]
if I multiply or divide by a negative number I must reverse the inequality sign.
true or false
Answer:
True
Step-by-step explanation:
Find the equivalent expression of 1/3
Answer:
..........
Step-by-step explanation:
1 = 1 × 2 = 2
3. 3×2. 6
What is an equation of the line that passes through the points (7,4) and (-5,4)
Answer:
y=4
Step-by-step explanation:
what is the difference in length between the longest meteor and the shortest meteor
Answer:
Please show the full problem
Step-by-step explanation:
Answer:
If this is the same question the answer is 3 1/3
Step-by-step explanation:
I need help with this
Answer:
x=45
Step-by-step explanation:
This is a triangle so it interior degrees will add up to 180.
W
Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.
We can find OAC by using the triangle interior theorem,
[tex]45 + 90 + x = 180[/tex]
[tex]135 + x = 180[/tex]
[tex]x = 45[/tex]
A physical education teacher wanted to know the effects of various activity levels on body composition. She surveyed her physical education classes and categorized 30 students into five activity levels based on the amount of daily exercise in which the students participated: inactive, semiactive, normal, active, and very active. She measured percent body fat values using skinfold calipers on all subjects with the following results.
Inactive Semiactive Normal Active Very Active
30.2 29.4 22.9 17.6 10.9
29.6 17.6 25.4 13.4 13.7
35.2 26.4 19.6 20.3 12.8
19.1 25.3 18.7 19.6 14.7
26.3 22.5 21.8 15.1 9.3
22.4 28.6 24.9 10.7 12.7
Required:
a. What is the independent variable in this study? What is the dependent variable?
b. What are the means and standard deviations for each group?
c. Does a significant difference exist among any of the groups?
Answer:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The mean and standard deviation are;
(Mean, Standard deviation)
Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73), Very Active (12.35, 1.95)
c. Yes
Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active
Step-by-step explanation:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The given data are presented as follows;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
30.2 [tex]{}[/tex] 29.4 22.9 17.6 10.9
29.6 [tex]{}[/tex] 17.6 25.4 13.4 13.7
35.2 [tex]{}[/tex] 26.4 19.6 20.3 12.8
19.1 [tex]{}[/tex] 25.3 18.7 19.6 14.7
26.3 [tex]{}[/tex] 22.5 21.8 15.1 9.3
22.4 [tex]{}[/tex] 28.6 24.9 10.7 12.7
Bymaking use of Microsoft Excel, we have;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
Mean 27.13 [tex]{}[/tex] 24.97 22.217 16.12 12.35
Standard Deviation 5.8 [tex]{}[/tex] [tex]{}[/tex] 4.367 2.73 3.73 1.95
c. Yes
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The degrees of freedom = n - 1 = 6 - 1 = 5
The critical t = 2.5706
Therefore, we have;
The test statistic for Inactive and semi active ≈ 0.72875
The test statistic for Semiactive Normal ≈ 1.309
The test statistic for Inactive and Normal ≈ 1.8773
The test statistic for Semiactive and Active ≈ 3.775 (Significant)
The test statistic for Semiactive and Very Active ≈ 6.464 (Significant)
The test statistic for Normal and Very Active ≈ 7.204 (Significant)
The test statistic for Normal and Active ≈ 3.231 (Significant)
The test statistic for Active and Inactive ≈ 3.91 (Significant)
The test statistic for Active and Very Active ≈ 2.194
The test statistic for Inactive and Very Active ≈ 5.92 (Significant)
Where the test statistic is larger than the critical 't' the statistic is significant
Find the value of x on a kite
Answer:
When we combine like terms we get 158 plus 2x equals 360 subtract 158 from both sides. And we get 2x...
Step-by-step explanation:
Am I doing this right?
Answer:
Yes you are
You very much are doing the right thing
A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast
Answer:
hello the options to your question is missing attached below are the options
answer : The number that had a boy and ate breakfast ( option 3 )
Step-by-step explanation:
The odds of having a boy if you eat breakfast is ; The number that had a boy and ate breakfast
This simply because the dependent variable is the Gender of the baby while the independent variable is Breakfast
What are the coordinates of the midpoint between the points (-1,4) and (2,-5)
Answer:
(1/2, -1/2)
Step-by-step explanation:
To find a midpoint add the two x's and divide by 2 so -1+2 / 2 = 1/2
add the two y's and divide by 2 so 4-5 / 2 = -1/2
Put the two numbers together as a coordinate (1/2, -1/2)
what is the mean will give brainlyest
Find the value of X in the equation below:
X/9 = 3.9
Answer:
35.1
Step-by-step explanation:
We can multiply both sides by 9 to get x=35.1
Step-by-step explanation:
x/9=3.9
x=3.9*9
x=35.1
Why were most peppered moths dark in the 1959 era but light in the 2000s?
A bicycle tire of radius 0.40 m and mass 1.7kg is rotating at 62.9 rad/s.
What torque is necessary to stop the tire in 2.2 s?
Answer in units of N · m.
These are the last of my points, I have been scammed by people twice, someone please help me, this is actually physics but the scammers love physics.
Houa has an action figure collection. She keeps some in a display case and the rest on
the wall. 82 of her action figures are on the wall, and 59% of her action figures are in the display case. What is the total number of action figures in Houa's collection?
Answer:
200 action figures
Step-by-step explanation:
Given
[tex]Wall = 82[/tex]
[tex]Display\ Case = 59\%[/tex]
Required
Total action films
If 59% is on a display case, then 4!% is on the wall. Let the total be x.
So, we have:
[tex]Wall = 41\% * x[/tex]
Substitute 82 for Wall
[tex]82= 41\% * x[/tex]
[tex]82= 0.41 * x[/tex]
[tex]200= x[/tex]
[tex]x = 200[/tex]
What is 9/10 as hundredths in fraction form and decimal form?
Answer:
see below
Step-by-step explanation:
9/10
To get as a fraction over 100, multiply the top and bottom by 10
9*10 90
------ = ------------
10*10 100
9/10 = 90/100
The decimal form for 9/10 is .9 and for 90/100 is .90
4x²y+2xy² simplefid in algebra
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.