Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below Test A | 64 48 51 59 60 43 41 42 35 50 45 Test B | 91 68 80 92 91 67 65 67 56 78 71 (a) What is the value of the linear coefficient r (b) Assuming a 0.05 level of significance, what is the critical value
Answers
Answer:
a) r = 0.974
b) Critical value = 0.602
Step-by-step explanation:
Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below
Test A | 64 48 51 59 60 43 41 42 35 50 45
Test B | 91 68 80 92 91 67 65 67 56 78 71
To find - (a) What is the value of the linear coefficient r ?
(b) Assuming a 0.05 level of significance, what is the critical value ?
Proof -
A)
r = 0.974
B)
Critical Values for the Correlation Coefficient
n alpha = .05 alpha = .01
4 0.95 0.99
5 0.878 0.959
6 0.811 0.917
7 0.754 0.875
8 0.707 0.834
9 0.666 0.798
10 0.632 0.765
11 0.602 0.735
12 0.576 0.708
13 0.553 0.684
14 0.532 0.661
So,
Critical r = 0.602 for n = 11 and alpha = 0.05
Related Questions
round 98,376 to the nearest thousand
Answers
Answer:
98000
Step-by-step explanation:
Plz help me well mark brainliest if you correct!!.....
Answers
Answer:
Option D, 8
Step-by-step explanation:
absolute value of -5 = 5
absolute value of 3 = 3
Therefore,
5 + 3 = 8
Hope this helps!
Write an equation of a line with slope -4 and y- intercept of 0
Answers
Answer:
y=-4x
Step-by-step explanation:
If a price decreases by 20%, I can calculate 20% of the price and subtract it
from the original price.
Or I can calculate in one step if I find ____ % of the original price
Answers
Answer:
To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)
Step-by-step explanation:
The expression below represents the distance between two points on a number line.
|-5 – 4|
Which number line shows the two points?
Answers
Answer:
A
Step-by-step explanation:
|-5 - 4|
The expression represents the absolute value of - 5 - 4 ;
-5 - 4 = - 9
|-5-4| = 9
Hence, the distance between the two points is 9.
Hence, the number line which shows the two points is A.
The ratio of yellow blocks to red blocks is 3:5, and the ratio of blue blocks to red blocks is 7:2.
What is the ratio of yellow blocks to blue blocks?
Answers
=========================================================
Explanation:
The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):
3 yellow, 5 red6 yellow, 10 red9 yellow, 15 redand so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.
The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...
7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 redand so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.
So we can connect the two ratios to have: 6 yellow, 10 red, 35 blue.
The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.
A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be blue?
Answers
Answer:
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Anna is in a cave 30 feet below the cave entrance. She descends 17 feet, then ascends 22 feet. Find her new position relative to the cave entrance.
Anna's new position relative to the cave entrance is _____
feet.
Answers
Answer:35
Step-by-step explanation:
We add or subtract from left to right to find the value of the expression:
3
Because the result is negative, she is below the cave entrance (by 35 feet).
Answer:
25 ft
Step-by-step explanation:
twice y is at most 29
Answers
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator
Choose all the numerals that when you multiplied by 58 equal a product greater than 58.
Answers
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answers
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
if someone could please answer this question and explain how to solve it that would be so helpful.
Answers
Answer:
x=4
Step-by-step explanation:
x=4
Step-by-step explanation:
first subtract 4 from both sides of the equation 2x+4-4=12-4
simplify 2x=8
divide both sides of the equation by the same term
2x=8
2 2
cancel the terms that are in the numerator and denominator then decide the numbers
x=4
I’m not sure what the answer is
Answers
Answer:
biosphere then ecosystem then community populations then organisms
The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175. Use c for the number of code books and f for the number of flashlights. What is the equation of the second inequality? *
Answers
Answer:
The second inequality is 2c + 5f ≤ 175
Step-by-step explanation:
Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.
To find - What is the equation of the second inequality?
Proof -
Let us assume that,
The number of code books = c
The number of flashlights = f
So,
Given that, She needs at least 50 of a combination of code books and flashlights
⇒ c + f ≥ 50
Now,
Given that, Each code book costs $2 and each flashlight costs $5.
So,
Cost of c code books = 2c
Cost of f flashlight = 5f
And Given, The budget for escape room supplies is no more than $175.
⇒2c + 5f ≤ 175
∴ we get
The second inequality is 2c + 5f ≤ 175
A drawer contains black socks and white socks. A person randomly selects two socks without replacement. The probability of selecting two black socks is 120703 and the probability of selecting a black sock on the first draw is 819. What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Answers
Answer:
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Black sock on the first draw.
Event B: Black sock on the second draw.
The probability of selecting a black sock on the first draw is 8/19.
This means that [tex]P(A) = \frac{8}{19}[/tex]
Black socks on both draws:
The probability of selecting two black socks is 120/703
This means that [tex]P(A \cap B) = \frac{120}{703}[/tex]
What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B|A) = \frac{\frac{120}{703}}{\frac{8}{19}}[/tex]
[tex]P(B|A) = \frac{120}{703}*\frac{19}{8}[/tex]
[tex]P(B|A) = \frac{120*19}{703*8}[/tex]
[tex]P(B|A) = 0.4054[/tex]
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?
Answers
Answer:
subject?
Step-by-step explanation:
Find the length of FN is 20*pie ft. what is the radius round your answer to the nearest 10th
Answers
9514 1404 393
Answer:
26.67 feet
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ . . . . . . where r is the radius and θ is the angle in radians
Here, the angle is 360° -225° = 135° = 3π/4 radians
Filling in the known information, we have ...
20π = r(3π/4)
r = 80/3 . . . . . divide by the coefficient of r
r ≈ 26.67 . . . . feet
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answers
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Which choices are equivalent to the exponential expression below? Check all
that apply
Oh
A.
52
O B.
O C. 2:
D.
9
25
E.
9
F.
6
10
Answers
Answer:
a b and d
Step-by-step explanation:
I did it on edge and got it right
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Where is the link to your question? I can't answer thing without a link my guy- :/
Degree and Radian Measures
Convert the given radian measure to a degree measure.
1.2 /pi (π)
a. -216°
b. 108°
c. 216°
d. -108°
Please select from the best choices provided
Answers
Answer:
C. 216°
Step-by-step explanation:
I calculated it logically
Which ratio is equivalent to the scale 1cm/50mi
1;50
49;50
50;1
1;51
Answers
Answer:
1;50
Step-by-step explanation:
The ratio shows how many times one value is contained in another value.
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio is written in the form of a numerator and a denominator.
Now,
1cm / 50 miles is in the form of a numerator and a denominator.
Now,
1cm : 50 miles = 1cm / 50 miles
= 1:50
Thus,
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answers
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
a radio costs $40. the tax rate is 7.5%. what is the tax on this radio?
Answers
Which of the following choices demonstrates the converse of the Pythagorean theorem correctly? (Assume that angle C is the right angle in the triangle ABC. a, b, c stands for side lengths BC, AC, and AB respectively)
A) If a2 + c2= b2, it’s a right triangle
B) If c2 + b2=a2, it’s a right triangle
C)If a2 + b2=c2, it’s a right triangle
D) None of the above.
Answers
hope this helps you out!
What is the volume of this shape to the nearest tenth
Answers
Given that 3x - 8y = 28
Find y when x = 9
Give your answer as a fraction in its simplest form
Answers
Answer:
y = -1/8
Step-by-step explanation:
substitute 9 in for x in the equation
3(9) - 8y = 28
27 - 8y = 28
-27 from both sides to get
-8y = 1
divide both sides by -8
y = -1/8
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answers
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
Learn more about distance here: https://brainly.com/question/13448007
The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employee takes per year. The director randomly selects eight employees and records their age and the number of sick days which they took in the previous year.
Employee 1 2 3 4 5 6 7 8 9 10
Age 30 50 40 55 30 28 60 25 30 45
Sick Days 7 4 3 2 9 10 0 8 5 2
The estimated regression line and the standard error are given.
Sick Days = 14.310162-0.2369(Age)
Se= 1.682207
Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22.
Answers
Answer:
CI ( 90% ) = ( 5.9694 ; 12.2272)
Step-by-step explanation:
The regression line is:
Sick Days = 14.310162 - 0.2369 (Age)
The employee 22 years old will have:
SD = 14.310162 - 0.2369 (22)
SD = 14.310162 - 5.2118 ⇒ SD = 9.0983
SE = 1.682207
And CI 90 % α = 10% α =0.1 α/2 = 0.05
sample size n = 10
degree of freedom df = n - 2 df = 8
From t-student table we find t(c) = 1.86
CI ( 90% ) = ( SD[22 years]) ± t(c)*SE
CI ( 90% ) = 9.0983 ± 1.86*1.682207
CI ( 90% ) = 9.0983 ± 3.1289
CI ( 90% ) = ( 5.9694 ; 12.2272)
Using the t-distribution, it is found that the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
We are given the standard error for the sample, which is why the t-distribution is used to solve this question.
The information to build the interval is:
Sample mean of [tex]S(22) = \overline{x} = 14.310162 - 0.2369(22) = 9.1[/tex].Standard error of [tex]s = 1.682207[/tex]. Sample size of [tex]n = 10[/tex].The confidence interval is:
[tex]\overline{x} \pm ts[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 10 - 1 = 9 df, is t = 1.8331.
Then:
[tex]\overline{x} - ts = 9.1 - 1.8331(1.682207) = 6[/tex]
[tex]\overline{x} + ts = 9.1 + 1.8331(1.682207) = 12.2[/tex]
The 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
A similar problem is given at https://brainly.com/question/15180581
Plz I need help with only the perimeter one
Answers
Answer:
I believe the answer is 25.3
Answer:
25.4
Step-by-step explanation:
add em up then put the .3 after you add it up