Answer:
If the question has
What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?
It is E
Step-by-step explanation:
AP classroom uses the example with different end questions.
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
What is the distribution of random variable which is sum of normal distributions?Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
For this case, it is given that:
Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
Thus, we get:
[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]
Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]
The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately
We need [tex]P(X_F - X_M < 0)[/tex]
Converting this distribution to standard normal distribution, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]
From the z-tables, we get the p value for Z = -1.98 as 0.0239
Thus, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
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One aftemoon 10 inches of snow falls in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?
inch(es) per hour
Answer:
8
Step-by-step explanation:
10 divided by 1 1/4 = 8
I need help please please
Answer:
the right answer is three ok your welcome
Answer:
It is option 4
May someone do this for me I don’t under the top part only but you can do the bottom if you feel like it the first gets branlist
What is the area of this triangle?
A=bh2
a-54 cm²
b-90 cm²
c-108 m²
d-216 m²
Answer:
a
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 9 and h = 12 , then
A = [tex]\frac{1}{2}[/tex] × 9 × 12 = [tex]\frac{1}{2}[/tex] × 108 = 54 cm²
Convert the following equation into slope intercept form. 3x + 21y = 21 Stars
Answer:
y = -(1/7)x + 1
Step-by-step explanation:
[tex]3x + 21y = 21 \\ 21y = 21 - 3x \\ y = \frac{21 - 3x}{21} \\ y = 1 - \frac{1}{7} x \\ y = - \frac{1}{7} x + 1[/tex]
calculate the value of -18/3
Answer:
-6
Step-by-step explanation:
You divide -18 from 3, which is going to be -6.
Find the slope of the line that passes through the given
points.
1. (-10, -12), (-8,-8), (-6. - 4); (-4, 0)
2. (-4, 2), (0, 1), (4,0), (8, -1)
3. (-7, -7), (0, -8), (7, -9). (14, -10)
4. (-2, 2), (0, 3), (2, 4), (4, 5)
5. (2, -11), (4, -25), (6, -39), (8, –53)
6. (-11, -38), (-5, -14), (1,10), (7, 34)
Find the slope and the y-intercept of the graph of the
linear equation,
7. y = -4x + 6
8. y = -1
9. 4r + y = -1
10. y = 6x – 4
11. -x - 4y + 8 = 0
12. 2.r - 12y + 10 = 0
Answer:
Step-by-step explanation:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
1)
The slope of the line passing through these points is 2.
2)
The slope of the line passing through these points is -1/4.
3)
The slope of the line passing through these points is -1/7.
4)
The slope of the line passing through these points is 1/2.
5)
The slope of the line passing through these points is -7.
6)
The slope of the line passing through these points is 6.
7)
The slope of y = -4x + 6 is -4 and the y-intercept is 6.
8)
The slope is 0 and the y-intercept is -1.
9)
The slope is -4 and the y-intercept is -1.
10)
The slope of y = 6x - 4 is 6 and the y-intercept is -4.
11)
The slope is -1/4 and the y-intercept is 2.
12)
The slope is 1/6 and the y-intercept is 5/6.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = (d - b) / (c - a)
Where (a, b) and (c, d) are the two points.
Now,
The slope between (-10, -12) and (-8, -8) is 2.
The slope between (-8, -8) and (-6, -4) is 2.
The slope between (-6, -4) and (-4, 0) is 2.
Therefore,
The slope of the line passing through these points is 2.
The slope between (-4, 2) and (0, 1) is -1/4.
The slope between (0, 1) and (4, 0) is -1/4.
The slope between (4, 0) and (8, -1) is -1/4.
Therefore,
The slope of the line passing through these points is -1/4.
The slope between (-7, -7) and (0, -8) is -1/7.
The slope between (0, -8) and (7, -9) is -1/7.
The slope between (7, -9) and (14, -10) is -1/7.
Therefore,
The slope of the line passing through these points is -1/7.
The slope between (-2, 2) and (0, 3) is 1/2.
The slope between (0, 3) and (2, 4) is 1/2.
The slope between (2, 4) and (4, 5) is 1/2.
Therefore,
The slope of the line passing through these points is 1/2.
The slope between (2, -11) and (4, -25) is -7.
The slope between (4, -25) and (6, -39) is -7.
The slope between (6, -39) and (8, -53) is -7.
Therefore,
The slope of the line passing through these points is -7.
The slope between (-11, -38) and (-5, -14) is 6.
The slope between (-5, -14) and (1, 10) is 8.
The slope between (1, 10) and (7, 34) is 6.
Therefore,
The slope of the line passing through these points is 6.
Now,
The equation in slope intercept form is y = mx + c
where m is the slope of the line and c is the y-intercept.
So,
The slope of y = -4x + 6 is -4 and the y-intercept is 6.
The equation y = -1 represents a horizontal line, so the slope is 0 and the y-intercept is -1.
To find the slope-intercept form, we can rewrite 4r + y = -1 as y = -4r - 1.
Therefore,
The slope is -4 and the y-intercept is -1.
The slope of y = 6x - 4 is 6 and the y-intercept is -4.
To find the slope-intercept form, we can rewrite -x - 4y + 8 = 0 as -4y = x - 8, then divide both sides by -4 to get y = (-1/4)x + 2.
Therefore,
The slope is -1/4 and the y-intercept is 2.
To find the slope-intercept form, we can rewrite 2r - 12y + 10 = 0 as 12y = 2r + 10, then divide both sides by 12 to get y = (1/6)r + 5/6.
Therefore,
The slope is 1/6 and the y-intercept is 5/6.
Thus,
The slope and the y-intercept are given above.
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PLEASE HELP ASAP
What is the volume of the figure
Answer:
264 cubic cm
Step-by-step explanation:
(8x5x5)+(8x8x1)
(200)+(64)
Volume = 264 cubic cm
You wake up, you see there's a flood, you see 3 people hanging on a tree but you can only save one of them, there is hot girl gold digger, old grandma, and baby boy, who you gonna save
Answer:
baby boy
Step-by-step explanation:
he has the rest of his life to live
Answer:
baby boy
Step-by-step explanation:
The old dude already lived his life. The woman is a gold digger and I'm not rich.
Is the following relation a function?
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f(x)=8x^2+2
h(x)=-8x^2-2
Answer:
It’s A
Step-by-step explanation:
Simplify: f (x) – 4g (x)
WILL GIVE BRAINLIEST-
Complete the table to multiply x^2 - 4x + 4 and 6x + 3.
calculate the value of (-18) (-3)
Answer:
54
Step-by-step explanation:
You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.
Hope this helps!
one half of a number is eight
Answer:
16
Step-by-step explanation:
The dimensions of a rectangular field are 16x - 6 and 10x + 12 units. The value of x for which it would be square is______.
Help me please answer thanks
solve 2x+6=34 i have no idea pls exsplain and help me :)
Answer:
14
Step-by-step explanation:
okay.. so basically you have 2x+6=34 right? so basically i’m gonna tell you the easiest way to do this
so you’re gonna start off by separating the 2x from the 6=34.
now that you’ve done that, let’s focus on the 6=34. so to get your answer, start by subtracting 6 from 34 so (34 - 6 = 28)
now that you’ve got that, keep the number 28 in mind. youre gonna want to take 2 and multiply by x. but 2x = 28, so what do you multiply by 2 to make 28? 14. so x is 14. to check your work, let’s see.
2 x 14 + 6 = 34?
2 x 14 = 28 + 6 = 34.
34 = 34
so, x is 14. hope this helped!
How is today's rhinoceros similar to the triceratops dinosaur of long ago? How is it different?
Answer:
Very, very distant relatives. Mammals and dinosaurs branched off from a common ancestor hundreds of millions of years ago. They may both have horns, but triceratops and rhinos are very different. Usually you wouldn't refer to them as “related.”
I need help- please help meh :')
Answer:
1 equals 2.6
2 equals 1.8
Step-by-step explanation:
just divide
A bag contains 5 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 10th of a percent, that all three marbles drawn will be red?
Without replacement, the probability that all three marbles drawn will be red is 0.01.
What is the probability?Probabiliy is used to determine the likelihood of an event happening. The probability that the event would occur lies between 0 and 1.
Probability of drawing three red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles - 1) x (number of red marbles / total number of marbles - 1)
5/17 x 4/16 x 3/15 = 0.01
The probability, to the nearest 10th of a percent, that all three marbles drawn will be red; 1.5%
How to calculate probability?
We are given;
Number of red marbles = 5
Number of blue marbles = 8
Number of Green marbles = 4
Total number of marbles = 5 + 8 + 4
Total number of marbles = 17
Probability of first being red = 5/17
Probability of second being red = 4/16
Probability of third being red = 3/15
Thus;
P(all three marbles drawn are red) = (5/17) * (4/16) * (3/15)
P(all three marbles drawn are red) = 0.0147
Approximating to nearest tenth of a percent = 0.015 = 1.5%
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What is the sum of all exterior angles in a polygon?
Work out the percentage change when a price of £80 is increased to £100
Answer:
25%
Step-by-step explanation:
100 - 80 = 20 (change)
change / original price X 100
20 / 80 = 0.25
0.25 X 100 = 25
Nancy purchased 5 CDs, each of which cost $7.90. Write and solve a division equation to find how much money Nancy spent.
Answer:
its 39.5
Step-by-step explanation:
NO SCAMMING (The goalie on the Ice blades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Ice blades are ahead by one goal, and they will win if the other team does not score.
The other team takes 5 shots in the final 10 minutes. The Ice blades do not score any more goals.)
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:
70%
Step-by-step explanation:
Last year there were 30 students in the Chess Club. If the number of students in the Rubik's Cube Club was 20% greater than the number of students in the Chess Club, how many students were in the Rubik's Cube Club?
A. 30
B. 42
C. 36
D. 58
Max sells lemonade for $3 per cup and candy for $2 per bar. He earns $450 selling lemonade and candy. If Max sold 90 bars of candy, how many cups of lemonade did he sell?
found this sheet, hope it helps !!
HELP
ME
PLEASE THIS IS URGENT
Answer:
meters/second
Step-by-step explanation:
That's a velocity unit :).
Answer:
Meters/Second
CAN SOMEONE HELP:) PLSSS
Answer:
I honestly don’t know I am gonna guess
Step-by-step explanation:
1/12?
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. . 。 。 . .
. 。 ඞ 。 . • • .
.
ﾟ Bread was Not An Impostor. 。 . .
' 1 Impostor remains 。 .
ﾟ . . , . .. . .
Have a nice day UwU
The surface area of a sphere is π sq.cm. If its radius is
doubled by,how much is its surface area increased ?
Answer:
hope it helps..........