Answer:
The responses can be defined as follows:
Step-by-step explanation:
Given:
[tex]H_o : \mu_1 = \mu_2\\\\H_a : \mu_1 < \mu_2[/tex]
Testing the hypothesis:
[tex]Z=\frac{( \bar{x_1}-\bar{x_2})}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]
[tex]=\frac{(22.41-27.75)}{\sqrt{(\frac{1.27^2}{40}+\frac{2.64^2}{24})}}\\\\=-9.29\\\\[/tex]
[tex]a=0.01[/tex]
critical value [tex]Z(0.01)=-2.33[/tex] (using the standard normal table)
[tex]Z=-9.29<-2.33[/tex] so, we reject [tex]H_o[/tex].
Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
At the null hypothesis, it is tested that rugby players do not have a higher BMI than the multi-sport men, that is, the subtraction of the means is not greater than 0, hence:
[tex]H_0: \mu_R - \mu_M \leq 0[/tex]
At the alternative hypothesis, it is tested if they have a higher BMI, that is:
[tex]H_1: \mu_R - \mu_M > 0[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used.
The standard errors are given by:
[tex]s_M = \frac{1.27}{\sqrt{40}} = 0.2008[/tex]
[tex]s_R = \frac{2.64}{\sqrt{24}} = 0.5389[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_R - \mu_M = 27.75 - 22.41 = 5.34[/tex]
[tex]s = \sqrt{s_M^2 + s_R^2} = \sqrt{0.2008^2 + 0.5389^2} = 0.5751[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{5.34 - 0}{0.5751}[/tex]
[tex]t = 9.29[/tex]
Using a t-distribution calculator, for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 40 + 24 - 2 = 62 df, the critical value is of [tex]t^{\ast} = 1.67[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
You can learn more about the use of the t-distribution to test an hypothesis at https://brainly.com/question/16313918
The area of a square is 144 in.2
What is the length of one side of the square?
Answer:
12 inches
Step-by-step explanation:
Find the square root
144² ÷ 2 = 12
Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
To know more about standard error here
https://brainly.com/question/13179711
#SPJ2
difference between the place values of 2 is in 4242
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
Find the area of OP. Leave your answer in terms of .
A. 14 cm2
B. 77 cm2
C. 147 cm2
D. 497 cm2
Answer:
D. 49
Step-by-step explanation:
The area of a circle is pi times the radius squared (A = pi r^2).
so putting in your numbers given you get 7^2
which equals 49
Determine the slope of the line that passes through the points (-4,-2) and (3,1).
Answer:
Step-by-step explanation:
Stephanie, so many people ask questions about this type of problem, I think the teachers don't know how to explain these at all. Ask your teacher if I can have some of their salary :) I have to explain this to that many people.. :0
given"
point P1 (-4,-2) in the form (x1,y1)
point P2(3,1) in the form (x2,y2)
slope = m
formula for slope is:
m = (y2-y1) / (x2-x1)
m = (1-(-2) ) / (3 - (-4))
m = (1+2) / (3+4)
m = 3 /7
That's your slope, ask if you need more explanation, I'm really curious about why this type of problem causes so many questions :/
find the length of the hypotenuse of a right triangle if a=6 and b=10
Answer:
Step-by-step explanation:
6^2 + 10^2 = c^2
36+100 = c^2
136 = c^2
square root both sides
c = square root 136
The perimeter of a triangle is 64 in. The longest side is 14 in. Longer than the medium side, and the medium side is 7 in. more than the shortest side. Find the length of each side of the triangle
Answer:
longest side =33
medium side =19
shortest side = 12
Step-by-step explanation:
Let medium side be x
then longest side =14 +x
shortest side = x-7
we know that ,
perimeter =sum of all side
or, 64 = 14+ x + x + x -7
or, 64 - 7 = 3x
or, 57 = 3x
or, 57÷3 = x
or, x = 19
then
medium side =x = 19
longest side =x+14 =33
shortest side = x- 7 = 12 #
PLEASE HELP ILL DO ANYTHING
Answer:
i took this test along time ago 3,1,1
I don’t know what to do please don’t give me files I don’t get it
Answer:
i believe its dependent
Step-by-step explanation:
Please hel p me. !!!!!!!
Answer:
7,3921
Step-by-step explanation:
ia had 50 carrot sticks for her
study group to snack on. There were
6 people eating the carrot sticks, and
each person ate an equal number of
carrots until there weren’t enough
left to share equally. How many
carrot sticks were left over? Explain.
Answer:
8.333333333 or 25 /3
Step-by-step explanation:
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!
Nationwide Insurance would like to perform a chi-square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The degrees of freedom for the chi-square critical value is ________.
Answer:
1
Step-by-step explanation:
There are 2 categories male and female and 1 attribute those who text during driving so the number of cells is 2*1= 2
And degrees of freedom is found by subtracting 1 from k= k-1= 2-1= 1 where k is the number of the categories
The degrees of freedom for this chi square test of proportions is 1
The critical value for ∝= 0.05 is .χ²≥ χ²(0.05,1)= 3.84
The critical value for ∝= 0.01 is .χ²≥ χ²(0.05,1)= 2.71
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
can someone help explain this problem
Answer:
HK=66°
Step-by-step explanation:
Based on the diagram, we know the two sides of the arcs are equal. So we set up an equation that solves for x, then plug it back into one of the sides, and double it.
x+20=6x-45
65=5x
x=13
x+20=33
33x2=66
Please solve and I will give brainliest!
Answer:2
0
+
1
0
Step-by-step explanation:
Answer:
question 1: 10 + 20f
question 2: 164,340
Step-by-step explanation:
question 1:
10(1 + 2f)
(10 x 1) + (10 x 2f)
10 + 20f
question 2:
120n + 160,500 n =32
120(32) + 160,500
3,840 + 160,500
164,340
2. Katelyn flips a coin and rolls a standard 6-sided die. What is the probability that she
flips tails and rolls a 3?
1/2
1/4
1/8
1/12
Answer:
1/2 because a coin is a 50/50 % chance of both sides
Answer:
1/12
Step-by-step explanation:
It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.
I need help as soon as possible!! Please!!
Answer:
Option A, (x + 6, y - 4)
Hope this helps!
Answer:
1st option
Step-by-step explanation:
Consider the coordinates of R and R'
R (2, 6 ) and R' (8, 2 )
R → R' in the x- direction is + 6 ( 2 to 8 )
R → R' in the y- direction is - 4 ( 6 to 2 )
Then the translation rule is
(x, y ) → (x + 6, y - 4 )
5. Match each description with the correct equation below. Then solve the equation.
a) When 4.26 is added to a number, the sum is 17.04.
b) The product of 4.26 and a number is 17.04.
c) When a number is doubled and 4.26 is subtracted, the result is 17.04.
4.26n = 17.04 2n − 4.26 = 17.04 n + 4.26 = 17.04
Answer:
.
Step-by-step explanation:
At a local plant sale, Janice was selling Golden Barrel Cactus plants and baby Saguaros. During the sale, she sold 5 times as many Saguaros ($6 each) as Golden Barrels ($10 each). She made a total of $720 during the plant sale. How many Saguaros did Janice sell? A. 18 B. 40 C. 72 D. 90
Step-by-step explanation:
The answer is D 90
Answer:
What’s the Answer of this question plz? The total
Answer:
I think it's six
Step-by-step explanation:
A= 1
b= 2
c= 3
In a rational function, what must be true for the graph to have a horizontal asymptote at
y = 0.
Answer:
m = 0
Step-by-step explanation:
Find the median and mean of the data. Which reflects the best measure of the center?
43, 38, 37, 57, 57 58, 45
sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help
Answer:
sin is only positive in 1st and 2nd quadrants
Step-by-step explanation:
As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.
Remember that sine is y while cosine is x.
Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.
Q1 and Q2 both are positive while Q3 and Q4 are negative.
Find the probability of two persons being born on the same day?
Answer:
1/365
Step-by-step explanation:
The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365
Answer:
Person A can be born on any day of the year since they’re the first person we’re asking. The probability of being born any day of the year is 1 or more specifically: 365/365.
Since Person B must be born on the same day as Person A their probability is 1/365.
We want both of these events to happen so multiply the probabilities:
365[tex] \frac{365}{365} . \frac{1}{365} = 0.0027[/tex]So you have a 0.27% chance of walking up to a stranger and discovering that their birthday is the same day as yours.
I think you are happy with this answer
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).
Answer:
[tex]y = 18*4^x[/tex]
Step-by-step explanation:
We want an exponential equation in the following format:
[tex]y = ab^x[/tex]
Point (0,18):
This means that when [tex]x = 0, y = 0[/tex]. So
[tex]y = ab^x[/tex]
[tex]18 = ab^0[/tex]
[tex]a = 18[/tex]
So
[tex]y = 18b^x[/tex]
Point (2,288):
This means that when [tex]x = 2, y = 288[/tex]. So
[tex]y = 18b^x[/tex]
[tex]18b^2 = 288[/tex]
[tex]b^2 = \frac{288}{18}[/tex]
[tex]b^2 = 16[/tex]
[tex]b = 4[/tex].
So
[tex]y = 18*4^x[/tex]
Which sentence has the quotation marks placed correctly ?
1.) “Mother ," I cut my finger , said Jane.
2.) "Mother, I cut my finger," said Jane.
3.) Mother, I cut my finger, "said Jane."
4.) "Mother, I cut my finger, said Jane."
can I get help with this 3m⁵ x 3m⁷
There are 25 pineapples in a basket. Each pineapple weighs 100 grams. What is the total weight off all the pineapples in the basket? Please use complete sentences when answering the question.