Answer:
1
The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial
2
The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population
3
[tex]t = 3.054[/tex]
4
The p-value is [tex]p-value = P(Z > 3.054) = 0.0011291[/tex]
5
The conclusion is
There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial
The test statistics is
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 51[/tex]
The first sample mean is [tex]\mu_1 = 36[/tex]
The second sample size is [tex]n_2 = 41[/tex]
The second sample size is [tex]\mu_2 = 25[/tex]
The first standard deviation is [tex]\sigma _1 = 21.4 \ g[/tex]
The second standard deviation is [tex]\sigma _2 = 12.8 \ g[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_ 2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }[/tex]
=> [tex]t = 3.054[/tex]
The p-value is mathematically represented as
[tex]p-value = P(Z > 3.054)[/tex]
Generally from the z table
[tex]P(Z > 3.054) = 0.0011291[/tex]
=> [tex]p-value = P(Z > 3.054) = 0.0011291[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] so the null hypothesis is rejected
Thus the conclusion is
There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial
The value of the difference in the mean number of chips eaten can be used to test the hypothesis.
The correct responses are;
1. The claim is that children that watched the given commercial ate more Walker Crisps potato chips than others. The null hypothesis is [tex]\underline {H_0; \ \overline x_1 = \overline x_2}[/tex] , the alternative hypothesis is, [tex]\underline{H_a; \ \overline x_1 > \overline x_2}[/tex] 2. The kind of test to use is a t-test3. The test statistic is approximately 3.0544. The p-value is; 0.001 < p-value < 0.00255. Reject the null hypothesis, there is significant statistical evidence to suggest that the children that watched the commercial ate more Walter Crisps potato chips than children that watched the commercial for an alternative snack.Reasons:
The given parameters are;
The amount of Walker Crisps potato chips children ate, based on commercial watched.
Celebrity endorsed food snack commercial mean, [tex]\overline x_1[/tex] = 36 g
Sample size that watched the celebrity endorsed commercial, n₁ = 51
Alternative food snack commercial mean, [tex]\overline x_2[/tex] = 25 g
Sample size that watched the other commercial = 41
Standard deviation, SD, of the samples;
Sample that watched the celebrity endorsed commercial, SD₁ = 21.4 g
Sample that watched the other commercial, SD₂ = 12.8 g
Reasons:
1. The claim from the question is; The mean amount of Walker Crisp eaten was significantly higher for the children who watched the sports celebrity - endorsed Walker Crisps commercial.
The null hypothesis is, H₀; [tex]\overline x_1 = \overline x_2[/tex] (There is no difference in the mean)
The alternative hypothesis is, Hₐ; [tex]\overline x_1[/tex] > [tex]\overline x_2[/tex] (The mean of the amount of Walker Crisps eaten is significantly higher for the children that watched the sports celebrity-endorsed commercial)
2. Given that the aim of the study is to determine if the mean of the first
sample is higher than the mean of the second sample, the kind of test to
be performed is the test of the difference in the mean of the two samples
based on specified hypothesis, (one sample is higher), which is done using
a t-test, given that the population mean is not specified (unknown).
The kind of test to use is a t-test
3. The test statistic is given by Welch's Test for unequal variance as follows;
[tex]\displaystyle t = \mathbf{\frac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{s_1^2}{n_1} +\dfrac{s_2^2}{n_2} } }}[/tex]
Which gives;
[tex]\displaystyle t = \frac{36- 25}{\sqrt{\dfrac{21.4^2}{51} +\dfrac{12.8^2}{41} } } = \frac{77500}{25379} \approx 3.054[/tex]
The test statistic, t ≈ 3.054
4. From the above test statistic and by finding, degrees of freedom, df as follows, the p-value can be found.
[tex]\displaystyle df = \mathbf{\frac{\left(\dfrac{s_1^2}{n_1} +\dfrac{s_2^2 \righ}{n_2} \right)^2}{\dfrac{1}{n_1 - 1} \cdot \left( \dfrac{s_1^2}{n_1} \right)^2 + \dfrac{1}{n_2 - 1} \cdot \left( \dfrac{s_2^2}{n_2} \right)^2}}[/tex]
Which gives;
[tex]\displaystyle df = \frac{\left(\dfrac{21.4^2}{51} +\dfrac{12.8^2 \righ}{41} \right)^2}{\dfrac{1}{51 - 1} \cdot \left( \dfrac{21.4^2}{51} \right)^2 + \dfrac{1}{41 - 1} \cdot \left( \dfrac{12.8^2}{41} \right)^2} \approx \mathbf{83.69}[/tex]
From the t-test table, we have the p-value of the result as follows;
The p-value is; 0.001 < P(t > 3.054) < 0.0025.
5. The conclusion that can be made is; Given that the p-value of the test
statistic is less than the given alpha value of 0.05, we reject the null
hypothesis, given that there is significant statistical evidence to show that
the mean amount of Walker Crisp eaten was significantly higher for the
children that watch the celebrity-endorsed Walker Crisps commercial.
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You need at least $40 to buy some notebooks, but your parents don’t want to give you more than $50. Write an inequality representing the possible amount of money you could get.
m = amount of money you receive
You need at least $40, so that means you need m = 40 or more
So [tex]m \ge 40[/tex] which is the same as saying [tex]40 \le m[/tex]. You flip both sides and also flip the inequality sign as well.
At the same time, your parents won't give you more than $50. So the largest m can get is m = 50. This means [tex]m \le 50[/tex]
-----------------
Combine [tex]40 \le m[/tex] and [tex]m \le 50[/tex] to get the compound inequality [tex]40 \le m \le 50[/tex]
This represents all the possible values of m. We see that m can get as small as m = 40, or as large as m = 50, or anything in between.
------------------
Answer: [tex]40 \le m \le 50[/tex]
Give the numerical value of the parameter p in the following binomial distribution scenario.
A softball pitcher has a 0.721 probability of throwing a strike for each pitch and a 0.279 probability of throwing a ball. If the softball pitcher throws 19 pitches, we want to know the probability that more than 15 of them are strikes. Consider strikes as successes in the binomial distribution. Do not include p in your answer.
Step-by-step explanation:
;x = 0, 1, 2, ....n
Hamdah wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function. =Aw−50017w Answer the following questions. (a) If Hamdah still needs $211, how many weeks has she been saving? weeks (b) How much money does Hamdah still need after 5 weeks? $
Answer:
a) 14.11 dollars (b) 204 dollars
Step-by-step explanation:
(a) 500 - 211 = 289 289 '/. 17 = 14 r:7 14.7 dollars
(b) 17 x 5 = 85 289 - 85 = 204
hope this helped :)
Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning.
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
30 students
9 of them wearing red
Maddie says 30% of her class is wearing red.
you know this because 30 total students take away 9 and you have 21.
now what you do is take that and you are left with 21 and then you add the nine back so you get 30%!!! DONE BOOM
Use the diagram to complete the statement.
Answer:
∠FJH ≅ ∠BJA
Step-by-step explanation:
From the given image, we notice that the only congruent relation ∠FJH has is with ∠BJA.
Where ∠BJA is vertically opposite to ∠FJH
Hence, we can say that ∠FJH ≅ ∠BJA since both these angles are vertically opposite
who will give my answer I will mark as a brand list and follow in your back please give all the answer of the question desert 2 question only
Answer:
Question 2. 12% of 650 = 78
Step-by-step explanation:
100% = 1 in decimal form.
This is because finding 100% of something is the same as multiplying it by 1:
E.g. 100% of 10=10, 10x1 = 10
Therefore to find a percentage of something, we simply need to multiply it by the decimal form of that percentage. For example, if we were finding 50% of 10 (half), 50% in decimal form is 0.5, 10x0.5 = 5
The percentage here is 12%, we can find the decimal form by dividing it by 100, 12/100 = 0.12
So, in order to find 12% of 650, we just need to multiply 650 by 0.12:
650x0.12 = 78
12% of 650 = 78
Hope this helped!
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
1. Simplify: 10(y+4)-2(y+1).
Answer???
Answer:
8y+38
Step-by-step explanation:
Answer:
2(4y+19)
I hope this helps :)
2/5 divided by 5/6 is? Express ur awnser in the simplest form. DIVIDING FRACTIONS! pls help right away and thx :)
2/5 divided by 5/6 equals 12/25.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to divide 2/5 by 5/6, we multiply 2/5 by the reciprocal of 5/6.
Reciprocal of 5/6 = 6/5
Now, we can multiply the fractions:
[tex]\frac{2}{5} \times \frac{6}{5}[/tex]
[tex]= \frac{2 \times 6}{5 \times 5}[/tex]
[tex]= \frac{12}{25}[/tex]
Therefore, 2/5 divided by 5/6 equals 12/25.
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Copy and complete this table of values for y=x+4? Please answer
If a person can walk with an average speed of 5 meters/second, how far will they walk in 8 minutes?
Answer:
2,400
Step-by-step explanation: If a person can walk 5 meters per second and there are 60 seconds in a minute then you would multiply 5 by 60 and get 300. Then you multiply that by 8 and get 2,400.
Answer:
5 meters a second
60 seconds in a minute
5 x 60= 300
8 minutes
300 x 8 = 2400 meters in 8 minutes
Step-by-step explanation:
what is the quotient of 2,173 ÷ 53
A. 341 R 3
B. 341 R 7
C.409 R 3
D.409 R 7
a line has a slope of -2/11 and a y intercept of 5/11. which of the following is an equation of the line?
F. 11x − 2y = 5
G. 2x + 11y = 5
H. 11x + 2y = −5
J. 2x + 5y = 11
help me pretty please. with 11th grade math
Answer:
180 the answer. English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
solve for x x+3=(-7) i need explanation
Answer:
x=-10
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Please help me with this!! tysm <3
Answer:
5
Step-by-step explanation:
What is the product of 5 1/2 and 1/8 (fractions only)
Answer:
[tex]5\frac{5}{8} \\[/tex]
hope this is what you what.
PLEASE HELP ASAP!!! :)
Using the remainder theorem, what is the remainder of the quotient of x^3– 6x^2 + 4x– 5 and 1 - 3?
A.88
B. -20
c.-74
D. 34
Answer:
The correct answer is B. -20.
Step-by-step explanation:
I got it right on the Edmentum test.
The remainder of the quotient is -20.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x³ - 6x² + 4x - 5 and x - 3
Now,
x - 3 ) x³ - 6x² + 4x - 5 ( x² - 3x - 5
x³ - 3x²
(-) (+)
-3x² + 4x
-3x² + 9x
(+) (-)
-5x - 5
-5x + 15
(+) (-)
-20
Thus,
The remainder is -20.
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What is the answer to the multiplication problem that is modeled below?
a 3/4
b 7/8
c 3/8
d 1/2
Answer:
I think is A
Step-by-step explanation:
ssssssssdhdtdñuxouryoetwarsgdkcktctkcykcykcyovyoctidrstidgkvlh lhchictixtix
Answer:
I would say C ig
Explanation: I never seen this method in my life ir atleast I don't remember but you got a 25% chance if success rate
Write the expression. Then, check all that apply.
a number cubed increased by four
A 2-column table with 4 rows. Column 1 is labeled Key Words with entries a number, cubed, increased by, four. Column 2 is labeled replace with entries n, exponent of 3, +, 4.
“A number cubed” is a power, where the base is the variable, n, and the exponent is 3.
“A number cubed” is a power where the base is 3 and the exponent is n.
“Increased by 4” means add 4.
“Increased by 4” means multiply by 4.
The expression is written as n3 + 4.
The expression is wriitten as 4n3
Answer:
It's a, b, and d
Step-by-step explanation:
Okay so, I just got the question and just answered it lol
its A, B, and D
so
[ Replace "a number" with the variable n]
[The two operations are multiplication and addition]
[The expression is written as 4n + 7]
Hope this helps! :)
The expression is written as n³ + 4 which represents "a number cubed" as a power, where the base is the variable, n, and the exponent is 3.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values.
As per the question, the phrase "A number cubed" is a power, where the base is the variable, n, and the exponent is 3.
"Increased by 4" means add 4.
⇒ n³ + 4
Thus, the expression is written as n³ + 4.
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3 3/10 ÷ 1 4/7 to the lowest terms
Answer:
2 1/10
Step-by-step explanation:
33/10 ÷ 11/7
33/10 x 7/11
231/110
21/10
2 1/10
True or False...does the verbal situation
represent the equation 2 + 1.5x = 2x?
Billy's movie club charges a membership fee of $2 plus $1.50
per rental, while Suzie's movie club has no membership fee
but charges $2 per rental. Bill and Suzie find that they each
rented the same number of movies last month and paid the
same total amount. Find x, the number of movies each
person rented.
The ratio of pencils to pens in the drawer is 12:32. If there are actually twice as many pencils as in the ratio, how many pencils and pens are there in the drawer?
A:24 pens, 64 pencils
B: 12 pencils, 32 pens
C: 24 pencils, 64 pens
D: 12 pens, 32 pencils
Answer:
24 pencils : 64 pens
Step-by-step explanation:
pencils : pens
12:32
Twice as many pencils mean multiply each by 2
12*2 : 32*2
24: 64
24 pencils : 64 pens
Answer:
B
12x2=24
32x2=64
What is the solution for the equation 6x - 8 = 4x?
O x = 0.8
Ox=4
Ox=8
Ox= 16
Answer:
0= 48×45 =2160 0=4×16 =32 0=8×64=1120=16×16=256 jadi semuanya ada jumlahjadi kakak pilih 4×16
karena:
4×16×4 = 256
Step-by-step explanation:
thanks you
i'm sorry ya kalo salah
a bakery sells 1230 cakes durinc a holiday season. one third of them are caramel cakes one gslf are chocolate cakes and the remaining are banana cakes. what is the total amount earned by the bakery by selling cakes furing the holidsy season
ASAP NEED HELP RN angle ABC = ?
4 ➗ 4/5 SIMPLEST FORM
Answer:
It is 5! :)
:3
Answer:
simplest form is 5.
Step-by-step explanation:
4/1 / 4/5
4/1 * 5/4=20/4
20/4=10/2 or 5/1 or 5
5.
3x + 21 6x - 60 find the two angles measure from the diagram answers 78,102 78,78 or 102,102
Answer:
102 and 102Step-by-step explanation:
There is no diagram attached
It is assumed the angles are vertical
Vertical angles are congruent as per vertical angles theorem
3x + 21 = 6x - 606x - 3x = 21 + 603x = 81x = 81/3x = 27Angle measures
3*27 + 21 =81 + 21 = 102So the answer is
102 and 102The following data points represent how many goals Hank scored each season. 45 , 43 , 45 , 44 , 44 , 44 , 47
Answer:
so if you are looking for Mean, Range, and Median:
Median:44
Range:44
Mean: estimated: 44.6
Step-by-step explanation:
Answer:
If your looking for the M.A.D here
Step-by-step explanation:
Step 1. 45+43+45+44+44+44+47 =312
Step 2. 312/7 =44.57
Step 3.
45 - 44.57=0.43
43 - 44.57=1.57
45 - 44.57=0.43
44 - 44.57=0.57
44 - 44.57=0.57
44 - 44.57=0.57
47 - 44.57=2.43
Step 4.
0.43+1.57+0.43+0.57+0.57+0.57+2.43=6.57
Step 5.
6.57/7 = 0.93
the difference of twice a number and 10 is less than or equal to -23
Answer:
2x - 10 ≤ -23
Step-by-step explanation:
Hope this helps :)