The producer believes that there is more variety in people's appreciation of comedies, and so he assumes that the two population standard deviations are not equal in this situation. Calculate the test statistic (t) for this test. Give your answer to 3 decimal places.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]t = 2.51 [/tex]
Step-by-step explanation:
From the question we are told that
From the question we are told that
The first sample mean is [tex]\= x_1 = 71.1[/tex]
The first standard deviation is [tex]\sigma _1 = 19.4[/tex]
The second sample mean is [tex]\= x_2 = 63.4[/tex]
The second sample deviation is [tex]\sigma_2 = 10.5[/tex]
The first sample size is [tex]n_1 = 55[/tex]
The second sample size is [tex]n_2 = 46[/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{71.1 - 63.4 }{ \sqrt{\frac{19.4^2 }{55} +\frac{10.5^2 }{46} } }[/tex]
=> [tex]t = 2.51 [/tex]
Related Questions
A group of friends is sharing 2 1/2 pounds of berries. If 5 friends are sharing the berries, how many pounds of berries does each friend recieve?
Answers
Answer:
each friend receives 1/2 pound of berries
Step-by-step explanation:
well you have 2 and 1/2 pounds of berries, and there's 5 friends. you divide 2 1/2 by 5 like this: 2.5/5 and you'll get 0.5 pounds, this is the same as 1/2 just in decimal form. simple, hope it helped
sela
Lines a, b, c, and d intersect as shown.
rpod
covery Education
FARI Montage
R
124
95
42
53
39
95
What is x?
Answers
Hope this helps:D
Can someone please help me with this?
Answers
Answer:
126
Step-by-step explanation:
To get the answer for this, we're going to make an algebra equation and add every angle to make 360 in total. First, we can just write the equation.
x+(x-35)+(x-46)+1/2x=360
Next, we can simplify this.
3 1/2x-81=360
3.5x-81=360
Add 81 to both sides.
3.5x-81=360
+81 +81
3.5x=441
Divide by 3.5 on both sides.
3.5x=441
/3.5 /3.5
x=126
Each x is 126.
I hope this helps!!! Have an amazing day C:
Ok so I wanna know how to solve this. Is it like (3x+6)+24=(2x+8) or like (3x+6)+(2x+8)+24=180
Answers
Answer:
24+(2x+8)=3x+6 is the way you set it up
26 is the anser
Step-by-step explanation:
24+2x+8=3x+6
add the 24 and 8
2x+32=3x+6
subtract 6 from both sides
2x+26=3x
subtract 2x from both sides
x=26
What is 10 times as much as .06
Answers
Answer:
0.6
Step-by-step explanation:
If you do 10 times .06 you get 0.6.
4) What answer choice represents 2,413 in expanded form? *
O a) (2 x 1000) + (4 x 100) + (1 x 10) + (1 x 3)
O b) (2 x 1000) + (4 x 1000)+ (1 x 1000) + (3 x 1000)
c) (2 x 1,000) + (4 x 100) + (1 x 100) + (3 x 1)
d) (2 x 10000) + (4 x 100) + (1 x 10) + (3 x 1)
Answers
Answer:
A
Step-by-step explanation:
Because it is 2,413
in 13 liter of milk, 7 liter water has mixed up.what is the percentage of water?
Answers
Answer:53.8%
Step-by-step explanation:
a model boat travels at 20 cm per second.How many meters will the boat travel in 2 minutes
Answers
Answer:
24 metersStep-by-step explanation:
distance = velocity x time
= 20 cm/sec x 1m/100cm x 60 sec/min x 2 min
= 24 meters.
Help me please. Andre and his sisters picked 105 pounds of grapes for their family's farm stand. They put the same amount of grapes into each of 30 bags. How many pounds of grapes were in each bag?
Answers
5.) John goes out to eat at a local restaurant. The bill comes to $24.60. John want to
leave a 15% tip. How much of a tip should he leave?
Answers
Answer:
$3.69 for tip
Step-by-step explanation:
So you would want to find 15% of $24.60
which the answer to that would be $3.69 for the tip
Does anyone know how to do this? Im so confused.
Answers
================================================
Work Shown:
AB+BC+CD = AD .... segment addition postulate
BC+BC+CD = AD ... replace AB with BC (since AB = BC)
BC+BC+BC = AD ... replace CD with BC (since BC = BC)
3*BC = AD .... combine like terms
3*BC = 12 .... replace AD with 12
BC = 12/3 .... divide both sides by 3
BC = 4
For right triangle PBC, the legs are BP = 3 and BC = 4. We can use the Pythagorean Theorem to find that the hypotenuse is PC = 5
The steps are shown below
(BP)^2+(BC)^2 = (PC)^2
3^2+4^2 = (PC)^2
9+16 = (PC)^2
25 = (PC)^2
(PC)^2 = 25
PC = sqrt(25)
PC = 5
The other parts of the diagram seem to be thrown in as a distraction.
Note: Figure not drawn to scale
In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle.
What is the value of x?
Answers
Answer:
The value of x is 144°
Step-by-step explanation:
Let us revise some facts about the circle
The measure of the circle is 360°The length of the circle is 2πr (circumference)If the length of an arc is a/b of the circumference (its length = a/b ×2πr), then the measure of the arc is also a/b of its measure (its measure = a/b × 360°)The measure of any central angle equals the measure of its subtended arcIn the given question
∵ A is the center of the circle
∴ Angle x is a central angle subtended by arc BC
∴ The value of x = the measure of arc BC
∵ The length of the arc BC is 2/5 of the circumference of the circle
∴ The measure of arc BC is 2/5 of the measure of the circle
∵ The measure of the circle = 360°
∴ x = 2/5 × 360°
∴ x = 144°
The value of x is 144°
When the population distribution is normal, the statistic median {|X1 − X tilde|, . . . , |Xn − X tilde|}/0.6745 can be used to estimate σ. This estimator is more resistant to the effects of outliers (observations far from the bulk of the data) than is the sample standard deviation. Compute both the corresponding point estimate and s for the data below. (Round your answers to three decimal places.)25.01, 25.87, 26.34, 26.51, 26.75, 27.24, 27.40, 27.63, 27.83, 27.90, 28.08, 28.13, 28.37, 28.58, 28.59, 28.96, 29.20, 29.22, 29.38, 30.88
Answers
Answer:
The corresponding point estimate is 0.882.
The sample standard deviation is 1.373.
Step-by-step explanation:
The data set is:
S = {25.01, 25.87, 26.34, 26.51, 26.75, 27.24, 27.40, 27.63, 27.83, 27.90, 28.08, 28.13, 28.37, 28.58, 28.59, 28.96, 29.20, 29.22, 29.38, 30.88}
Compute the mean as follows:
[tex]\bar X=\frac{1}{n}\sum X\\\\=\frac{1}{20}\times [25.01+25.87+...+30.88]\\\\=\frac{1}{20}\times 557.87\\\\=27.8935[/tex]
Subtract the mean from each value and take the modulus of those values.
The new data set is:
S₁ = {2.8835, 2.0235, 1.5535, 1.3835, 1.1435, 0.6535, 0.4935, 0.2635, 0.0635, 0.0065, 0.1865, 0.2365, 0.4765, 0.6865, 0.6965, 1.0665, 1.3065, 1.3265, 1.4865, 2.9865}
Arrange these values in ascending order as follows:
S₂ = {0.0065 , 0.0635 , 0.1865 , 0.2365 , 0.2635 , 0.4765 , 0.4935 , 0.6535 , 0.6865 , 0.6965 , 1.0665 , 1.1435 , 1.3065 , 1.3265 , 1.3835 , 1.4865 , 1.5535 , 2.0235 , 2.8835 , 2.9865}
There are 20 observations in the data set.
The median value for an even set of values is the mean of the middle two values.
In this case the median will be the mean of the 10th and 11th observations.
[tex]\text{Median}=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{0.6965+1.0665}{2}=0.8815\approx 0.882[/tex]
Thus, the corresponding point estimate is 0.882.
Compute the standard deviation as follows:
In set S₁ we computed the absolute mean deviations.
Now take the square of these values and divide by (n - 1) to compute the sample variance:
[tex]\sigma^{2}=\frac{1}{n-1}\sum (|X_{i}-\bar X|)^{2}[/tex]
[tex]=\frac{1}{20-1}\times [(2.8835)^{2}+(2.0235)^{2}+...+(2.9865)^{2}]\\\\=\frac{1}{19}\times 35.7953\\\\=1.88396[/tex]
Compute the sample standard deviation as follows:
[tex]\sigma=\sqrt{\sigma^{2}}=\sqrt{1.88396}=1.373[/tex]
Thus, the sample standard deviation is 1.373.
Modeling events using random numbers is known as a/an ______.
A. Census
B. Sample survey
C. Simulation
D. Experiment
Answers
Answer:
C. Simulation
Step-by-step explanation:
The answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
It is given that:
Modeling events using random numbers is known:
As we know, a simulation recreates random occurrences by specifying event outcomes with relative frequencies that match the real-world relative frequencies we're aiming to simulate using random numbers.
It's called a simulation when you use random numbers to model an event.
Modeling events using random numbers is known as a simulation.
Thus, the answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ2
Porcent. Word Problems
1) Potor want to his local zoo that featured 28 bird cachibits. If these bird ochibits make up
80% of the zoo's exhibits, then how many exhibits does the zoo have in total? Round your
answer to the nearest whole number if necessary.
Answers
Answer:
There are 35 total exibits.
Step-by-step explanation:
Geometry question, look at picture
Answers
Answer:
152° = w + 73°
=> 152° - 73° = w
=> 79° = w
If my answer helped, please mark me as the brainliest!!
Thank You!!
what is the answer for this
Answers
Answer:
4. x = 23 degrees
5. m<A = 33 degrees
m<B = 66 degrees
m<C = 82 degrees
Step-by-step explanation:
4.
(2x + 21) + 90 degrees + x = 180 degrees
(2x + 21) + x = 90 degrees
3x + 21 = 90
3x = 69
x = 23 degrees
5.
2x + x + (2x + 15) = 180 degrees
5x + 15 = 180
5x = 165
x = 33
A case of single-serving bags of chips contains 8 boxes. Each box contains 10 bags of chips.
A case of chips cost $29.60. What is the unit price for a single bag of chips?
Answers
Answer:
each bag of chips are 0.37 cents
Step-by-step explanation:
1 case =29.60
29.60 divided by 8 (number of boxes in case)=3.70
3.70 divided by 10(number of chip bags in box)=0.37
Therefore each bag of chips = 0.37cents
Hank borrowed $780 from his cousin. His cousin told him he would charge him 4% interest rate. If he paid his cousin $3 in interest, how long did it take Hank to pay his cousin back?
Answers
Answer:
sorry i could not answer
Step-by-step explanation:
that questions answer is golmaal
can someone please help me with this ! thank youu
Answers
An item is regularly priced at $85. Salma bought it on sale for 35% off the regular price.
Answers
Help AS SOON AS POSSIBLE PLEASE HELP
Answers
Answer:
R.I.P Gl man im lost...
You have $200 in a savings account. Each week for 8 weeks, you take out $18 for spending money. How much money is in your account at the end of 8 weeks? Show your work.
Answers
$56
Explanation:
8 weeks is multiplied by the amount you’re taking out, (144), and that number is then subtracted from your $200 in savings.
Amil took $65.00 to go shopping and he bought two pairs of jeans for $27.00 each. How much change will he have ? Choose the expression that is a correct translation of the problem
Answers
Answer:
11.00
Step-by-step explanation:
1. Since he's trying to buy 2 pairs you can multiply 27.00 by 2 or you can just add 27.00+27.00 and will get 54.00
2. Subtract 65.00-54.00
3. and you'll get 11.00
3(4x + 2)
Pleaseee helppppp meeeeeee
Answers
Answer:
12x + 6
Step-by-step explanation:
3(4x + 2)
you distribute the 3 to 4x and 2
12x + 6
hope this helps
For questions 18-20, if I ll m, find the values of .x and y.
18.
(3x - 16)
(lly - 32)
(6x + 7)
Answers
Answer
x=3.8 16.1
Step-by-step explanation:
i deeply apologize if this is incorrect but this is the work i did to make this answer
3x-16=6x+17
-3x+16
6x 23
x=3.8
y
6(3.8)+7+11y-32=180
22.8+7
29.8+11y-32=180
32
-29.8
11y+2.2=180
11y=177.8
y=16.1
What is the length of AC?
3 ft
4 ft
N
4 ft
M
ОООО
9 ft
9 ft
18 ft
С
Answers
Answer:
the answer is 18 feet because that line in the middle of the triangle is half the size of AC
Would the product change if 50 + 2 on the top of the area model was changed to 20 + 30 + 2? Explain
Answers
Answer:
It would not change
Step-by-step explanation:
Because if you add you get the same thing
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
8h=240
How many hours did Jane babysit last week?
Answers
Answer:
30 Hours
Step-by-step explanation:
8h=240
240÷8=30
Answer:
30
Step-by-step explanation:
Because 8 x 30 = 240 or
240 Divided by 8= 30
What is the inverse of f(x) =1/3x+2?
O h)=x+2
h h)x-2
O hx) 3x-2
ht) 3x-6
Answers
Answer:D
Step-by-step explanation:
Answer:
the answer is D HOPE THIS HELPStep-by-step explanation: