Randomly selected 150 student cars have ages with a mean of 7.3 years and a standard deviation of 3.6 years, while randomly selected 65 faculty cars have ages with a mean of 5.9 years and a standard deviation of 3.5 years.
1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars.
The test statistic is
Is there sufficient evidence to support the claim that student cars are older than faculty cars?
A. Yes
B. No
2. Construct a 99% confidence interval estimate of the difference μ1−μ2, where μ1 is the mean age of student cars and μ2 is the mean age of faculty cars. <(μ1−μ2)
Answers
Answer:
1) B. NO
2) -0.049 < (μ1 − μ2) > 2.751
Step-by-step explanation:
Data of student cars;
Sample size; n1 = 150
Sample mean; x1¯ = 7.3
Sample standard deviation; s1 = 3.6
Faculty cars data;
Sample size; n2 = 65
Sample mean; x2¯ = 5.9
Sample standard deviation; s2 = 3.5
The hypotheses is defined as;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
1) Formula for test statistic for 2 sample test is;
z = (x1¯ - x2¯)/√[((S1)²/n1) + ((S2)²/n2)
z = (7.3 - 5.9)/√[((3.6)²/150) + ((3.5)²/65)
z = 1.4/√((12.96/150) + (12.25/65))
z = 1.4/√0.2749
z = 1.4/0.5243
z = 2.67
From online p-value from z-score calculator attached, using z = 2.67, one tailed test, significance level = 0.01,we have;
P-value = 0.003793
This is less than the significance level, thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that student cars are older than faculty cars.
2) Formula for the confidence interval is;
CI = μ1−μ2 = (x1¯ - x¯2) ± z√[((S1)²/n1) + ((S2)²/n2)
At significance level of 99%, z-score value is 2.576
Thus;
μ1−μ2 = (7.3 - 5.9) ± 2.576√[((3.6)²/150) + ((3.5)²/65)
μ1 − μ2 = 1.4 ± 2.576(0.5243)
-0.049 < (μ1 − μ2) > 2.751
Related Questions
240 miles in 6 hours unit rate
Answers
Answer: 40 mph (miles per hour)
Step-by-step explanation:
Alan is giving a basic math test in his class. One of the questions in the test is about finding two factors of the number 221. Which are the two factors of the given number?
Answers
Answer:
★ The two factors of the number 221 are 13 and 17.
A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.
Step-by-step explanation:
Hope you have a great day :)
Simplify: 22w - (-14w)
Answers
Answer:
36w
Step-by-step explanation:
PLEASE GUYS HELP 60 POINTS PLS HELP
Complete the following:
1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number between 0 and 10 to be the exponent.
2. Label the base and the exponent.
3. Then write the exponential expression in expanded form and standard form
Answers
Answer:
[tex]e\frac{4}{3}[/tex] will be the exponential expression.
Step-by-step explanation:
We have to choose a number between 0 ad 10 and has to be odd to be base say 3
And even number between 0 ad 10 to be exponent say 4.
So the exponential expression will be : [tex]e\frac{4}{3}[/tex]
According to the information given above expression is the required expression.
Answer:
43
Step-by-step explanation:
Subtract the following polynomials
Answers
Answer:
3.1x x+12.04zx-1.2z.....
In August of 2012, Usain Bolt was named the fastest man in the world when he completed a 200-meter race in 19.32 seconds. Assuming he traveled at a constant speed, how much time did he take to run 1 meter?
Answers
Whoever answers correctly gets brainlist.
Answers
Answer:
its 23/36
Step-by-step explanation:
Given: tanA= -square root 15
What is the value of tan (A-pi/4)?
Answers
Answer:
D
Step-by-step explanation:
The value of tan (A-pi/4) is (-√(15)- 1) / 1 -√(15).
What is Tan(a - b) Identity in Trigonometry?One of the trigonometric identities for compound angles is the tan(a-b) identity. When the angle for which the tangent function value is to be determined is supplied in the form of the difference of any two angles, it is used. The compound angle is denoted by the angle (a-b) in the formula for tan(a-b).
Given:
tanA = -square root 15
tanA = -√(15)
To find the value of tan (A-pi/4):
Use the formula,
Tan(a - b) Identity
tan(A-B) = (tanA - tanB) / 1 + (tanAtanB)
Substituting the values,
tan(A-π/4) = (tanA - tanπ/4) / 1 + (tanAtanπ/4)
tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)
tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)
tan(A-π/4) = (-√(15)- 1) / 1 -√(15)
Therefore, the value is tan(A-π/4) = (-√(15)- 1) / 1 -√(15)
To learn more about the tan(a-b) identity;
https://brainly.com/question/29004224
#SPJ2
PLEASE HELP ME I NEED IT
X=
Y=
Answers
Step by step explanation if you see the right angle at 57 degrees it part of x so x plus 57 is 90 and 90 minus 57 is 33 so x is 33 and x and y also form a right angle so x plus y should equal 90 and 90 minus 33 is 7 so that’s Y
Answer:
X=33 degrees
Y= 45
Step-by-step explanation:
The x would've been 90 degrees but the 57 degrees got in the way so if you subtract the 57 from 90 you get 33.
The y is if you look on the opposite side of the y there is a blank space that is the same exact size as the y size. So that would've been a 90 degrees as well but the other 90 degrees cut in the middle of it. Making you divide 90 in half.
Which set of numbers includes only whole numbers? Rational Numbers Integers Whole Numbers 7. -4, 5.0
Answers
Answer:
2, 5, 8, 15
Step-by-step explanation:
The set of whole numbers is: 0, 1, 2, 3, ...
It includes zero but no negative numbers.
Answer: 2, 5, 8, 15
A) 6
B) 8
C) 12
D) 16
Answers
Answer:
b
Step-by-step explanation:
you would multiply -3/4 by it reciprocal (4/-3) and also multiply -6 by 4/-3 and you would-24/-3 then you would simplify it and get 8 ( a negitive tames an negitve would be a positive)
4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!
Answers
Answer:
x = 24
Step-by-step explanation:
[tex]\frac{4}{3}[/tex]x + [tex]\frac{1}{6}[/tex]x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
[tex]\frac{8}{6}[/tex]x + [tex]\frac{1}{6}[/tex]x = 36
Now we can calculate the numerators and keep the denominators the same.
[tex]\frac{9}{6}[/tex]x = 36
Find x.
[tex]\frac{6}{6}[/tex]x = [tex]\frac{6}{9}[/tex] × 36
x = 24
If \triangle BTS\cong\triangle GHD△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m\angle∠S = 56°, m\angle∠B = 21°, and m\angle∠H = (7y + 5)°, find the value of y.
Answers
Given:
△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.
To find:
The value of y.
Solution:
In △BTS,
[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex] (Angle sum property)
[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]
[tex]m\angle T+77^\circ=180^\circ[/tex]
[tex]m\angle T=180^\circ-77^\circ[/tex]
[tex]m\angle T=103^\circ[/tex]
We have,
[tex]\Delta BTS\cong \Delta GHD[/tex]
So, [tex]\angle T\cong \angle H[/tex] (By CPCTC)
Then, [tex]m\angle T=m\angle H[/tex]
Now,
[tex]103=7y+5[/tex]
[tex]103-5=7y[/tex]
[tex]98=7y[/tex]
Divide both sides by 7.
[tex]14=y[/tex]
Therefore, the value of y is 14.
On a coordinate plane, the fountain is at (7, 5), the gardens are at (3, negative 5), the pond is at (negative 1, 7), and concessions are at (negative 7, 0). Refer to the park map and check all that apply. The gardens are located in the fourth quadrant. The concessions are located on the y-axis. The x- and y-coordinates of the location of the fountain are both positive. The x-coordinate of the location of the pond is negative, and the y-coordinate is positive. The pond is located in quadrant I.
Answers
Answer:
The guy above me was rude. The answer is A, C, D. I just got it right on my assignment.
Step-by-step explanation:
For the meme: no
Answer:
its a,c,d
Step-by-step explanation:
Got It Right Edge2021
Hank owed a friend $2.00 then paid back the $2.00. Which of these describes how much Hank owes now?
Answers
Answer:
A
Step-by-step explanation:
If he borrows two dollars that looks like it should be +2 because he has 2 dollars that he didn't have before. But ...
The problem is that he now owes 2 dollars. So the two dollars that he borrowed is wiped out.
+ 2 for the two dollars - 2 when he pays it back. Result 0
+2 - 2 = 0
A
Answer:
I think it's A
Hank paid back the 2$ that he owned his friend so he no longer owes him more money so -2+2=0
Dan needs to get to austin as fast as possible. The train leaves at 3pm and can travel at a speed of 60 miles per hour. if austin is 65 miles away, how long will it take dan to get there?
Answers
Answer:
like an hour and some minutes
Step-by-step explanation:
60 miles per HOUR
hour=1
65 miles away
60 miles in 1 hour + 5 miles in sum mins
An assembly line inspector inspected 340 machine parts. 323 of the parts passed inspection. What percent of the machine parts did NOT pass inspection?
Answers
Answer:
5% did not pass inspection
Step-by-step explanation:
Given
[tex]Inspected= 340[/tex]
[tex]Passed = 323[/tex]
Required
Determine the percentage of parts that didn't pass inspection.
First, we need to calculate the number of those that didn't pass inspection.
[tex]Failed = Inspected - Passed[/tex]
[tex]Failed = 340 - 323[/tex]
[tex]Failed = 17[/tex]
Next, we calculate the percentage as follows:
[tex]\% = \frac{Failed}{Inspected} * 100\%[/tex]
The above formula is derived by dividing the number of parts that didn't pass inspection by the total machine inspected, then multiplied by 100%
So:
[tex]\% = \frac{17}{340} * 100\%[/tex]
[tex]\% = \frac{17 * 100\%}{340}[/tex]
[tex]\% = \frac{1700\%}{340}[/tex]
[tex]\% = 5\%[/tex]
5% did not pass inspection
HELP ANSWER PLZ!!!!!!!!!!!!!!!!!!!!!
Answers
2. 5/q-5q
3. q/5+5q
4. 5(q-5)
Hope this helps. Brainliest or Thanks would be appreciated!
What is the Mean,Median Mode. 1. 8,3,3,17,9,12,19 2. 11,8,2,5,17,39,52,42
Answers
19 and 8 is the answer of this question ok
Johannes needs to buy replacement team uniform...
Answers
Answer:
D.
Step-by-step explanation:
(Pls add an image of the area model and ill give brainliest!! :D)
Solve the division equation below using an area model.
7,436÷ 13 = _____
Answers
7436 ÷ 13 = 572
I didn't understand the rest of the thing u mentioned
2x - y = 3 and x+ y = 0
Answers
Answer:
I think this is it.....If not let me know
2x - y = 3
Slope = 2
x - intercept = 3/2 = 1.50000
y - intercept = 3/-1 = -3.0000
x + y = 0
Slope = -2.000/2.000 = -1.000
x - intercept = 0/1 = 0.0000
y - intercept = 0/1 = 0.0000
3.3 Sam drove from his house to College. When he stopped at College he saw on the instrument panel
of his car that he covered 26.5 km. consider the figure below and answer the following questions
(a) what is the distance converted sam
Answers
Answer:
question is not complete
Determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.
y = 4x + 5
4x + y = -13
Answers
Answer:
They are neither parallel nor perpendicular.
it isn't parallel because they cross
it's not perpendicular because they don't cross at a 90 degree angle
Step-by-step explanation:
Hope this helps you and btw u should download desmos it's an amazing calculator that graphs these things for you!!! hope u have a wonderful day and stay safe and healthy:)))
Please help as fast as you cannn
Answers
Answer:
-43 < -35
(Negative 43 is less than negative 35).
ANSWER ASAP
How do we use the area of a polygon for Igloos?
Answers
Answer:
Igloos, Cones (such as ice cream cone), triangles ( such as roofs seen from one ... The tiles need to tessellate to cover an area without leaving any gaps .
Step-by-step explanation:
Any form of tiling involves polygons. The tiles need to tessellate to cover an area without leaving any gaps. This is directly connected to the angle properties of polygons.
Architects include polygons with every plan of a house - rooms usually have 90° corners, but not always. Rooms on a plan are polygons.
The cost of building any structure depends on the lengths of the walls and the size of the angles - all properties of polygons.
If a single free-standing room is to be built, the greatest ratio between the area and the perimeter is in a circle.
The smallest ratio between the area and the perimeter is found in a triangle. The best ratio in tessellating polygons is in a hexagon.
As soon as the cost of doing something one way as compared to another, it becomes a real life issue.
We are surrounded by polygons all the time.
hope this will help you... please follow me!!
Please answer the question
Answers
Use the graph to predict the number of hours it would take to drive 180 miles.
Answers
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Answers
either 37, 17, 20 or 24, 26, 51
Answer:
its C can i get brainliest i only need 1 more
Step-by-step explanation:
Can I please get help plsss
Answers
Answer:
1000 ft/min
Step-by-step explanation:
Rate of change in ft per min is 1000 ft per 1 minute from reading the graph