The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contain a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.
Company A
34 59 43 30 3
32 42 85 30 48
110 50 10 26 70
52 83 78 27 70
27 90 38 52 76
Company B
46 63 43 33 65
104 45 27 39 84
75 44 34 51 63
42 34 34 65 64
(a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
B) H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
C)H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
D) H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 0
E) H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
Company A______ min.
Company B______ min.
(c) Calculate the test statistic. (Round your answer to three decimal places.)
test statistic=
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
A) Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time
B) Do not Reject H0. There is statistical evidence that one airline does better than the other in
terms of their population mean delay time.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
D) Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Answer:
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
(b) Means
Company A___50.6___ min.
Company B___52.75___ min.
c)The t-value is -0.30107.
The p-value is 0 .764815.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Step-by-step explanation:
A)H0: μ1 − μ2 = 0
i.e there is no difference between the means of delayed flight for two different airlines
Ha: μ1 − μ2 ≠ 0
i.e there is a difference between the means of delayed flight for two different airlines
(b)
Company A___50.6___ min.
Company B___52.75___ min.
Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25
= 1265/25= 50.6
Mean of Company B = x`2= ∑x/n =
=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20
= 1055/20= 52.75
Difference Scores Calculations
Company A
Sample size for Company A= n1= 25
Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24
Mean for Company A= x`1= 50.6
Total Squared Difference (x-x`1) for Company A= SS1: 16938
s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75
Company B
Sample size for Company B= n1= 20
Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19
Mean for Company B= x`2= 52.75
Total Squared Difference (x-x`2) for Company B= SS2=7427.75
s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93
T-value Calculation
Pooled Variance= Sp²
Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)
Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65
s2x`1 = s2p/n1 = 566.65/25 = 22.67
s2x`2 = s2p/n2 = 566.65/20 = 28.33
t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3
The t-value is -0.30107.
The total degrees of freedom is = n1+n2- 2= 25+20-2=43
The critical region for two tailed test at significance level ∝ =0.05 is
t(0.025) (43) = t > ±2.017
Since the calculated value of t= -0.30107. does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.
The p-value is 0 .764815. The result is not significant at p < 0.05.
In this exercise, it is necessary to use the knowledge given by the airlines and the flights, having as a solution:
a)[tex]H_0: \mu_1 -\mu_2 = 0\\H_a:\mu_1 -\mu_2\neq 0[/tex]
b) Means: Company A 50.6 min.
Company B 52.75 min.
c)The t-value is -0.30107.
The p-value is 0 .764815.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
A)[tex]H_0: \mu_1 -\mu_2 = 0[/tex]
There is no difference between the means of delayed flight for two different airlines:
[tex]H_a:\mu_1 -\mu_2\neq 0[/tex]
There is a difference between the means of delayed flight for two different airlines.
(b) Mean of Company A[tex]= x_1= \sum{x/n} = 1265/25= 50.6[/tex]
Mean of Company B [tex]= x_2= \sum{x/n} =1055/20= 52.75[/tex]
C) Difference Scores Calculations:
Company A:
Sample size for Company [tex]A= n1= 25[/tex]
Degrees of freedom for company [tex]A= df1 = n1 - 1 = 25 - 1 = 24[/tex]
Mean for Company [tex]A= x_1= 50.6[/tex]
Total Squared Difference for Company [tex]A= SS1: 16938\\s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75[/tex]
Company B:
Sample size for Company [tex]B= n1= 20[/tex]
Degrees of freedom for company [tex]B= df2 = n2 - 1 = 20 - 1 = 19[/tex]
Mean for Company[tex]B= x_2= 52.75[/tex]
Total Squared Difference for Company [tex]B= SS2=7427.75\\s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93[/tex]
T-value Calculation
Pooled Variance= Sp²
[tex]Sp^2= ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)\\Sp^2= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65\\s2x_1 = s2p/n1 = 566.65/25 = 22.67\\s2x_2 = s2p/n2 = 566.65/20 = 28.33\\t = (x_1 - x_2)/\sqrt{s2x_1 + s2x_2} = -2.15/\sqrt{51} = -0.3[/tex]
The t-value is -0.30107.
The total degrees of freedom is [tex]= n1+n2- 2= 25+20-2=43[/tex]
The critical region for two tailed test at significance level ∝ =0.05 is [tex]t(0.025) (43) = t > 2.017[/tex]
Since the calculated value of t= -0.30107. does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.
The p-value is 0 .764815. The result is not significant at p < 0.05.
Learn more: brainly.com/question/14356533
There were 8 pizzas at the pizza party for two families. The Houston family ate 2 2/3 pizzas.
The Ozark family ate 2 5/6 pizzas.
What whole number is the closest estimate of how many pizza was left
Answer:2 pizzas
Step-by-step explanation:
2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.
Answer:
2 pizzas
Step-by-step explanation:
Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?
Answer:
Part A:
She would need $598 after 6 weeks of collecting money.
Part B:
She would have waited 17 weeks to have $411 left.
Step-by-step explanation:
Part A:
Replace w in 700 - 17w with 700 - 17(6).
This would give you $598 left until $700 has been reached.
Part B:
Replace w in 700 - 17w with 700 - 17(17).
This would give you $411 left until $700 has been reached.
Help me plz what is the theme
Making new friends is too difficult, so you shouldn’t try.
You have to take risks in order to get rewards.
Jared felt lonely and sad because he was too afraid to take a chance.
Honesty is always the best policy.
Answer:
There is no passage/short story etc. to base this question off of, but if you copy and paste it I'll come back and edit my answer :)
Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.
Answer: A, D, and E
Step-by-step explanation:
Which fraction is greater 2/5 or 4/10
They are equal. 2/5 is 4/10.
what is a decimal in mathematics
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
Given : M, N, O are midpoints of AB, BC, AC Complete the following statements
MNOA is a
PLEASE HELP I DON’T UNDERSTAND
Answer:
yea I don't understand either kid, it's upside down.
Step-by-step explanation:
Johanna can jog 24 feet in 5 seconds. If she jogs at the same rate, how many feet can she jog in 8 seconds? PLSS help!
express 0.6 + 0.47 in the form p/q where p and q are integers q are not equal to 0
Answer:
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
Step-by-step explanation:
Given
[tex]0.6 + \bar 0.47[/tex]
Required
Express as x/y
Let
[tex]x = \bar 0.47[/tex]
This implies that:
[tex]x = 0.4747[/tex] --- (1)
Multiply by 100
[tex]100x = 47.4747[/tex] --- (2)
Subtract 1 from 2
[tex]100x - x = 99x[/tex]
This gives
[tex]47.4747 - 0.4747 = 47[/tex]
So:
[tex]99x = 47[/tex]
Solve for x
[tex]x = \frac{47}{99}[/tex]
This implies that:
[tex]\bar 0.47 = \frac{47}{99}[/tex]
[tex]0.6 + \bar 0.47[/tex] becomes
[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]
Express 0.6 as fraction
[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]
Take LCM and solve
[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]
[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]
Simplify
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches
Answer:
78
Step-by-step explanation:
can anybody help me please
Answer:
Is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
how much would be in your savings account in 11 years after depositing $150 today if the bank pays 7% a year
Someone please help me, this test determines if I pass or not.
Answer:
Your answer is C :)
simplify 1/a+b + 1/a-b + 2b/a^2-b^2
Answer:
−a^2 b^2 + 2a + 2b
_________________
a^2
Step-by-step explanation:
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
If there were 30 questions on a test, and John got 24 of the correct, what is the percentage of the number of questions John got correct?
Answer: he got 80/100 or 80% right
Step-by-step explanation:
24/30 = 12/15
12/15 as a percent:
100/15 = 6.66666666666667
12 x 6.66666666667
15 x 6.66666666667
= 80/100 or 80%
Evaluate each limit given that limit x->2 f(x)=9.
limit x->2 1/3[f(x)]^2= 27✔️
limit x->2 3f(x)+5= 32✔️
limit x->2 [f(x)]3/2= 27✔️
Answer:
27
32
27
Step-by-step explanation:
1) limit x->2 1/3[f(x)]^2= 27
2) limit x->2 3f(x)+5= 32
3) limit x->2 [f(x)]3/2= 27/2
What is limit?"A limit is the value that a function approaches as the input approaches some value."
Limit properties:If limit f(x) = m and constant 'a',
limit a (f(x)) = a × m
limit (f(x))^n = (m)^n
limit (a) = a
limit (f(x) + a) = m + a
Given: limit x->2 f(x)=9.
We need to evaluate each limit.
1) limit x->2 1/3[f(x)]^2
⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]
= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]
= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]
= [tex]\frac{1}{3} \times (9)^2[/tex]
= [tex]\frac{81}{3}[/tex]
= 27
2) limit x->2 3f(x)+5
⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]
= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]
= [tex]3\lim_{x \to 2} f(x) + 5[/tex]
= [tex](3 \times 9)+5[/tex]
=[tex]\bold{32}[/tex]
3) limit x->2 [f(x)]3/2
⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]
= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]
= [tex]\frac{3}{2} \times 9[/tex]
= 27/2
Learn more about limit here:
https://brainly.com/question/1619243
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3x-8= 4
What is the first and second steps in solving this equation?
a. Multiply each side by 3
b. Divide each side by 3
c.Add 8 to each side
d. Subtract 8 from each side
arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12
Answer:
11/12, 5/7, 1,8, 1/4, 1/2
Step-by-step explanation:
calculate the size of angle x
Answer:
16
Step-by-step explanation:
If P=(5,4), Find the image of P under the following rotation.
180° counterclockwise about the origin.
([?], [?])
Answer:
(–5 , –4)
Step-by-step explanation:
when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +
write an addition equation for a triangle with side lengths of 3, √2, √7
Answer:
3² = (√2)² + (√7)²
Step-by-step explanation:
The given sides to us are 3 , √2 and √7. We can check if these are the sides of right angled triangle.
For that , we can use Pythagoras Theorem , which is h² = b² + p² . Here 3 is the longest side so , it can be hypotenuse.=> h² = p² + b²
=> 3² = (√2)² + (√7)²
=> 9 = 2 + 7
=> 9 = 9
Hence the ∆ is right angled . Hence the addition equation is 3² = (√2)² + (√7)² .Select the correct answer.
If , what is the value of ?
A.
24
B.
50
C.
84
D.
75
heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj
Help!!!!!!!!!!!!!!!!!!!!!!!
Write -9 9/16 as a decimal
Answer:
-8.4375
Step-by-step explanation:
convert -9 9/16 to a improper fraction.
-9 x 16 = -144
-144+9= -135
-135 divided by 16 = -8.4375
Somebody know the answer?
Help pls I rlly need help it’s important
Answer:
2. 112
3. 78
5. 672
7. 149.8
9. 17.5
10. 19360
11. 64 000
13. 29
14. 350240
15. 386
16. 224
17. 0.9071847
Step-by-step explanation:
please please help me!!!!!!!
Answer: there is your answer and how
Step-by-step explanation:
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
Answer:
y=2
Step-by-step explanation: