1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marizza181 [45]
2 years ago
6

The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer se

rvice 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.
Mathematics
1 answer:
tankabanditka [31]2 years ago
7 0

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

<u><em>Difference Scores Calculations</em></u>

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

<u><em>T-value Calculation</em></u>

<u><em>Pooled Variance= Sp²</em></u>

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.

You might be interested in
Which equation has a constant of proportionality equal to 1? A. y=10/11x B. y= 7/8x C. y= 3/15x D. y=x
shtirl [24]

An equation is said to have a constant of proportionality if 'x' is a multiple of 'y' or 'y' is a multiple of 'x'.

Now, we have to determine an equation with constant of proportionality as '1'.

1. y = \frac{10}{11}x

This equation has constant of proportionality as '\frac{10}{11}'.

2. y = \frac{7}{8}x

This equation has constant of proportionality as '\frac{7}{8}'.

3. y = \frac{3}{15}x

This equation has constant of proportionality as '\frac{3}{15}'.

4. y = x

This equation has constant of proportionality as '1'.

Option D is the correct  answer.

8 0
3 years ago
Apparently Nobody is able to answer this question. You can search it up but I've tried that already, still no answer.
damaskus [11]

Answer:

if it is odd then multiply it by 3 and add 1, and if it is even, divide it by 2. Then repeat this process as long as you can.

Step-by-step explanation:

hope dis helped:)

8 0
2 years ago
The ___________ formula measures the length of a line segment or the distance between two points.
Morgarella [4.7K]
The distance formula measures the length of a line segment or the distance between two points.

The hypotenuse is one of the two sides that forms the right angle of a triangle.

The altitude of a triangle is a line segment that extends from the vertex and is perpendicular to the side opposite the vertex.
8 0
3 years ago
Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se
elena-s [515]

Answer:

the answer is b i click it and it was right

y=2(3)^x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Monique runs 1/4 mile five times a week. How many miles does she run each week?
Hoochie [10]

Answer:

1 and 1/4 of a mile each week

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Help with 12 please
    9·1 answer
  • I need help with my math
    10·1 answer
  • X-3y=16 4x-y=19 <br> Substitution / Will mark brainliest ASAP
    11·1 answer
  • you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day wh
    5·1 answer
  • The graph of a line passes through the points (0, 6) and (6, 0).
    8·1 answer
  • Answer choices:<br><br> –7<br> –12<br> 0
    13·1 answer
  • Coach Emanuel is trying to gain muscle. He starts 2017 weighing 226 pounds. If he plans to lift weights and eat enough, then how
    9·1 answer
  • Tao uses elimination to solve the following system of linear equations.
    9·2 answers
  • Is 24a+16b+8 equivalent to 4(6a+2) +8b+ 2
    8·1 answer
  • Please help me, math
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!