What is the sum of -4/7 and 6/7<br><br> A) -2/7<br><br> B) 2/7<br><br> C) -10/7<br><br> D) 10/7

Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

3 years ago

Ratio equivalent to 2:1

Nataliya [291]

Answer:

4:2

8:4

12:6

16:8

6 0

3 years ago

A line passes through the point (-7, 5) and has a sloe of 1/2. Which is another point that the line passes through?

Mekhanik [1.2K]

The point through which the same line is passing will be (9,13) so option (C) will be correct.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The equation of any line with slope m can be given as

y = mx + c

Given,

slope m = 1/2

Point of passing (-7, 5)

So,

5 = -7/2 + c ⇒ c = 17/2

So the equation will be,

y = x/2 + 17/2

2y = x + 17

Now checking all points (9,13) is satisfying.

2(13) = 9 + 17

26 = 26

Hence point (9,13) is passing through the line.

For more about line segment

brainly.com/question/25727583

#SPJ1

7 0

2 years ago

Find the slope of line a and line b from two points

Degger [83]

Answer: Line A has a slope of 3/4 and Line B has a slope of 5/6

Step-by-step explanation: Look at the attachment

5 0

3 years ago

Read 2 more answers

Multiple choice easy question. Please answer.

Anton [14]

Answer:

I belive it should be # 3 i might be wrong thow.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the sum of -4/7 and 6/7 A) -2/7 B) 2/7 C) -10/7 D) 10/7