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3 years ago

Help with this math homework

Mathematics

2 answers:

iragen [17]3 years ago

8 0

Answer:

5. 2

6. 51

7. X

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I am Lyosha [343]3 years ago

7 0

Answer

For 5, the answer is 3

Step-by-step explanation:

Fibonacci Sequence: Start at 1

1+0=1

1+1=2

1+2=3

3+2=5

etc.

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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

2 years ago

Solve 6 < x + 5 < 11

Vanyuwa [196]

Answer:

I think it should be 1 < x ≤ 6

Step-by-step explanation:

7 0

3 years ago

Where would 3.8 go on the number line?

nata0808 [166]

Answer:

Between 3 and 4

Step-by-step explanation:

3 0

3 years ago

how is the sentence “12 less than x is four” written as an equation? 12 – 4 – x = 0 x = 12 – 4 x – 4 = 12 x - 12 = 4

nordsb [41]

This is saying that four is the result of a number "x" minus 12....therefore the equation is x-12=4

7 0

2 years ago

These data show the ring size for a sample of 8 men 12 10 11.5,11.5, 12, 9, 9 , 11 what is the best approximation of the standar

nikitadnepr [17]

Given the data above N=8
mean is (12+10+11.5+11.5+12+9+9+11)/8
thus, mean = 10.75
Sample standard, s= √(∑(x-m)²)/(n-1)
= 1.172
I therefore, believe that the best approximation of standard deviation is 1.17

5 0

3 years ago

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