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iris [78.8K]
4 years ago
14

A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample varianc

e 2.4. Test the following hypotheses at the .05 level of significance. H0: Population 1 Variance < Population 2 Variance Ha: Population 1 Variance > Population 2 Variance a. What is the p-value
Mathematics
1 answer:
Nady [450]4 years ago
3 0

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

\alpha = 0.05

H_{0} = Population Variance 1 ≤  Population Variance 2

H_{a} = Population Variance 1 >  Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is F_{0.05} = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

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A box of colored crayons contains 11 distinct colors. In how many ways can 2 colors be chosen, assuming that the order of the co
Oduvanchick [21]

Answer:

55

Step-by-step explanation:

The first crayon is chosen out of 11,so there are 11 choices

11

The second crayon is chosen out of 10 crayons left so there are 10 choices

10

11*10 = 110

But we do not care about the order, so we divide by 2 since there are 2 places

110/2 =55

5 0
3 years ago
Read 2 more answers
Please help math thanks.
Mariulka [41]

700.000 = 7 . 10 . 10 . 10 . 10 . 10


We know that equal bases sum the exponents, so,


7 . 10^(1 + 1 + 1 + 1 + 1)

7 . 10^5 = 700.000


But we can also say:


(7 . 10) . 10^4

or

(70 . 10) . 10³

or

(700 . 10) . 10²

or

(7000 . 10) . 10


As we can see, the alternative C shows (7 . 10) . 10^4 which can be a correct ans, so, alternative C.

8 0
3 years ago
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Find the remainder when 2x^4-6x^3+2x^2-x+2 is divided by x+2
dybincka [34]
P(x)=2x^4-6x^3+2x^2-x+2 \ \ \ and\ \ \ x_0=-2\\\\the\ remainder:\\\\R(x)= 2(-2)^4-6(-2)^3+2(-2)^2-(-2)+2=\\\\=2\cdot16-6\cdot(-8)+2\cdot4+2+2=32+48+8+4=92
7 0
4 years ago
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Can someone help me on these three
vivado [14]

Answer:

20) 2.084 meters

21) $75

22) 0.123 meters

23) 4 foot pieces

Step-by-step explanation:

20) divide the length by 4:

8.336 ÷ 4 = 2.084 meters

21) divide total cost by the amount of tickets:

39300 ÷ 524 = $75

22) subtract the smaller number from the greater number:

0.884 - 0.761 = 0.123 meters

23) the greatest common factor of 8 and 12 is 4, so he should cut each rope into 4 foot long pieces

8 0
3 years ago
How to factor this equation.<br><br>n^2-64
stellarik [79]
a^2 -b^2 = (a+b)(a-b)&#10;&#10;
i would suggest memorizing this

hence
n^2 - 64 = n^2 -8^2 = (n-8)(n+8)
3 0
3 years ago
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