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iris [78.8K]
3 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]3 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 home security company plans to open a calling center to respond to customer calls and
Romashka-Z-Leto [24]

Answer:

x+y\geqslant 12

x+2y\leqslant 20

Step-by-step explanation:

<u>Inequalities </u>

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

x+y\geqslant 12

x+2y\leqslant 20

7 0
3 years ago
suppose you are asked to list, in order of preference,your five favorite albums you purchased in the past 12 months. if you boug
Paladinen [302]

<span>When the order doesn't matter, we would be using the Combination. While, when the order does matter it is called permutation.</span>

 

In this case, permutation would be use since there is a ranking for the albums.

We need to choose and arrange 5 albums out of 20. Hence, the number of possible ways will be:

<span>5/20 P = 20! Divided by (20 – 5)! = 20 x 19 x 18 x 17 x 16 = 1860480</span>

5 0
3 years ago
Solve the system of equation with substitution. y=4x+8 y=2x-9
Firlakuza [10]
I actually just learned this. I think this is the right answer.

8 0
3 years ago
Can someone please answer this for me
kifflom [539]

Answer:

x = 7.5

y = 75

Step-by-step explanation:

if one angle of an equilateral triangle is 60 degrees (180/3) then 4x + 2x + 2x = 8x = 60, so x = 7.5

for y, we'll have to take the right triangle. we know that 2x = 15, and MON = 60, so 180 - 60 - 15 = 105.

180 - 105 will give us y, which is 75

3 0
3 years ago
Need this quick!!!
Leya [2.2K]

A function assigns the values. The correct option is graph X.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.

Hence, the correct option is graph X.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
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