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Verizon [17]
2 years ago
14

survey on televisions requiring repairs within four years was conducted. Nineteen out of 200 televisions from company A and 25 o

ut of 200 televisions from company B needed repairs. Do these data show that televisions from company A are more reliable than televisions from company B?
Mathematics
1 answer:
Fudgin [204]2 years ago
4 0

Answer:

z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959    

p_v =P(Z    

Comparing the p value with the significance level assumed\alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.

Step-by-step explanation:

Data given and notation    

X_{1}=19 represent the number of tvs who need a repair for A

X_{2}=25 represent the number of tvs who need a repair for B

n_{1}=200 sample 1 selected  

n_{2}=200 sample 2 selected  

p_{1}=\frac{19}{200}=0.095 represent the proportion estimated for the sample A  

p_{2}=\frac{25}{200}=0.125 represent the proportion estimated for the sample B

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if company A are more reliable than televisions from company B (that means p1<p2) , the system of hypothesis would be:    

Null hypothesis:p_{1} \geq p_{2}    

Alternative hypothesis:p_{1} < p_{2}    

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{19+25}{200+200}=0.11  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959    

Statistical decision  

Since is a left sided test the p value would be:    

p_v =P(Z    

Comparing the p value with the significance level assumed\alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.    

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agasfer [191]

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

8 0
2 years ago
An angle measures 79.6° less than the measure of its complementary angle. What is the measure of each angle?
wel

Answer:

y = 259.6/2 = 129.8 degrees. so x = 129.8 - 79.6 = 50.2 degrees.

Step-by-step explanation:

I got this answer from somewhere else. but it is correct. i hope this helped.

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3 years ago
Write an equation in slope intercept form of the line that passes through the given point and is paraell to the graph of the equ
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1.) x = -3...this is a vertical line with an undefined slope. A parallel line to a vertical line is also a vertical line. A vertical line is represented by x = a number....that number being the x coordinate of ur point(4,2).
so ur parallel line is : x = 4 <==
=================
2.) y = -3/2x + 6....slope here is -3/2. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/2
(2,-1)...x = 2 and y = -1
now we sub into the formula and find b, the y int
-1 = -3/2(2) + b
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so ur parallel line is : y = -3/2x + 2 <==
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y = -x - 2....the slope here is -1. A parallel line will have the same slope

y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
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8 0
3 years ago
emily read 24 fiction books and 2 nonfiction books. what is the ratio of the number of fiction books she read to the total numbe
Elis [28]

Answer:

24:26 or 12:13

Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html

7 0
3 years ago
A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

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Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
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