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MAVERICK [17]
2 years ago
15

Random pages were chosen from a variety of children’s books and the number of words on each page was recorded. Find the variance

of the sample pages.
10 15 8 16 14 12 9 12 14 10


A. 7.3


B. 2.4


C. 2.7


D. 1.5


PLEASE just give a straight up answer. Thank you!
Mathematics
2 answers:
Masteriza [31]2 years ago
8 0

Answer:

the answer is 2.7

Step-by-step explanation:

Alinara [238K]2 years ago
5 0

Answer:

The variance of the given sample is 7.3

Hence the option A. 7.3 is correct

Step-by-step explanation:

The formula of Variance is:

Var=\frac{\sum (x- \bar{x})^2}{n-1}

x                                  (x-\bar{x})^2

10                                           4

15                                           9

8                                           16

16                                          16

14                                           4

12                                           0

9                                             9

12                                            0

14                                            4

10                                            4

                                    \sum ( x - \bar{x}) ^2 = 66      

Therefore, the variance is:

Variance = \frac{66}{10-1} =7.3

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A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25
Reil [10]

Answer:

Step-by-step explanation:

A = 25% of 16 ==\frac{25}{100}*8=\frac{1}{4}*8=2

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

=\frac{25}{100}*10.5=\frac{10.5}{4}

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0
2 years ago
Read 2 more answers
Jerry's Fish Shack claims that 16% of its employees are late to work once a week. The manager surveyed 25 employees and found th
larisa86 [58]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:  

Null hypothesis:p=0.16  

Alternative hypothesis:p \neq 0.16  

z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546  

p_v =2*P(z>0.546)=0.585  

Step-by-step explanation:

Data given and notation

n=25 represent the random sample taken

\hat p=0.2 estimated proportion  

p_o=0.16 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:  

Null hypothesis:p=0.16  

Alternative hypothesis:p \neq 0.16  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.20 -0.16}{\sqrt{\frac{0.16(1-0.16)}{25}}}=0.546  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>0.546)=0.585  

4 0
2 years ago
Read the passage.
alexandr1967 [171]

Answer:

D sentence 5

Step-by-step explanation:

6 0
2 years ago
You put $350 per month in an investment plan that pays an APR of 3.5% compounded monthly. How much will you have after
melamori03 [73]

Answer: B.

Step-by-step explanation: TVM Solver Equation:

N = 216 (12 x 18 years)

I% = 3.5

PV = 0

PMT = - $350

FV = 105,106.7593

P / Y = 12 (months)

C / Y = 12

PMT: END

8 0
2 years ago
the local volleyball team hosts a concession stand to raise money. They can spend $120 to purchase popcorn, candy, and drinks. t
Art [367]
To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps

7 0
2 years ago
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