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vladimir1956 [14]
2 years ago
9

Find the median 12cm,16cm,18cm,21cm,28cm,30cm

Mathematics
1 answer:
sladkih [1.3K]2 years ago
5 0

Answer:

19.5 cm

Step-by-step explanation:

The median of a data set is the middle number. It can be easily found by crossing out the first value then the ending value, and you keep repeating that pattern. However, in this case, when we cross them out, we're left with the numbers 18 and 21. When we come across a problem like this, we find the mean of 18 and 21 by adding them up and then dividing them by 2. 18 + 21 is 39, and 39/2 is 19.5.

Therefore, the answer is 19.5 cm.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1
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z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

\hat p=\frac{155}{200}=0.775 estimated proportion of cell phone owners used text messaging

p_o=0.73 is the value to verify

\alpha=0.1 represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis:p=0.73  

Alternative hypothesis:p \neq 0.73  

The statistic to check this hypothesis is given by:

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

Replacing the data given we got:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

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3 years ago
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