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AveGali [126]
3 years ago
10

Draw a box and whisker plot of the following data 40,37,29,36,41,39,33

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

Step-by-step explanation:

Its not the best drawing but here

median 37

minimum 29

maximum 41

first quartile 33

third quartile 40

IQR 7

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The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b
Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

b) p_v =P(z>2.32)=0.0102  

c) So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

When we conduct a proportion test we need to use the z statisitc, 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  

For this case the statistic is given by z_{calc}= 2.32

Part b: 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 right tailed test the p value would be:  

p_v =P(z>2.32)=0.0102  

Part c

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

6 0
3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
spayn [35]

Answer:X=5/6 Y=8/5

Step-by-step explanation:

-6x +5y=3

+6x

5y=6x+3 (divide each number by 5)

Y=6/5x + 3/5 (Plug that into your x equation)

12x+15 (6/5x + 3/5) =34

(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )

15•6=90 divided by 5=18x

15•3= 45 divided by 5=9

(Add like variables)

12x+18x=30x

30x+9=34

(Subtract 9 from itself do the same to 34)

9-9= 0

34-9=25

Divide 30 by itself to get x by itself then divide 25 by 30

25 divided by 30= 5/6

X=5/6 (plug that into the y equation)

Y=6/5•5/6+3/5

Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators

6/5•5/6=30/30=1

Y=1+3/5

1/1 + 3/5

Here you need to have like denominators because it is addition so just use 5

5•1=5

5/5+3/5=8/5

Y=8/5

5 0
2 years ago
Nadya solves the equation 4x-4=20. Her work is shown below.
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Step 2 she should add 4 not subtract
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3 years ago
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STatiana [176]
They will be 72 miles apart. :p
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A culture started with 3,000 bacteria. After 5 hours, it grew to 3,900 bacteria. Predict how many bacteria will be present after
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the correct answer is 4810 bacteria grew after 9 hours

8 0
3 years ago
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