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lord [1]
2 years ago
13

Eddie needs to paint a fence which has 10,000 square feet of surface. One gallon of paint covers 600 square feet.

Mathematics
1 answer:
Sever21 [200]2 years ago
3 0

Answer:

17

Step-by-step explanation:

10000/600=16.67

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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

So, Null Hypothesis, H_0 : p \leq 50%     {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here <u>One-sample z proportion statistics;</u>

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

            n = sample of subjects = 50

So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

                               =  2.73

The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0
3 years ago
How many consecutive zeros are there at the end of the expansion of 1,000 factorial?
Masja [62]
249 Zeros in the expansion of 1,000
3 0
3 years ago
Read 2 more answers
Find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)
frutty [35]

midpoint = ( \frac{13}{2}, - 6 )

using the midpoint formula

midpoint = [ \frac{1}{2}(4 + 9), \frac{1}{2}(- 10 - 2 )] = ( \frac{13}{2}, - 6)


5 0
3 years ago
How to work out 215 in a fraction
ohaa [14]
\frac{215}{215}
5 0
3 years ago
The number of students who attended Albany Medical College last year was 1000. This year, attendance has increased to 1350 stude
NeTakaya
First you have to subtract 1350-1000 to get 350. Then you have to make 350/1000 into a percent. First you have to turn it into a decimal. In the fraction 350/1000 can be reduced to 35/100. In decimal form it would be 0.35. In pecentage form it would be 35%. The percentage difference of the student population would be 35%.
4 0
3 years ago
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