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melamori03 [73]
3 years ago
6

Y = x2 + 11x + 24 Determine if the graph depicts the rain gauge

Mathematics
1 answer:
mario62 [17]3 years ago
6 0
The graph of this equation is shown in the figure below. We know that this equation is given as follows:

y=x^{2}+11x+24


So, it is obvious that this is not a representation of a rain gauge. This graph represents a parable, but the rain gauge seems to be more like a <span>truncated cone</span>

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Answer:

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And the p value for this case is:

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The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

Step-by-step explanation:

Information provided

\bar X=7.4 represent the sample mean

s=0.7 represent the sample standard deviation

n=7 sample size  

\mu_o 7 represent the value to verify

t would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the average amount of coffee per cup is different from 7 ounces, the system of hypothesis would be:  

Null hypothesis:\mu = 7  

Alternative hypothesis:\mu \neq 7  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512    

The degrees of freedom are

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And the p value for this case is:

p_v =2*P(t_{(6)}>1.512)=0.181  

The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

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Answer:

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