Answer:
statistical hypothesis.
Step-by-step explanation:
A statistical hypothesis has the central objective of assisting in a decision-making process about one or more populations in relation to the sample data, allowing the observance of whether the information found in the samples will support the statistical hypothesis.
It is necessary to know concepts of mathematical probability to perform the tests, the most used models for this purpose are the fisher method, by Neyman-Pearson and Bayes.
The variables used in a statistical hypothesis are: the Null Hypothesis, the one that is assumed to be the true one, the Alternative Hypothesis, the one that is used when there is no statistic to analyze the hypothesis given as true, the Type I Error, related to the probability of rejection of the null hypothesis, and the Type II Error, which is the probability of rejection of the alternative hypothesis if it is true.
Answer: 14 gallons
Step-by-step explanation:
Let's call the total gallons Abdul's tank can hold <em>x</em>.
Then, based on the information given in the problem, you can write the following expression:
Therefore, when you solve for x, you obtain the following result:
Answer:
The 95% confidence interval for the measurements is [48.106, 53.494].
Step-by-step explanation:
The average M of this sample is
The standard deviation s of this sample is
![s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%2852-50.8%29%5E2%2B%2848-50.8%29%5E2%2B%2849-50.8%29%5E2%2B%2852-50.8%29%5E2%2B%2853-50.8%29%5E2%5D%7D)
![s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%281.44%29%2B%287.84%29%2B%283.24%29%2B%281.44%29%2B%284.84%29%5D%7D%3D%5Csqrt%7B%5Cdfrac%7B18.8%7D%7B4%7D%7D%3D%5Csqrt%7B4.7%7D%5C%5C%5C%5C%5C%5Cs%3D2.168)
The degrees of freedom are
Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.
The margin of error of the CI is:
Then, the lower and upper bounds of the CI are:
The 95% confidence interval for the measurements is [48.106, 53.494].
Answer:
bleventeen
Step-by-step explanation:
there is 9 so you go on and on
Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
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<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
