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lbvjy [14]
3 years ago
14

A statistician wants to determine if there is a difference in the fuel efficiency of cars between model years. To do this, he se

lects random makes and models of cars and compares the fuel efficiency in miles per gallon of the current model year and the previous model year. Suppose that data were collected for a random sample of 9 cars, where each difference is calculated by subtracting the fuel efficiency in miles per gallon of the previous model year from the fuel efficiency in miles per gallon of the current model year. Assume that the fuel efficiencies are normally distributed. The statistician uses the alternative hypothesis Ha:μd≠0. Using a test statistic of t≈6.163, which has 8 degrees of freedom, determine the range that contains the p-value.

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

P-value = 0.00028

Step-by-step explanation:

The statician performs an hypothesis test for the mean difference.

As the alternative hypothesis is<em> Ha: μd ≠ 0</em>, we know that it is a two-tailed test.

The test statistic is t=6.163.

For a two-tailed test and 8 degrees of freedom, this corresponds to a P-value of:

\text{P-value}=2\cdot P(t>6.163)=0.00028

This P-value is smaller enough to reject the null hypothesis at almost any significance level.

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0-2 .1 +6

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4 0
4 years ago
A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750. a. Calculate the mean
weqwewe [10]

Answer:

a) E(X) = \frac{a+b}{2}=\frac{670+750}{2}= 710

The variance is given by:

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And the deviation is just the square root of the variance and we got:

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E(X) = \frac{a+b}{2}=\frac{670+750}{2}= 710

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Var(X) =\frac{(b-a)^2}{12}= \frac{(750-670)^2}{12}= 5333.3333

And the deviation is just the square root of the variance and we got:

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For this case we want to find this probability:

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F(X) = \frac{x-a}{b-a} , a \leq x \leq b

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5 0
3 years ago
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Flauer [41]
I am assuming that your function is
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the domain is the numbers you can use for x without getting wierd results
wierd results happen when you divide by 0 or take the square root of a negative number

the arean't any division signs so no division by 0
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so the part under the square root must be greater than or equal to 0
find where it is equal to 0
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minus 6
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when x is smaller than -6, we get undefined because we get square root of a negative

so the domain (numbers you can use for x) is D={x|x≥-6} or basically x≥-6
3 0
4 years ago
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