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Fantom [35]
3 years ago
10

Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grad

e the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Mathematics
1 answer:
AlekseyPX3 years ago
4 0

Answer:

Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Step-by-step explanation:

1)Formulate the hypothesis that first variance is equal or greater than the second variance

H0: σ₁²≥σ₂²  against the claim  that the first instructor's variance is smaller

 Ha: σ₁²< σ₂²

2) Test Statistic F= s₂²/s₁²

F= 84.8/ 58.9=  1.4397

3)Degrees of Freedom = n1-1= 10-1= 9  and n2 = 10-1= 9

4)Critical value   at 10 % significance level= F(9,9)= 2.4403

5)Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

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2㏒(x-2) = 4<br><br> Find x. <br> {ignore this bit, it's filler}
kkurt [141]

Answer:

x=102

Step-by-step explanation:

\mathrm{Divide\:both\:sides\:by\:}2

\frac{2\log _{10}\left(x-2\right)}{2}=\frac{4}{2}

\log _{10}\left(x-2\right)=2

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7 0
3 years ago
Which of the following is equivalent to 7.4 kilograms? 740,000 mg 740 g 74 hg 74,000 cg
dlinn [17]
<span>Which of the following is 7.4 kilograms?
=> 740 000 mg
=> 740 g
=> 74 hg
=> 74 000 cg
Let’s base on the Unit of measurement or conversion.
=> 740 000 mg
In every 1 kilogram is equals to 1 000 000
=> 7.4 kg * 1 000 000 mg = 7 400 000 mg
It’s not the correct Answer
=> 740 g
In every 1 kg is equals to 1 000 grams
=> 7.4 * 1000 = 7 400 grams
Thus, it’s not the correct answer
=> 74 hg
In every 1kg is equals to 10 hectograms
=> 7.4 kg x 10 = 74hg
Thus, this is the correct answer
=> 74 000 cg
In every 1kg is equals to 100 000
=> 7.4 * 100 000 = 740 000
not the correct answer.

</span>



8 0
3 years ago
Read 2 more answers
Two fair dice are rolled.
Natalka [10]

Answer:

1/12

Step-by-step explanation:

There are two dices being rolled. A dice has six faces numbered from one to six. A fair dice means that the probability of each number to appear is equal. Thus the probability of any number showing up is:

P(a number appears on the dice) = how much times the number has been displayed on the dice/number of faces of the dice.

Since all numbers appear once, and there are six sides of a dice. therefore:

P(a number appears on the dice) = 1/6. Thus, P(6 appears on a dice) = 1/6.

As far as the odd numbers are concerned, there are three even numbers and three odd numbers on the dice. So P(odd number appears on the dice) = 3/6 = 1/2.

Assuming that the probabilities of both the dices are independent, we can safely multiply both the probabilities. Thus:

P(first dice lands on a 6 and second dice lands on an odd number) = 1/6 * 1/2 = 1/12.

Thus, the final probability is 1/12!!!

3 0
3 years ago
ILL GIVE BRAINLIEST A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equa
IceJOKER [234]
The answer is C
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7 0
3 years ago
Read 2 more answers
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marusya05 [52]

The diagonal of the rectangular solid is d=2 \sqrt{21}

Explanation:

The length of the rectangular solid is l=8

The width of the rectangular solid is w=4

The height of the rectangular solid is h=2

We need to determine the diagonal of the rectangular solid.

The diagonal of the rectangular solid can be determined using the formula,

d=\sqrt{l^{2}+w^{2}+h^{2}}

Substituting the values l=8, w=4 and h=2 , we get,

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Adding the terms, we have,

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Simplifying, we have,

d=2 \sqrt{21}

Thus, the diagonal of the rectangular solid is d=2 \sqrt{21}

8 0
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