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In-s [12.5K]
3 years ago
13

Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic

al notation, and clearly identify the claim and type of testing.
Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

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4 years ago
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alina1380 [7]

Using the t-distribution, it is found that the correct option is:

0.005 < P-value < 0.01, reject the null hypothesis.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean of a given population is equal to 85, that is:

H_0: \mu = 85

We have a left-tailed test, hence, at the alternative hypothesis, it is tested if the mean of the population is less than 85, that is:

H_1: \mu < 85

<h3>What is the decision?</h3>

The test statistic is of t = -3.018.

Using a t-distribution calculator, with test statistic t = -3.018, 13 - 1 = 12 df and a significance level of 0.01, it is found that the p-value for a left-tailed test is of 0.0051.

The p-value is <u>less than 0.01</u>, hence the null hypothesis is rejected and the correct option is:

0.005 < P-value < 0.01, reject the null hypothesis.

More can be learned about the t-distribution at brainly.com/question/16313918

5 0
2 years ago
What is the area of a semicircle with diameter 8 cm?
garik1379 [7]

Answer:

We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation. A = 3.14 * 8^2/2.

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3 years ago
The area of a rectangle is 48. If the width is 8 less than its
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OK.... here we go....

The width is 8 less than the length, so that means: w = L - 8.

So, since the area of a rectangle is: A = L x W ...

Therefore, 48 = L(L - 8)...

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continuing from there .... you get width = 4 and length = 12

48 = 4 x 12   (and notice that the width is 8 less than the length)



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Find the length of each arc. Round your answer to the nearest tenth
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