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Evgen [1.6K]
2 years ago
7

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of th

e test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that the mean difference d bar = 3.125, sd = 2.911, and n = 8, and that you wish to test the following hypothesis at the 10% level of significance: H0 : µd = 0 against H1 : µd > 0.
What decision rule would you use? Group of answer choices

a).Reflect H0 if the test statistic is greater than -1.895 and less than 1.896.

b). Reject H0 if test statistic is greater than -1.895.

c). Reject H0 if test statistic is greater than 1.895.

d). Reject H0 if test statistic is less than 1.895
Mathematics
1 answer:
Olegator [25]2 years ago
4 0

Answer:

The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:

c). Reject H0 if test statistic is greater than 1.895.

Step-by-step explanation:

The system of hypothesis for this case are:

Null hypothesis: \mu_d = 0

Alternative hypothesis: \mu_d >0

The statistic for this case is given by:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.125 -0}{\frac{2.911}{\sqrt{8}}}=3.04

The degrees of freedom are given by:

df=n-1=8-1=7

The p value for this case can be calculated from this probability:

p_v =P(t_{(7)}>3.4) =0.0057

The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:

c). Reject H0 if test statistic is greater than 1.895.

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Not really, is this a rhetorical question? lol
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3 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis
Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

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The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

  1. x² + (y – 3)² = 36
  2. x² + (y – 5)² = 6
  3. (x – 4)² + y² = 36
  4. (x + 6)² + y² = 144
  5. x² + (y + 8)² = 36."
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1 year ago
Micheal used addition to find 9x100 and he said the product was 90. What did he do wrong?
Vlada [557]

Answer:

He did 9 times 10 instead of 9 times 100.

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coldgirl [10]

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6 0
3 years ago
Read 2 more answers
$350 in the ratio 4:3
kherson [118]

Answer:

$200 : $150

Step-by-step explanation:

Sum the parts of the ratio, 4 + 3 = 7 parts

Divide the total by 7 to find the value of one part of the ratio.

$350 ÷ 7 = $50 ← value of 1 part of the ratio

4 parts = 4 × $50 = $200

3 parts = 3 × $50 = $150

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2 years ago
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