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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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3 years ago
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Show all work please!!!!!!
sergij07 [2.7K]
The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
    (0+2)/2 = 1
     (2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
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Hope this helps!
7 0
3 years ago
Please help me. (20 points)
alexandr402 [8]

Hello from MrBillDoesMath!

Answer:

75

Discussion:


A plane triangle has 180 degrees. Using this in the diagram gives  

x + 81 + angle BAC = 180             (***)

(The diagram is a bit fuzzy but I think the above numbers are accurate)

The diagram also shows that  (156 + angle BAC )= 180 as a straight line has 180 degrees. So

angle BAC = 180 - 156 = 24

Substituting this in (***) above gives

x + 81 + 24 = 180 =>

x + 105 = 180   =>               (as 81 + 24 = 105)

x = 180  107 = 75


Check: Does

x + 81 + angle BAC = 180   ?

75 + 81 + 24 = 180.  Yes




Thank you,

MrB

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3 years ago
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The +100 at the end is why we don't have a proportional equation.

Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.

7 0
3 years ago
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