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Verdich [7]
3 years ago
11

Complete parts ​(a) through ​(c) below.

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

a)t_{crit}= 1.34

b) t_{crit}=-2.539

c) t_{crit}=\pm 2.228

Step-by-step explanation:

Part a

The significance level given is \alpha=0.1 and the degrees of freedom are given by:

df = n-1= 15

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

t_{crit}= 1.34

Part b

The significance level given is \alpha=0.01 and the degrees of freedom are given by:

df = n-1= 20-1=19

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

t_{crit}=-2.539

Part c

The significance level given is \alpha=0.05 and \alpha/2 =0.025 and the degrees of freedom are given by:

df = n-1= 11-1=10

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

t_{crit}=\pm 2.228

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In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.

Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.

From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.

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Learn more about parallel and perpendicular here :

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