Blossom typed 1/8 of her report on Monday. She typed 1/4 of the report of Tuesday. How much of the report does she need to type
2 answers:
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Answer:
Width of river = 0.25 mile
As length of river is not given , but it is given that campsite is located 1 mile east upstream, So length of river = 1 mile
Speed of mine in river while going upstream = 3 miles per hour
Speed of current as going Upstream = 1 miles per hour
Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream
= 3 - 1
= 2 miles per hour
1. There are two ways to reach campsite
(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.
Or
(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula =
=
=√1.0625
=1.03078(approx)
⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]
Answer:
a) The critical value on this case would be
b) The critical value on this case would be
c) The critical values on this case would be
Step-by-step explanation:
Part a
The system of hypothesis on this case would be:
Null hypothesis:
Alternative hypothesis:
Where is the value that we want to test.
In order to find the critical value we need to find first the degrees of freedom, on this case that is given df=20. Since its an upper tailed test we need to find a value a such that:
And we can use excel in order to find this value with this function: "=T.INV(0.9,20)". The 0.9 is because we have 0.9 of the area on the left tail and 0.1 on the right.
The critical value on this case would be
Part b
The system of hypothesis on this case would be:
Null hypothesis:
Alternative hypothesis:
Where is the value that we want to test.
In order to find the critical value we need to find first the degrees of freedom, given by:
Since its an lower tailed test we need to find b value a such that:
And we can use excel in order to find this value with this function: "=T.INV(0.1,14)". The 0.1 is because we have 0.1 of the area accumulated on the left of the distribution.
The critical value on this case would be
Part c
The system of hypothesis on this case would be:
Null hypothesis:
Alternative hypothesis:
Where is the value that we want to test.
In order to find the critical value we need to find first the degrees of freedom, given by:
Since its a two tailed test we need to find c value a such that:
or
And we can use excel in order to find this value with this function: "=T.INV(0.025,11)". The 0.025 is because we have 0.025 of the area on each tail.
The critical values on this case would be