What is the sign of f on the interval -2
1 answer:
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Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of
is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Part A
A good scale for y to use would be 100, since it fits in all of the f(x)'s and the next value (243) is obviously not going to fit.
As for x, you can use 4 or 5. If you do 5, you're not going to get to it though, because f(x) will be 243.
Part B
When our input increases by 1, our output multiplies by 3.
Multiplying by 3
times can be represented as 
.
We start at 1, so we'd want to have
. However, 1 times anything doesn't change its value, so we can leave it out because it is redundant.
As for making the graph, just label your y axis 0 to 100, and your x axis 0 to 5.
Then mark out (0, 1), (1, 3), (2, 9), (3, 27), and (4, 81).
Draw a curve that includes all of these. It should hit y=100 a little after x=4, since x=5 is all the way at y=243.
A good scale for y to use would be 100, since it fits in all of the f(x)'s and the next value (243) is obviously not going to fit.
As for x, you can use 4 or 5. If you do 5, you're not going to get to it though, because f(x) will be 243.
Part B
When our input increases by 1, our output multiplies by 3.
Multiplying by 3
We start at 1, so we'd want to have
As for making the graph, just label your y axis 0 to 100, and your x axis 0 to 5.
Then mark out (0, 1), (1, 3), (2, 9), (3, 27), and (4, 81).
Draw a curve that includes all of these. It should hit y=100 a little after x=4, since x=5 is all the way at y=243.
So Matt is canoeing on a Lake.
It took him 2 hours to get to the lake 4 kilometers away.
On the way back it takes him 90 minutes.
Now, lets say that he is canoeing at 'u' miles per hour and lets assume that the speed of the wind is 'v' miles per hour.
While he sails in opposite to the wind net speed is given by .
Using the relation between distance, time, and speed we get:
kilometers per hour so we get,
..............(equation 1)
Now when he sails along the wind, the net speed is given by
Now, again use the same relation as stated above we get:
(here we have converted 90 minutes into hours
)
..............(equation 2)
Solving equation 1 and 2 we get:
, putting the value of 'u' in equation 1 we get
.
So the speed at which Matt is canoeing is 'u' that is 2.3 kilometers per hour and the wind is flowing at 0.3 kilometers per hour.
So Matt can canoe at 2.3 kilometers per hour without wind. And wind is slowing him down by 0.3 kilometer per hour.