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.
The equation for slope is y=mx+b therefore your equation would be y=.5x+2 or y=1/2+2
both of these are correct just the matter of fact of what way your teacher wants you to use :)
Answer:
the last one
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
Answer:
F , D, A
Step-by-step explanation:
As we know vertical stretch of f(x) happens when we chane the value of the patameter a in this general form:
y = a. f(k(x-d))+ c
when |a| > 1 because When |a| > 1 (when a is greater than 1), the function is stretched vertically by a dilation factor of |a|.
So we choose, F , D, A
