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.
Answer:
f(x) = x
Step-by-step explanation:
note : slope is positive 1, so the x term must be positive
also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .
if we substitute this into the general equation for a line
y = mx + b, where m = +1 and b = 0,
we get y = x
or f(x) = x (in function form)
Answer:
a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.
b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.
c) The probability of sampling at random a fish that has a size between the two values is 0.383.
d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.
e) The probability that the average calculated will be less than the value is 0.3707.
Step-by-step explanation:
For the given data set mean 
Standard deviation 
Variance 
Here we get is
a)
b)
c)
d)
25th percentile:-
![= 25*[(n+1)/100]th term \\\\= 5.69](https://tex.z-dn.net/?f=%3D%2025%2A%5B%28n%2B1%29%2F100%5Dth%20term%20%5C%5C%5C%5C%3D%205.69)
75the percentile:-
![= 75*[(n+1)/100]th term\\\\ = 5.87](https://tex.z-dn.net/?f=%3D%2075%2A%5B%28n%2B1%29%2F100%5Dth%20term%5C%5C%5C%5C%20%3D%205.87)
e)
