Z would be 3 because 10*3 is 30 and 30-2 would be 28 :)
Answer:
Given:
Standard deviation or variance of two population.
We need to write a method by which a formal hypothesis test can be conducted of claim made about two population standard deviations or variances.
In General Chi-Square test and F-test are used for variance or standard deviation.
Also Chi-Square test and F-test require that the original population be normally distributed.
Now for Testing a Claim about Variance or Standard Deviation
To test a claim about the value of the variance or the standard deviation of population, then we use the test statistic which follows chi-square distribution with n − 1 degrees of freedom, and is given by the following formula.
Where s is for given standard deviation and is for claimed standard deviation.
First we make Hypothesis, then we choose the value of α ( level of significance ), after that using above formula we find value of chi-square.
then we find table value for the chosen α also known as table value or p-value. Finally we give final answer by checking relation between p-value and α.
If p-value < α then null hypothesis is rejected
If p-value > α then null hypothesis accepted.
The probability would be 6/7.
Answer:
Step-by-step explanation:
We need to find the function using given condition.
Parent function of log is log x
A natural logarithmic function crossing the y axis at zero and going through the point 5, -1. The asymptote is x = -1
Asymptote is x=-1
So, graph will shift 1 unit right.
Passing point: (0,0) and (5,-1)
Using these two point we will get a and b
For point (5,-1)
Log to exponent change property
We will rearrange the expression
Now we compare both side to get a and b
So, a=-1 and b=6
Final function we get
Thus, Required function is