Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -

--- test statistic

--- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

--- Null hypothesis

---- Alternate hypothesis

Solving (a): The test statistic

This is calculated as:

So, we have:

Solving (b): The p value

This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes

Solving (c): With , what is the conclusion based on the p value

We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: 193

explanation:

200-7 = 193