Suppose we wish to test the null hypothesis mu is less than or equal to 47 versus the alternative hypothesis mu is greater than 47. what will result if we conclude that the mean is greater than 47 when its true value is really 52?

a. we have made a type i error.
b. we have made a type il error.
c. we have made a correct decision.
d. none of the above are correct.

C. We have made a correct decision

Step-by-step explanation:

Hypotheses are:

: mu is less than or equal to 47

: mu is greater than 47

Type I error happens when we reject the null hypothesis but the null hypothesis was true

Type II error happens when we fail to reject the null hypothesis but the null hypothesis was wrong.

In this example we concluded that mu is greater than 47, thus we reject the null hypothesis. Since true mean is 52, this conclusion is true. We have made a correct decision

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )