Question

For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
The standard deviation of the base price of a certain type of? all-terrain vehicle is at least ?$327.

a. Write the claim as a mathematical statement.

equals327
B.
sigmagreater than327
C.
sigmaless than or equals327
D.
sigmanot equals327
E.
sigmagreater than or equals327
F.
sigmaless than327

b. Identify the correct null and alternative hypotheses below.

.
Upper H 0?: sigmagreater than or equals327
Upper H Subscript a?: sigmaless than327
B.
Upper H 0?: sigmaless than327
Upper H Subscript a?: sigmagreater than or equals327
C.
Upper H 0?: sigmaless than or equals327
Upper H Subscript a?: sigmagreater than327
D.
Upper H 0?: sigmaequals327
Upper H Subscript a?: sigmanot equals327
E.
Upper H 0?: sigmagreater than327
Upper H Subscript a?: sigmaless than or equals327
F.
Upper H 0?: sigmanot equals327
Upper H Subscript a?: sigmaequals327

c. Identify the claim.

A.
The alternative hypothesis Upper H Subscript a?: sigmagreater than327 is the claim
B.
The null hypothesis Upper H 0?: sigmagreater than or equals327 is the claim.
C.
The null hypothesis Upper H 0?: sigmaless than or equals327 is the claim
D.
The alternative hypothesis Upper H Subscript a?: sigmaless than327 is the claim.
E.
The null hypothesis Upper H 0?: sigmaequals327 is the claim
F.
The alternative hypothesis Upper H Subscript a?: sigmanot equals327 is the claim

Answer 1

Question 1: Here, we are testing whether The standard deviation of the base price of a certain type of? all-terrain vehicle is at least ?$327, therefore the claim here would be the null hypothesis which is given as:

Therefore E is the correct answer here.

Question 2:

As stated in the previous problem, the null and the alternate hypothesis here are given as:

Therefore A is the correct answer here.

Question 3:

We already saw that the claim here is the null hypothesis given as:

B is the correct answer here.