Question

For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
A company claims that its brands of paint have a mean drying time of more than 90 minutes.

Write the claim as a mathematical statement.
A.
mugreater than or equals90
B.
muless than90
C.
muless than or equals90
D.
muequals90
E.
munot equals90
F.
mugreater than90

Choose the correct null and alternative hypotheses below.
A.
Upper H 0?: mugreater than90
Upper H Subscript a?: muless than or equals90
B.
Upper H 0?: muless than or equals90
Upper H Subscript a?: mugreater than90
C.
Upper H 0?: muless than90
Upper H Subscript a?: mugreater than or equals90
D.
Upper H 0?: munot equals90
Upper H Subscript a?: muequals90
E.
Upper H 0?: muequals90
Upper H Subscript a?: munot equals90
F.
Upper H 0?: mugreater than or equals90
Upper H Subscript a?: muless than90

Identify which is the claim.
A.
The alternative hypothesis Upper H Subscript a?: muless than90 is the claim
B.
The alternative hypothesis Upper H Subscript a?: munot equals90 is the claim
C.
The null hypothesis Upper H 0?: mugreater than or equals90 is the claim
D.
The alternative hypothesis Upper H Subscript a?: mugreater than90 is the claim.
E.
The null hypothesis Upper H 0?: muequals90 is the claim
F.
The null hypothesis Upper H 0?: muless than or equals90 is the claim.

Answer 1

Question 1:

Here, we are trying to test whether the mean is more than 90. Therefore the claim is given here as:

Therefore F is the correct answer here.

Question 2:

Now as there is only one side that we are testing here, that is one tailed test, therefore the null and the alternate hypothesis here are given as:

Therefore B is the correct answer here.

Question 3:

This can be easily deduced now from the above 2 questions that the alternate hypothes is the claim and therefore is given as:

Therefore D is the correct answer here.