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 30 minutes. Write the claim as a mathematical statement. A. mugreater than30 B. mugreater than or equals30 C. muless than30 D. munot equals30 E. muless than or equals30 F. muequals30 Choose the correct null and alternative hypotheses below. A. Upper H 0​: munot equals30 Upper H Subscript a​: muequals30 B. Upper H 0​: muless than or equals30 Upper H Subscript a​: mugreater than30 C. Upper H 0​: muequals30 Upper H Subscript a​: munot equals30 D. Upper H 0​: mugreater than30 Upper H Subscript a​: muless than or equals30 E. Upper H 0​: muless than30 Upper H Subscript a​: mugreater than or equals30 F. Upper H 0​: mugreater than or equals30 Upper H Subscript a​: muless than30 Identify which is the claim. A. The null hypothesis Upper H 0​: mugreater than or equals30 is the claim B. The null hypothesis Upper H 0​: muequals30 is the claim C. The alternative hypothesis Upper H Subscript a​: mugreater than30 is the claim. D. The null hypothesis Upper H 0​: muless than or equals30 is the claim. E. The alternative hypothesis Upper H Subscript a​: munot equals30 is the claim F. The alternative hypothesis Upper H Subscript a​: muless than30 is the claim

Answer 1

Here a company claims that its brands of paint have a mean drying time of more than 30 minutes.

Hence here claim is that

So answer is A. mugreater than30

As we know null hypothesis always have equality sign

So vs

So answer is B. Upper H 0​: muless than or equals30 Upper H Subscript a​: mugreater than30

As we know claim is that mean is greater than 30, and this is alternative hypothesis

So answer is C. The alternative hypothesis Upper H Subscript a​: mugreater than30 is the claim.