Consider the following random sample observations on stabilizedviscosity of asphalt specimens.

2081

1977

2037

1842

2074

Suppose that for a particular application, it is required thattrue average viscosity be 2000. Is there evidence this requirementis not satisfied? From previous findings we know that thepopulation standard deviation, ? = 89.3.
State the appropriate hypotheses. (Use ? = 0.05.)

H₀: ? ? 2000

H_a: ? = 2000

H₀: ? > 2000

H_a: ? < 2000

    

H₀: ? = 2000

H_a: ? ? 2000

H₀: ? < 2000

H_a: ? = 2000

Calculate the sample mean and standard error. (Round your answersto three decimal places.)

Mean		x =
Standard Error		?x =

Test the appropriate hypotheses. (Round your z test statistic totwo decimal places and your p-value to four decimal places.)

test statistic		z =
p - value		p-value =

What can you conclude?

Do not reject the null hypothesis. There is strong evidence toconclude that the true average viscosity differs from 2000.

Reject the null hypothesis. There is strong evidence to concludethat the true average viscosity differs from2000.   

Reject the null hypothesis. There is no evidence to concludethat the true average viscosity differs from 2000.

Do not reject the null hypothesis. There is no evidence toconclude that the true average viscosity differs from 2000.