Question

Consider the following random sample observations on stabilized viscosity of asphalt specimens.

2081

1977

2037

1842

2074

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

H₀: μ ≠ 2000

H_a: μ = 2000

H₀: μ > 2000

H_a: μ < 2000

    

H₀: μ = 2000

H_a: μ ≠ 2000

H₀: μ < 2000

H_a: μ = 2000

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

Mean		x =
Standard Error		σx =

Test the appropriate hypotheses. (Round your z test statistic to two 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 to conclude that the true average viscosity differs from 2000.

Reject the null hypothesis. There is strong evidence to conclude that the true average viscosity differs from 2000.   

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

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

Answer 1

	Values ( X )
	2081	6209.44
	1977	635.04
	2037	1211.04
	1842	25664.04
	2074	5155.24
Total	10011	38874.8

  
Standard deviation

Standard Error

State the appropriate hypotheses.

H₀: μ = 2000

H_a: μ ≠ 2000

Test Statistic :-


Z = 0.0551

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

P value = 2 * P ( Z > 0.051 ) = 0.9561

What can you conclude?

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