Consider the following sample observations on stabilized viscosity of asphalt specimens.
2772 | 2890 | 3003 | 2816 | 2882 |
Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State the appropriate hypotheses. (Use α = 0.05.)
a)H0: μ < 3000 Ha: μ = 3000
b)H0: μ ≠ 3000 Ha: μ = 3000
c)H0: μ = 3000 Ha: μ ≠ 3000
d)H0: μ > 3000
Ha: μ < 3000
Calculate the test statistic and determine the P-value.
(Round your test statistic to two decimal places and your
P-value to three decimal places.)
t | = | |
P-value | = |
What can you conclude?
a) Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average is viscosity differs from 3000.b) Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000. c) Reject the null hypothesis. There is not sufficient evidence to conclude that the true average is viscosity differs from 3000. d)Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.
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