Consider the following sample observations on stabilized viscosity of asphalt sp

Question

Consider the following sample observations on stabilized viscosity of asphalt specimens 2752 2898 2982 2851 2883 Suppose that for a particular application it is required that true average viscosity be 3000. Does thi5 requirement appear to have been satisfied? State the appropriate hypotheses Use ? 0.05. OHo: H3000 Ha: ?-3000 Ha: ? # 3000 ???: ?+3000 H: u-3000 O Ho: ? > 3000 H: 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.) Pvalue - What can you conclude? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average is viscosity differs from 3000 O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average is viscosity differs from 3000. O Do not reject the null hypothesis. There is sufticient evidence to conclude that the true average is viscosity differs from 3000. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000 You may need to use the appropriate table in the Appendix of Tables to answer this question

Explanation / Answer

Solution :

Given that 2752,2898,2982,2851,2883 and ? = 3000

=> n = 5

=> mean x-bar = 2873.2

=> standard deviation s = 83.2628

=> Test statistic t = (x-bar - ?)/(s/sqrt(n))

= (2873.2 - 3000)/(83.2628/sqrt(5))

= -3.41 (rounded)

=> P-value = 0.027

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