Consider the following sample observations on stabilized viscosity of asphalt specimens.2,797 2,907 3,008 2,836 2,881USE SALTSuppose that for a particular application, it is required that true average viscosity be 3,000. Does this requirement appear to have been satisfied? State the appropriate hypotheses. (Use a = 0.05.)Ho: μ> 3,000CHa: μ< 3,000Ho: μ = 3,000Ha: μ = 3,000Ho: μ = 3,000Ha: H = 3,000Ho: μ< 3,000Ha: H = 3,000Calculate 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?O Do not reject the null hypothesis. There is 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 Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.O Do not reject the null hypothesis. There is not 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.

From the provided information, Sample size (n) = 5 Level of significance (α) = 0.05

Answered: Consider the following sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the following sample observations on stabilized viscosity of asphalt specimens. 2,762   2,907   3,012   2,813   2,876 Suppose that for a particular application, it is required that true average viscosity be 3,000. Does this requirement appear to have been satisfied? State the appropriate hypotheses. (Use ? = 0.05.) H0: ? > 3,000 Ha: ? < 3,000 H0: ? = 3,000 Ha: ? ≠ 3,000      H0: ? ≠ 3,000 Ha: ? = 3,000 H0: ? < 3,000 Ha: ? = 3,000 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? Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.    Reject the null hypothesis. There is not sufficient evidence to conclude that…
Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000.    Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000.     Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1 a)Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05. b) Suppose that prior to the experiment, a value of teta=7.5 had been assumed. How many determinations would then have been appropriate to obtain beta=.10 for the alternative u=95 ?
In a comparison of two methods for the determination of chromium in rye grass, the following results were obtained: Method A, mean(mg/kg Cr)=1.48 Standard deviation(mg/kg Cr)=0.28 n= 6 Method B, mean (mg/kg Cr)=2.33 Standard deviation(mg/kg Cr)=0.31 n=10 Is the precision of these two methods significantly different? Do these two methods give results with means which differ significantly? a=0.05
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? State the null and alternative hypotheses. Calculate, correct to 2 decimal places, the sample mean, x ; and the sample standard deviation, s. Evaluate the appropriate test statistic. Test these hypotheses at 05 level of significance.
Dr. Stevenson reported the following in a journal: “F (4, 106) = 10.09, p = .04.” Should Dr. Stevenson state that there are significant differences among the variable means at a .01 alpha level?
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at   0.05 level of significance.
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…
given normally distributed sample x=12 and s=3, use the Empirical Rule determine the upper and lower bounds to contain approximately 95% of your data
Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30

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