A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively ti strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 63. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: = 1,300 O Ho: H = 1,300 H:H > 1,300 O Ho: H < 1,300 H:H= 1,300 O Ho: H = 1,300 H:H* 1,300 O Ho: H = 1,300 H:H< 1,300 (b) Let X denote the sample average compressive strength for n = 11 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test st when H, is true? O The test statistic has a gamma distribution. O The test statistic has a binomial distribution. O The test statistic has an exponential distribution. O The test statistic has a normal distribution. If X= 1,340, find the P-value. (Round your answer to four decimal places.) P-value = Should H, be rejected using a significance level of 0.01? O reject H. O do not reject H.

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively ti strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 63. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: = 1,300 O Ho: H = 1,300 H:H > 1,300 O Ho: H < 1,300 H:H= 1,300 O Ho: H = 1,300 H:H* 1,300 O Ho: H = 1,300 H:H< 1,300 (b) Let X denote the sample average compressive strength for n = 11 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test st when H, is true? O The test statistic has a gamma distribution. O The test statistic has a binomial distribution. O The test statistic has an exponential distribution. O The test statistic has a normal distribution. If X= 1,340, find the P-value. (Round your answer to four decimal places.) P-value = Should H, be rejected using a significance level of 0.01? O reject H. O do not reject H.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Refer to the rabbit ear lengths data set attached to this question. A fellow researcher believes that the mean ear length of all Mountain cottontail rabbits is 5.7 cm. You believe that it may be smaller than this. (a) State the null hypothesis and alternative hypothesis. Be sure to define in words the meaning of the parameter “μ,” in the context of this problem. (b) By hand, carry out a test of significance, to test the researcher’s claim. Show your work at each step. (c) Was your result in part (b) statistically significant, or not statistically significant? Explain what this result means, using words that would be understood by someone who had never taken a Statistics course.
The desired percentage of Sio, 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 Sio, in a sample is normally distributed with o = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. Ho: u = 5.5 Hg: µ 2 5.5 Ho: H = 5.5 HaiH 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 not sufficient evidence to conclude that the true average percentage differs from the desired percentage. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the…
Answer part d
A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. (a) Define the parameter of interest. O μ = true average braking distance for the new design O μ = true average braking distance for the old design Op = true proportion of cars whose braking distances did not reduce Op = true proportion of cars whose braking distances reduced State the relevant hypotheses. O Ho: 120 H₂: > 120 ⒸHO: P = 120 H₂: P = 120 ⒸH₂: p = 120 Ha: p < 120 Ho: = 120 Ha: # < 120 ⒸH₂ = 120 H₂H 120 (b) Suppose braking distance for the new system is normally distributed with = 11. Let X denote the sample average braking distance for a random sample of 36 observations. Which values of x are more contradictory to H than 117.2?…
Answer 7d
Q4: The diameter of a shaft in an optical storage drive is normally distributed with mean 0.2408 inch and standard deviation 0.0005 inch. The specifications on the shaft are 0.2400±0.001 inch. a) What proportion of shafts conforms to specifications? b) If the process is centered so that the process mean is equal to the target value of 0.2400, then what proportion of shafts conforms to specifications now?
(b) Find the critical value(s) and identify the rejection region.
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 69. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: u = 1,300 Ο H,: μ= 1,300 H: u 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true? O The test statistic has a binomial distribution. O The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. If X = 1,340, find the…