(a) What are the appropriate null and alternative hypotheses? Hol> 1,300 H,- 1,300 Hoi H- 1,300 H 1,300 Hoi« 1,300 Hi- 1,300 O Hol-1,300 HI 1,300 • Hoi - 1,300 H,i> 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? The test statistic has a binomial distribution. O The test statistic has a gamma distribution. • The test statistic has a normal distribution. lO The test statistic has an exponential distribution. If - 1,340, find the P-value. (Round your answer to four decimal places.) Pvalue - 0.01
(a) What are the appropriate null and alternative hypotheses? Hol> 1,300 H,- 1,300 Hoi H- 1,300 H 1,300 Hoi« 1,300 Hi- 1,300 O Hol-1,300 HI 1,300 • Hoi - 1,300 H,i> 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? The test statistic has a binomial distribution. O The test statistic has a gamma distribution. • The test statistic has a normal distribution. lO The test statistic has an exponential distribution. If - 1,340, find the P-value. (Round your answer to four decimal places.) Pvalue - 0.01
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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
Ο Hρ: μ < 1,300
H: u = 1,300
O Ho: 4 = 1,300
H: u # 1,300
Ho: H = 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 P-value. (Round your answer to four decimal places.)
P-value = 0.01
Should Ho be rejected using a significance level of 0.01?
O reject Ho
O do not reject H.
(c) What is the probability distribution of the test statistic when u = 1,350 and n = 15?
The test statistic has a gamma distribution.
O The test statistic has a binomial distribution.
O The test statistic has a normal distribution.
O The test statistic has an exponential distribution.
State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.)
1350
v KN/m2
mean
standard deviation
18.028
X KN/m2
For
test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact u = 1,350 (a type II error)? (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8edd889e-338a-4275-872c-5b2b400b4e22%2Fff3ae2a2-219b-430c-bc11-a53023c69e56%2F0psm9s_processed.png&w=3840&q=75)
Transcribed Image Text: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
Ο Hρ: μ < 1,300
H: u = 1,300
O Ho: 4 = 1,300
H: u # 1,300
Ho: H = 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 P-value. (Round your answer to four decimal places.)
P-value = 0.01
Should Ho be rejected using a significance level of 0.01?
O reject Ho
O do not reject H.
(c) What is the probability distribution of the test statistic when u = 1,350 and n = 15?
The test statistic has a gamma distribution.
O The test statistic has a binomial distribution.
O The test statistic has a normal distribution.
O The test statistic has an exponential distribution.
State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.)
1350
v KN/m2
mean
standard deviation
18.028
X KN/m2
For
test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact u = 1,350 (a type II error)? (Round your answer to four decimal places.)
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