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.

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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 = 63. Let µ denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
Но: и> 1,300
Ha: u = 1,300
Ho: u =
На: и> 1,300
1,300
Ho: H < 1,300
На: и 3 1,300
О Но: и 3 1,300
H: u + 1,300
Ho: H =
H: u < 1,300
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 statistic
when H. is true?
The test statistic has a gamma distribution.
The test statistic has a binomial distribution.
The test statistic has an exponential distribution.
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?
reject Ho
do not reject H.
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 = 63. Let µ denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Но: и> 1,300 Ha: u = 1,300 Ho: u = На: и> 1,300 1,300 Ho: H < 1,300 На: и 3 1,300 О Но: и 3 1,300 H: u + 1,300 Ho: H = H: u < 1,300 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 statistic when H. is true? The test statistic has a gamma distribution. The test statistic has a binomial distribution. The test statistic has an exponential distribution. 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? reject Ho do not reject H.
(c) What is the probability distribution of the test statistic when u = 1,350 and n = 11?
The test statistic has an exponential distribution.
The test statistic has a binomial distribution.
The test statistic has a normal distribution.
The test statistic has a gamma distribution.
State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.)
| KN/m2
mean
standard deviation
KN/m2
For a 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.)
Transcribed Image Text:(c) What is the probability distribution of the test statistic when u = 1,350 and n = 11? The test statistic has an exponential distribution. The test statistic has a binomial distribution. The test statistic has a normal distribution. The test statistic has a gamma distribution. State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.) | KN/m2 mean standard deviation KN/m2 For a 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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