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

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I am not sure how to complete the incorrect section of this problem.

(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.)
1350
KN/m2
mean
standard deviation
18.995
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.)
.0042
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.) 1350 KN/m2 mean standard deviation 18.995 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.) .0042
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 u denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
Ho: 4 > 1,300
На: и — 1,300
Ho: H =
1,300
На: и> 1,300
Но: и < 1,300
Ha: u = 1,300
Ho: u = 1,300
H: u + 1,300
Ho: H = 1,300
H: µ < 1,300
a
(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 =
.0176
Should
be rejected using a significance level of 0.01?
Но
reject H.
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 u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Ho: 4 > 1,300 На: и — 1,300 Ho: H = 1,300 На: и> 1,300 Но: и < 1,300 Ha: u = 1,300 Ho: u = 1,300 H: u + 1,300 Ho: H = 1,300 H: µ < 1,300 a (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 = .0176 Should be rejected using a significance level of 0.01? Но reject H. do not reject H.
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