(c) Choose the test statistic: P-PO Z=√ Poll-PO n Ox²-((0-²) X-440 5/√n to F= MSG MSE (d) If x=1,428 find the P-value. (Round your answer to four decimal places.) P-value=0.0154

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The answer is not 0.0154. Need help with Part D only. Thank you

A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,400 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 or-58. Let u denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
OH:44=1,400
H₂4*1,400
Ho:44<1,400
H₂μ=1,400
ⒸH₂:44>1,400
H₂=1,400
O
Ho=1,400
H₂×1,400
Ho 1,400
H₂>1,400
(b) Letx denote the sample average compressive strength for n=20 randomly selected specimens. Consider the test procedure with test statistics x
itself (not standardized). What is the probability distribution of the test statistics when Ho is true?
The test statistic has an exponential distribution
The test statistic has a gamma distribution
The test statistic has a normal distribution
The test statistic has a binomial distribution
(c) Choose the test statistic:
P-PO
OZ= √Poll-PO
n
0x²=((0-²)
X-440
s/√n
F=
MSG
MSE
(d) If x=1,428 find the P-value. (Round your answer to four decimal places.)
P-value 0.0154
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 1,400 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 or-58. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? OH:44=1,400 H₂4*1,400 Ho:44<1,400 H₂μ=1,400 ⒸH₂:44>1,400 H₂=1,400 O Ho=1,400 H₂×1,400 Ho 1,400 H₂>1,400 (b) Letx denote the sample average compressive strength for n=20 randomly selected specimens. Consider the test procedure with test statistics x itself (not standardized). What is the probability distribution of the test statistics when Ho is true? The test statistic has an exponential distribution The test statistic has a gamma distribution The test statistic has a normal distribution The test statistic has a binomial distribution (c) Choose the test statistic: P-PO OZ= √Poll-PO n 0x²=((0-²) X-440 s/√n F= MSG MSE (d) If x=1,428 find the P-value. (Round your answer to four decimal places.) P-value 0.0154
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