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 obtaine are analyzed. Suppose that the percentage of Sio, in a sample is normally distributed with o = 0.32 and that x = 5.22. (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. Ο H: μ= 5.5 HạiH < 5.5 O Ho: H = 5.5 Hai H2 5.5 O Ho: u = 5.5 Hi H#5.5 O Hai 4 = 5.5
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 obtaine are analyzed. Suppose that the percentage of Sio, in a sample is normally distributed with o = 0.32 and that x = 5.22. (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. Ο H: μ= 5.5 HạiH < 5.5 O Ho: H = 5.5 Hai H2 5.5 O Ho: u = 5.5 Hi H#5.5 O Hai 4 = 5.5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 = 5.22. (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.
O
Ho: H = 5.5
Hi H< 5.5
O Ho: µ = 5.5
Hai H2 5.5
Ο H0: μ 5.5
На: и# 5.5
O Ho: H = 5.5
Ha: u > 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.
Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage.
(b) If the true average percentage is u =
5.6 and a level a = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from Ho? (Round your answer to four decimal
places.)
(c) What value of n is required to satisfy a = 0.01 and B(5.6) = 0.01? (Round your answer up to the next whole number.)
n =
samples](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93c838d2-ad67-4d4e-aa44-92b2e54ae863%2F3f2231af-aaa7-4ff3-89b1-ac8f166a7f64%2F6w5az1h_processed.png&w=3840&q=75)
Transcribed Image Text: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 = 5.22. (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.
O
Ho: H = 5.5
Hi H< 5.5
O Ho: µ = 5.5
Hai H2 5.5
Ο H0: μ 5.5
На: и# 5.5
O Ho: H = 5.5
Ha: u > 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.
Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage.
Reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage.
(b) If the true average percentage is u =
5.6 and a level a = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from Ho? (Round your answer to four decimal
places.)
(c) What value of n is required to satisfy a = 0.01 and B(5.6) = 0.01? (Round your answer up to the next whole number.)
n =
samples
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