(b) If the true average percentage is ? = 5.6 and a level ? = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from H0? (Round your answer to four decimal places.) (c) What value of n is required to satisfy ? = 0.01 and ?(5.6) = 0.01? (Round your answer up to the next whole number.) n = samples
(b) If the true average percentage is ? = 5.6 and a level ? = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from H0? (Round your answer to four decimal places.) (c) What value of n is required to satisfy ? = 0.01 and ?(5.6) = 0.01? (Round your answer up to the next whole number.) n = samples
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Question
The desired percentage of SiO2 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 SiO2 in a sample is
(a) Does this indicate conclusively that the true average percentage differs from 5.5?
State the appropriate null and alternative hypotheses.
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.)
State the conclusion in the problem context.
(b) If the true average percentage is
(c) What value of n is required to satisfy ? = 0.01 and ?(5.6) = 0.01? (Round your answer up to the next whole number.)
n = samples
State the appropriate null and alternative hypotheses.
H0: ? = 5.5
Ha: ? ≠ 5.5H0: ? = 5.5
Ha: ? ≥ 5.5 H0: ? = 5.5
Ha: ? < 5.5H0: ? = 5.5
Ha: ? > 5.5
Ha: ? ≠ 5.5H0: ? = 5.5
Ha: ? ≥ 5.5 H0: ? = 5.5
Ha: ? < 5.5H0: ? = 5.5
Ha: ? > 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.
Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.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
? = 5.6
and a level ? = 0.01 test based on n = 16 is used, what is the probability of detecting this departure from H0? (Round your answer to four decimal places.)(c) What value of n is required to satisfy ? = 0.01 and ?(5.6) = 0.01? (Round your answer up to the next whole number.)
n = samples
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