8.1.10 If the sample size n is doubled, by how much is the length of the CI on μ in Equation 8.5 reduced? What happens to the length of the interval if the sample size is increased by a factor of four? 8.1.11 WP SS By how much must the sample size n be increased if the length of the CI on μ in Equation 8.5 is to be halved? 8.1.12 Ishikawa et al. ["Evaluation of Adhesiveness of Acineto- bacter sp. Tol 5 to Abiotic Surfaces," Journal of Bioscience and Bioengineering (Vol. 113(6), pp. 719-725)] studied the adhesion of various biofilms to solid surfaces for possible use in environ- mental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acineto- bacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62, and 4.12 dyne-cm². Assume that the standard deviation is known to be 0.66 dyne-cm². a. Find a 95% confidence interval for the mean adhesion. b. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm², how many observations should they take?
8.1.10 If the sample size n is doubled, by how much is the length of the CI on μ in Equation 8.5 reduced? What happens to the length of the interval if the sample size is increased by a factor of four? 8.1.11 WP SS By how much must the sample size n be increased if the length of the CI on μ in Equation 8.5 is to be halved? 8.1.12 Ishikawa et al. ["Evaluation of Adhesiveness of Acineto- bacter sp. Tol 5 to Abiotic Surfaces," Journal of Bioscience and Bioengineering (Vol. 113(6), pp. 719-725)] studied the adhesion of various biofilms to solid surfaces for possible use in environ- mental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acineto- bacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62, and 4.12 dyne-cm². Assume that the standard deviation is known to be 0.66 dyne-cm². a. Find a 95% confidence interval for the mean adhesion. b. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm², how many observations should they take?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 38E
Related questions
Question
Answer questions 8.1.10, 8.1.11and 8.1.12 respectively
![8.1.10 If the sample size n is doubled, by how much is the length
of the CI on μ in Equation 8.5 reduced? What happens to the
length of the interval if the sample size is increased by a factor
of four?
8.1.11 WP SS By how much must the sample size n be
increased if the length of the CI on μ in Equation 8.5 is to be
halved?
8.1.12 Ishikawa et al. ["Evaluation of Adhesiveness of Acineto-
bacter sp. Tol 5 to Abiotic Surfaces," Journal of Bioscience and
Bioengineering (Vol. 113(6), pp. 719-725)] studied the adhesion
of various biofilms to solid surfaces for possible use in environ-
mental technologies. Adhesion assay is conducted by measuring
absorbance at A590. Suppose that for the bacterial strain Acineto-
bacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62,
and 4.12 dyne-cm². Assume that the standard deviation is known
to be 0.66 dyne-cm².
a. Find a 95% confidence interval for the mean adhesion.
b. If the scientists want the confidence interval to be no
wider than 0.55 dyne-cm², how many observations should
they take?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63e1cfc5-d743-4910-a579-2d48ed6c9d1a%2Ff95c824f-683f-4c2e-b69f-0d14f242fc15%2Fctnxynb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8.1.10 If the sample size n is doubled, by how much is the length
of the CI on μ in Equation 8.5 reduced? What happens to the
length of the interval if the sample size is increased by a factor
of four?
8.1.11 WP SS By how much must the sample size n be
increased if the length of the CI on μ in Equation 8.5 is to be
halved?
8.1.12 Ishikawa et al. ["Evaluation of Adhesiveness of Acineto-
bacter sp. Tol 5 to Abiotic Surfaces," Journal of Bioscience and
Bioengineering (Vol. 113(6), pp. 719-725)] studied the adhesion
of various biofilms to solid surfaces for possible use in environ-
mental technologies. Adhesion assay is conducted by measuring
absorbance at A590. Suppose that for the bacterial strain Acineto-
bacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62,
and 4.12 dyne-cm². Assume that the standard deviation is known
to be 0.66 dyne-cm².
a. Find a 95% confidence interval for the mean adhesion.
b. If the scientists want the confidence interval to be no
wider than 0.55 dyne-cm², how many observations should
they take?
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