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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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Ishikawa et al. (Journal of Bioscience and

Chapter 8, Problem 22E

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QUESTION:

Problem 22E

Ishikawa et al. (Journal of Bioscience and Bioengineering,

2012) studied the adhesion of various biofilms to solid surfaces

for possible use in environmental technologies. Adhesion assay

is conducted by measuring absorbance at A500. Suppose that for

the bacterial strain Acinetobacter, 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?

Questions & Answers

QUESTION:

Problem 22E

Ishikawa et al. (Journal of Bioscience and Bioengineering,

2012) studied the adhesion of various biofilms to solid surfaces

for possible use in environmental technologies. Adhesion assay

is conducted by measuring absorbance at A500. Suppose that for

the bacterial strain Acinetobacter, 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?

ANSWER:

Step 1 of 3

Given that,

Suppose that for the bacterial strain Acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-\(cm^2\) .

Assume that the standard deviation is known to be  dyne-\(cm^2\) .

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