A group of scientists studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm^{2} at 98\% confidence interval, how many observations should they take?

UkusakazaL

UkusakazaL

Answered question

2021-08-02

A group of scientists studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. If the scientists want the confidence interval to be no wider than 0.55 dycm2 at 98% confidence interval, how many observations should they take? Assume that the standard deviation is known to be 0.66 dycm2
CHOOSE THE RIGHT ANSWER:
a.39
b.21
c.16
d.25
e.18
f.32

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-17Added 163 answers

Step 1
The width is given to be 0.55.
At 98% confidence level, the value of z is 2.326.
It is known that
Width =2zσn
0.55=2zσn
0.55=2(2.326)(0.66)n
n=2(2.326)(0.66)0.55
n=[2(2.326)(0.66)0.55]2
n=[3.070320.55]2]2
n=(5.5824)2
n=31.1632
neq32
Step 2
Therefore, the option F is correct.

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