Bacterium Culture Standard Antibiotic New Antibiotic 1 23.6 22.5 2 27.9 25.6 3 2
ID: 2917977 • Letter: B
Question
Bacterium Culture
Standard Antibiotic
New Antibiotic
1
23.6
22.5
2
27.9
25.6
3
22.9
24.0
4
21.8
20.4
5
25.8
26.0
6
30.7
26.6
7
26.5
26.4
8
25.4
22.1
Question Details: ( IONLY NEED TO SEE HOW TO GET THE STANDARD DEVIATION) DONOT SOLVE THE PROBLEM Eight cultures of a bacterium are split in half. One half istested using a standard antibiotic and the other half is testedusing a new antibiotic. The data values below are the times takento kill the bacterium.Bacterium Culture
Standard Antibiotic
New Antibiotic
1
23.6
22.5
2
27.9
25.6
3
22.9
24.0
4
21.8
20.4
5
25.8
26.0
6
30.7
26.6
7
26.5
26.4
8
25.4
22.1
Use an appropriate hypothesis tests to assess whether there isany evidence that the new antibiotic is quicker than the standardantibiotic.Explanation / Answer
Hint: Let X denote the time taken for thestandard antibiotic to kill the bacterium and Y the time taken forthe new antibiotic to kill the bacterium. Then, since we havediscrete rv's: = [V(X)] =[E(X2)-[E(X)]2] =x2p(x)
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