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In: Statistics and Probability

The bacterial strain Acinetobacter has been tested for its adhesion properties. A sample of five measurements...

The bacterial strain Acinetobacter has been tested for its adhesion properties. A sample of 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 and that the scientists are interested in high adhesion (at least 2.5 dyne-cm2).
a) Should the alternative hypothesis be one-sided or two-sided? (5 points)
b) Test the hypothesis that the mean adhesion is 2.5 dyne-cm^2.

Please answer by working it out by hand. Thankyou!

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