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In: Statistics and Probability

A sample of dissolving times (in seconds) of a drug in water generated the following data:...

A sample of dissolving times (in seconds) of a drug in water generated the following data:

42.3, 43.4, 44.4, 45.1, 46.6, 45.2, 46.8, 47.6

Assume that the dissolving time is normally distributed and the population standard deviation is 1.5 seconds.

(a) Determine a 95% confidence interval for the mean dissolving time.

(b) At the 0.1 level of significance, test the hypothesis that the mean dissolving time under the conditions experienced is equal to 46 seconds using the probability-

value approach.

(c) At the 0.01 level of significance, test the hypothesis that the mean dissolving time under the conditions experienced is greater than 45 seconds using the classical approach.

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