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In: Statistics and Probability

Test the hypothesis that the average amount o a a particular substance in a container is...

Test the hypothesis that the average amount o a a particular substance in a container is µ0 = 10.1 liters, if the recorded contents of a random sample of 8 containers are 10.1, 9.9, 9.8, 10.4, 10.2, 10.6, 9.7, 9.5. Use a 0.05 level of significance and assume that the distribution of contents is normal. Perform the test against the alternative hypotheses (a) µ 6= µ0, (b) µ > µ0 and (c) µ < µ0. (Hint: Use the t–distribution)

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