Stat 4706 Fall 2006 Homework 3 Solutions
Total point possible:
For these hypothesis testing questions, you must identify the null and alternative
hypotheses using the correct parameters, show the calculation of the test statistic, identify
the rejection region or calculate the p-value, state your reasoning for your rejection
decision in terms of the rejection region or p-value, and write a conclusion in terms of the
alternative hypothesis.
1) Workers in a large plant are expected to complete a particular task in 60 seconds. The
production manager believes that the average worker is not satisfying that expectation.
To examine the issue, she watches eight workers perform the task and measures their
times. The times, which are assumed to be normally distributed, are 58, 53, 63, 62, 57,
55, 53, and 55. Complete a hypothesis test at a .05 level of significance to see if the
average time is different from 60 seconds.
(1 pt) Hypotheses: H0: H1:
(1 pt) Test Statistic:
(1 pt) Rejection Region:
(1 pt) Decision:
(1 pt) Conclusion:
