For 311, please provide the following information. (a)

Chapter , Problem 10

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For 311, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Compute the sample est statistic. What is the sampling distribution? What conditions are necessary to use this distribution? (c) Find the P-value of the sample test statistic. (d) Conclude the test. (e) Interpret the conclusion in the context of the application Doctors Degree: Years of Study Is the average length of time to earn a doctorate different from one field to another? Independent random samples from large graduate schools gave the following averages for length of registered time (in years) from bachelors degree to doctorate. Sample A was taken from the humanities field, and sample B from the social sciences field. (Reference: Education Statistics, U.S. Department of Education.) Field A 8.9 8.3 7.2 6.4 8.0 7.5 7.1 6.0 9.2 8.7 7.5 Field B 7.6 7.9 6.2 5.8 7.8 8.3 8.5 7.0 6.3 5.4 5.9 7.7 Use a 1% level of significance to test the claim that there is no difference in the distributions of time to complete a doctorate for the two fields.