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Hypothesis Testing of Mean

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We ask whether a private school leads to higher or lower performance on a test of social skills. A sample of 100 students from a private school produces a mean of 71.30 on the test, and the national mean for students from public schools is 75.62 (? x= 28.0).
a) Should we use a one-tailed or a two-tailed test? Why?
b) What are H0 and Ha?
c) Compute z obt
d) With ?=.05 what is z crit?
e) What should we conclude about this relationship?

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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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We ask whether a private school leads to higher or lower performance on a test of social skills. A sample of 100 students from a private school produces a mean of 71.30 on the test, and the national mean for students from public schools is 75.62 (σ x= 28.0).
Answers
a) Should we use a one-tailed or a two-tailed test? Why?
Since we want to test whether the private school leads to higher or lower performance on the test, there is no ...

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