# Hypothesis Testing: T-test

The average length of time for students to register for classes at a certain college has been 50 minutes. A new registration procedure is being tried. A random sample of 12 students resulted in an average registration time of 42 minutes with a standard deviation of 11.9. Assume the distribution of registration times are normally distributed and test the hypothesis that the population mean with the new procedure is less than 50 minutes. Using a .05 level of significance.

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#### Solution Preview

Please refer attached file for better clarity of expressions.

H0: μ = 50

H1: μ = 50

Here sample size is less than 30 and Population standard deviation is not given. We should use t-distribution.

Sample ...

#### Solution Summary

Solution depicts the steps for testing the hypothesis if population mean with the new procedure is less than 50 minutes.