# A certain academic program claims that their students graduate in less than 4 years on average.  A random sample of 50 students is taken and the mean and standard deviation are found.  The test statistic is calculated to be -1.69.  Using a 5% significance level, the conclusion would be:

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A certain academic program claims that their students graduate in less than 4 years on average.  A random sample of 50 students is taken and the mean and standard deviation are found.  The test statistic is calculated to be -1.69.  Using a 5% significance level, the conclusion would be:

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Step 1

The appropriate null and alternative hypotheses for the above provided test is:

Step 2

Here, the population standard deviation is unknown, so the appropriate test is t-test for testing means.

It is given that the t...

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### Hypothesis Testing 