a statistics instructor wants to conduct a hypothesis test to determine if the mean number of credit hours taken by all ucf students is more than 11 hours. the instructor takes a sample of 27 ucf students and finds that they have a mean of 11.3 hours and a standard deviation of 3.0 hours. assume the population distribution of credit hours taken is approximately normal. what are the hypotheses for the test?

A hypothesis is an educated guess while using reasonable thinking, about the answer to a scientific question. Although it is not proof in an experiment, it is the predicted outcome of the experimentation. It can either be supported or not supported at all, but it depends on the data gathered.

The hypotheses for the test in this case are:

Null hypothesis (H0): The mean number of credit hours taken by all UCF students is not significantly different from 11 hours.

Alternative hypothesis (H1): The mean number of credit hours taken by all UCF students is significantly greater than 11 hours.

The null hypothesis represents the assumption that there is no difference between the mean number of credit hours taken by all UCF students and the value being tested (in this case, 11 hours). The alternative hypothesis is the opposite of the null hypothesis, and represents the claim that the mean number of credit hours taken by all UCF students is significantly different from 11 hours.

In this case, the instructor is specifically interested in testing whether the mean number of credit hours taken by all UCF students is significantly greater than 11 hours. Therefore, the alternative hypothesis is that the mean number of credit hours taken by all UCF students is significantly greater than 11 hours.

Hypotheses for the test are Null hypothesis and Alternative hypothesis

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