Question

A set of average city temperatures in December are normally distributed with a mean of 16.3°C and a standard deviation of 2°C. What is the question?

Answer 1

To perform a hypothesis test with the given sample data, the t-distribution should be used.

Step-by-step explanation:

In this case, the distribution to use for a hypothesis test would be the t-distribution.

To perform a hypothesis test, we compare the sample mean (12.8) to the population mean (13) and take into account the sample size (20) and sample standard deviation (2).

1. Define the null hypothesis (H0) and the alternative hypothesis (Ha).
2. Choose the significance level (alpha).
3. Calculate the test statistic using the formula: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
4. Determine the critical value(s) or p-value depending on the type of test (one-sided or two-sided).
5. Compare the test statistic to the critical value(s) or p-value and make a decision whether to reject or fail to reject the null hypothesis.