Final answer:
The question covers hypothesis testing elements, including the null hypothesis (H0), the alternative hypothesis (Ha), test types, and data distribution conditions. A Student's t-test is used when the population standard deviation is unknown and the population is approximately normally distributed or the sample size is large. Normal distribution is used for hypothesis testing of population proportions, usually with a large sample size.
Step-by-step explanation:
In hypothesis testing, we frequently address different components such as the null hypothesis (H0), alternative hypothesis (Ha), the type of test, and the distribution conditions that need to be met. When referring to a single population mean, and the population standard deviation is unknown, it is appropriate to use a Student's t-test if the sample data is a simple random sample, and one of the following conditions is met: either the population is approximately normally distributed or the sample size is large enough to justify the normal approximation.
To perform a hypothesis test properly, conditions about the sample must be satisfied, and the claim can be evaluated for a population. Specifically, for a sampling distribution associated with a test of population proportion, a normal distribution is often used, which usually requires a large sample size.
For part a, an appropriate final answer will include the null hypothesis (H0) that states the population mean in a form that includes equality. A t-test can then be performed, assuming normal distribution if these conditions are met. For part b, chi-squared tests are not performed on sample means but rather on categorical data, and the alternative hypothesis concerns a population parameter, not a sample statistic.