To help your restaurant marketing campaign target the right age levels, you want to find out if there is a statistically significant difference, on the average, between the age of your customers and the age of the general population in town, 43.1 years. A random sample of 50 customers shows an average age of 33.6 years with a standard deviation of 16.2 years.
a. Identify the null and research hypotheses for a twosided test using both words and mathematical symbols.
b. Perform a two-sided test at the 5% significance level and describe the result.