v> According to a report published on a local newspaper in Hong Kong, the average age of

viewers of live television programs broadcast on TVB is 51 years old. Suppose a rival

network (e.g. ViuTV) executive hypothesizes that the average age of ViuTV viewers is

less than 51. To test her hypothesis, she sampled 200 ViuTV viewers and found that their

mean age was 50 with a standard deviation of 11.

a. What is the population in this study?

b. What is the variable of interest? Is this variable numerical or categorical?

c. Describe the sample in the study.

d. Describe the inference that the executive of ViuTV is doing in this study.

e. Write down the null and alternative hypotheses for the executive.

f. What is the appropriate probability distribution that should be used in testing the

executive's hypothesis? Give the required condition(s) for using this distribution.

g. At 5% significance level, state the decision rule for the test.

h. Compute the value of the test statistic.

i. Based on the decision rule in part (g) only, what is the statistical decision?

j. Is there sufficient evidence to support the executive's belief?