Question: The statistical mean can be used to measure various aspects of the teen market, including amount spent, age of teenage consumers, etc. Use techniques presented in this chapter to analyze each of the following and discuss the results in the context of the case information.
a) What is the average age of the teenage consumer of the Crescendo Rising Crust Pizza? Suppose that initial beliefs indicate that the mean age is 15. Is this figure really correct? To test whether it is, a researcher randomly contacts 30 teenage consumers of Crescendo Rising Crust Pizza, with results shown in the following output. Discuss the output in terms of a hypothesis test to determine whether the mean age is actually 15. Let alpha = 0.01. Assume that the distribution of the ages of all teenage consumers is mapped as a normal distribution. Mean = 16.92Variance = 30.2963 Observations = 30df = 29t Stat = 1.91P (T>=t) one-tail = 0.0348t Critical one-tail = 2.46P (T>=t) two-tail = 0.0696t Critical two-tail = 2.76
b) What is the average number of frozen pizzas that teens consume per year? Suppose it is hypothesized that the figure is 37 pizzas per year. A research who is knowledgeable of the teenage market claims that this figure is excessive and is prepared to prove it. He randomly selects 20 teens, has them keep a log of foods they eat for one year, and obtains the following figures. Analyze the data using techniques from this chapter and an alpha of 0.05. Assume that the number of frozen pizzas per end-user is a normally distributed variable in the population
numbers given:10, 11, 13, 14, 16, 17, 18, 23, 29, 29, 33, 35, 36, 37, 38, 39, 43, 45, 52, 58