Calculate confidence interval for mean percentage share

Reference no: EM13123975

In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by binding the shares of dollar billing volume coming from various media categories such as network television, spot television, newspapers, radio, and so forth.

a. Suppose that a random sample of 400 US advertising agencies gives an average percentage share of billing volume from network television equal to 7.46 percent, and assume that σ equals 1.42 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all US advertising agencies.

b. Suppose that a random sample of 400 US advertising agencies gives an average percentage share of billing volume from spot television commercials equal to 12.44 percent, and assume that σ equals 1.55 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from spot television commercials for the population of all SU advertising agencies.

c. Compare the confidence intervals in parts a and b. Does it appear that the mean percentage share of billing volume from spot television commercials for US advertising agencies is greater than the mean percentage share of billing volume from network television? Explain.

Reference no: EM13123975

Questions Cloud

Interpersonal communication : Oral Communication in English: Forms, Functions, and Strategies in the Malaysian Context. 1. Introduction, 2. The Oral Communication Process, 3. Interpersonal Communication, 4. Small Group Communication, 5. Public Communication 6. Conclusion

How many moles of oxygen could be produce : potassiumm chlorate (KClO3) decomposes to form potassium chloride and oxygen gas. if 5.4 moles of potassium chlorate decompose, how many moles of oxygen could be produce.

Spanning sets and basis : Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?

Scalar multiplication and matrix multiplication : What's the difference between scalar multiplication and matrix multiplication? What would be an example of the two? Indicate whether the matrix is in row-reduced form.

Calculate confidence interval for mean percentage share : Calculate a 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all US advertising agencies.

Find out johns income tax liability : He also paid $14,000 in mortgage interest, $1,800 in property taxes, $300 of credit card interest, and $1400 in job hunting expenses when he tried to change jobs in March. Find out Johns income tax liability for 2009 before any allowable credits.

What is ?h for the formation of one mole of al2o3(s) : Consider the reaction 2 Al2O3(s) → 4 Al(s) + 3 O2(g). ?H = +3339.6 kJ/mol What is ?H for the formation of one mole of Al2O3(s) from the elements

Issue of linear equality in variable linear equation : You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.

Creating competitive advantage : If a firm decided to reevaluate and reorganize the way it did business, in hopes of creating competitive advantage, by changing or decreasing jobs, the company would be using which of the following management technique?

User Account

All Pages