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Stat1070 pmba 305 (34 questions answered)

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Stat1070 pmba 305 (34 questions answered) Following questions are answered (See attached word file for full list of 34 Questions)::   SAMPLE: Question 1. [12 marks]   Market research has indicated that customers are likely to bypass Roma tomatoes that weigh less than 70 grams. A produce company produces Roma tomatoes that average 74.0 grams with a standard deviation of 3.2 grams.   (a)   [2 marks] Assuming that the normal distribution is a reasonable model for the weights of these tomatoes, what proportion of Roma tomatoes are currently undersize (less than 70g)?   (b) [2 marks] How much must a Roma tomato weigh to be among the heaviest 10%?   (c ) [2 marks] The aim of the current research is to reduce the proportion of undersized tomatoes to no more than 2%. One way of reducing this proportion is to reduce the standard deviation. If the average size of the tomatoes remains 74.0 grams, what must the target standard deviation be to achieve the 2% goal?   (d) [3 marks] The company claims that the goal of 2% undersized tomatoes is       reached.To test this, a random sample of 25 tomatoes is taken. What is the       distribution of undersized tomatoes in this sample if the company’s claim is true?      Explain your reasoning.       Question 2:  In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies.  They describe ad agency output by finding the shares of dollar billing volume coming from various media categories such as network television, spot television, newspaper, radio, and so forth. Suppose that a random sample of 400 U.S. advertising agencies gives an average percentage share of billing volume from network television equal to 7.46 percent with a standard deviation of 1.42 percent.  Further, suppose that a random sample of 400 U.S. advertising agencies gives an average percentage share of billing volume from spot television commercials equal to 12.44 percent with a standard deviation of 1.55 percent. Using the sample information, does it appear that the mean percentage share of billing volume from spot television commercials for the U.S. advertising agencies is greater than the mean percentage share of billing volume from network television?  Explain.       Module

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