MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

BUS-173 (Applied Statistics)

Q2. A large company buys thousands of light bulbs every year. The company is currently considering three brands of light bulbs to choose from. Before the company decides which light bulbs to buy, it wants to investigate if the mean lifetimes of the three types of light bulbs are the same. The company's research department randomly selected a few bulbs of each type and tested them. The following table lists the number of hours (in thousands) that each of the bulbs in each brand lasted before being burned out. Brand III Brand I 20 24 Brand II 22 23 23 24 18 21 20 22 25 At 5% significance level, test the null hypothesis that the mean lifetime of bulbs for each of three brands is the same. Also Construct ANOVA table mentioning all necessary columns for this example. Q3. The Mum Water Company produces and distributes Mum bottled water in Bangladesh. The company wants to determine whether customers have a higher preference for its bottled water than for its main competitor, Fresh bottled water. The Mum Water Company hired a statistician to conduct this study. The statistician selected a random sample of 10 people and asked each of them to taste one sample of each of the two brands of water. The customers did not know the brand of each water sample. Also, the order in which each person tasted the two brands of water was determined randomly. Each person was asked to indicate which of the two samples of water he or she preferred. The following table shows the preferences of these 10 individuals. Page 1 of 2 Person Brand Preferred Mum Mum 3 Mum 4 Mum 5 Mum Fresh 7 Mum Neither Mum 8 9 10 Mum Based on these results, can the statistician conclude that people prefer the Mum brand of bottled water over the Fresh? Test at 5% significance level with appropriate null and alternative hypotheses mentioning all six necessary steps.
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Transcribed Image Text:Q2. A large company buys thousands of light bulbs every year. The company is currently considering three brands of light bulbs to choose from. Before the company decides which light bulbs to buy, it wants to investigate if the mean lifetimes of the three types of light bulbs are the same. The company's research department randomly selected a few bulbs of each type and tested them. The following table lists the number of hours (in thousands) that each of the bulbs in each brand lasted before being burned out. Brand III Brand I 20 24 Brand II 22 23 23 24 18 21 20 22 25 At 5% significance level, test the null hypothesis that the mean lifetime of bulbs for each of three brands is the same. Also Construct ANOVA table mentioning all necessary columns for this example. Q3. The Mum Water Company produces and distributes Mum bottled water in Bangladesh. The company wants to determine whether customers have a higher preference for its bottled water than for its main competitor, Fresh bottled water. The Mum Water Company hired a statistician to conduct this study. The statistician selected a random sample of 10 people and asked each of them to taste one sample of each of the two brands of water. The customers did not know the brand of each water sample. Also, the order in which each person tasted the two brands of water was determined randomly. Each person was asked to indicate which of the two samples of water he or she preferred. The following table shows the preferences of these 10 individuals. Page 1 of 2 Person Brand Preferred Mum Mum 3 Mum 4 Mum 5 Mum Fresh 7 Mum Neither Mum 8 9 10 Mum Based on these results, can the statistician conclude that people prefer the Mum brand of bottled water over the Fresh? Test at 5% significance level with appropriate null and alternative hypotheses mentioning all six necessary steps.
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