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 I Brand II 19 Brand III 25 22 24 18 23 24 20 21 (a) Construct ANOVA table mentioning all necessary columns for this example. (b) At 1% significance level, test the null hypothesis that the mean lifetime of bulbs for each of three brands is the same.

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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 I
Brand II
Brand III
22
19
25
24
23
24
18
21
20
(a) Construct ANOVA table mentioning all necessary columns for this example.
(b) At 1% significance level, test the null hypothesis that the mean lifetime of bulbs for each
of three brands is the same.
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 I Brand II Brand III 22 19 25 24 23 24 18 21 20 (a) Construct ANOVA table mentioning all necessary columns for this example. (b) At 1% significance level, test the null hypothesis that the mean lifetime of bulbs for each of three brands is the same.
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