Four brands of lightbulbs are being considered for use in the final assembly are

Question

Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborm, Michigan The director of purchasing asked for samples of 200 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 005 significance level, is there a difference in the quality of the bulbs? Manufacturer Unacceptable Acceptable Total 14 168186 32 23 191177 200 280 200 Click here for the Excel Data File He There is no relationship between quality and manufacturer H: There is a relationship. State the decision rule using 0.05 significance level. (Round your answer to 3 decimal places) Compute the value of chi-square. (Round your answer to 3 decimal places.) What is your decision regarding Ho? Horhe eis vffic en-- evidenceto con lutet atarelationship. stsbetween uali yandman acturer Reject

Explanation / Answer

Hello

(a) Significance Level = 0.05, Degree of freedom = (2-1)(4-1) = 3.

Hence, using the table of chi-squared distribution for the given probability and df, we obtain X20.05,3 =7.815.

Hence, answer for (a) is 7.815

(b)

Hence, chi-square is 17.558.

(c) As 17.558 > 7.815, hence, REJECT the hypothesis and conclude that there is sufficient evidence to reject the null.

I hope this takes you through.

Feel free to comment if you still have any doubt.

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Observed A B C D Total Unacceptable 32 14 9 23 78 Acceptable 168 186 191 177 722 Total 200 200 200 200 800

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