Four brands of lightbulbs are being considered for use in the final assembly are
ID: 3251547 • Letter: F
Question
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 175 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 0.05 significance level, is there a difference in the quality of the bulbs? (Round your answers to 3 decimal places.)
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 175 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 0.05 significance level, is there a difference in the quality of the bulbs? (Round your answers to 3 decimal places.)
Explanation / Answer
Degree of freedom = (r-1)(c-1) = (2-1)*(4-1) = 1*3 = 3
Reject H0 if X2 > 7.8147
Expected counts: Ei,j = (Row i total*Column j total)/sample size
The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].
Chi square = 17.23
Since chi square > critical chi square, reject null hypothesis and there is sufficient evidence to suggest there is a relationship between quality and manufacturer
A B C D Row Totals Unacceptable 26 (28.50) [0.22] 14 (28.50) [7.38] 32 (28.50) [0.43] 42 (28.50) [6.39] 114 Acceptable 149 (146.50) [0.04] 161 (146.50) [1.44] 143 (146.50) [0.08] 133 (146.50) [1.24] 586 Column Totals 175 175 175 175 700 (Grand Total)Related Questions
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