Three assembly lines are used to produce a certain component for an airliner. To

Question

Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is Summary Groups Line A Line B Line C Count Sum 244 283 264 6 6 6 Average 40.66667 47.16667 44.00000 Variance 0.433447 0.201283 0.548064 ANOVA Source of Variation Between Groups Within Groups Total df MS p-value 11.323722 2 5.661861 7.275030 0.006187 11.673880 15 0.778259 22.997602 17 a)Use a 0.05 level of significance to test if there is a difference in the mean production of the three assembly lines. (Round your answer to 2 decimal places.) The critical value is Decision: Reject Ho. The mean production rates are different (b) Identify the center and the range (center +/-range) for a 95% confidence interval for the difference in the means between Line B and Line C. (Round your answers to 2 decimal places.) Confidence interval

Explanation / Answer

To find the F statistics critical value we know the numbratorn and denominator df values

So we are given the 2 and 15 as df

So in table f value is 3.68 for 2 and 15 df

The calculated p-values is 7.27

So we reject the null hypothesis

Ho the mean proportion rates are different

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