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In a textile manufacturing process, the average time taken is 6.4 hours. An innovation which, it...

In a textile manufacturing process, the average time taken is 6.4 hours. An innovation which, it is hoped, will streamline the process and reduce the time, is introduced. A series of 8 trials used the modified process and produced the following results: 6.1 5.9 6.3 6.5 6.2 6.0 6.4 6.2. Using 5% significance level, decide whether the innovation has succeeded in reducing average process time using the confidence interval approach

Math   Statistics-And-Probability   
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Answer #1

Solution: The mean and standard deviation of the given data is:

  

  

The 95% confidence interval is:

Where:

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