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A chocolate factory is planning a new method to make its chocolate. the current method takes...

A chocolate factory is planning a new method to make its chocolate. the current method takes 42.3 minutes on average to assemble a box of chocolate. The mean assembly time for a random sample of 24 boxes of chocolate using the new method was 40.6 minutes and the standard deviation for this sample is 2.7 minutes. Construct a 95% confidence interval for the mean time of assembly using the new method. Afterwards, determine if the new method is faster. Please show all work.
math   Statistics-And-Probability   
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Answer #1

Let X be the assembly time for chocolate box taken by the new method.

The current method takes 40 2.3 minutes on average to assemble a box of chocolate.

Heena random sample of 24 boxes of chocolate using the new method: minutes, s=2.7 minutes.

A 95% confidence interval for the mean time of acidity using the new method is given by:

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