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In: Statistics and Probability

The average worker at Acme Labs produces 24 widgets per hour, with a standard deviation of...

The average worker at Acme Labs produces 24 widgets per hour, with a standard deviation of 8 widgets. You have invented a new production process, and you hypothesize that your new process will help workers produce more widgets per hour. After implementing the new production process, you take a sample of workers and measure how many widgets they produce per hour.

a) (2 points) What are the null and alternative hypotheses, in symbols?

b) (2 points) What are the null and alternative hypotheses, in words?

c) (5 points) The average number of widgets produced per hour by a sample of 80 workers turns out to be 26. Calculate the test statistic for this hypothesis test and find the p-value.

d) (4 points) At an alpha level of .05, do we have evidence that the new production process really increases productivity? Explain your reasoning.

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orchestra answered 1 year ago
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