Question
You wish to see if there is a difference in weight between the limes and lemons...
You
wish to see if there is a difference in weight between the limes
and lemons that are sold at your grocery store. You know that the
weights of each are normally distributed. The population standard
deviations are 50 grams for lemons and 40 grams for limes. You
sample 45 lemons, and find a sample average of 135 grams. You
sample 55 limes, and find a sample average of 140 grams. Perform a
hypothesis test at the 0.05 level to see if there is a difference
in weight.
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