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Answer:
The 95% confidence interval for the mean weight per apple is between 119.14 and 125.86 grams per apple. This means that we are 95% sure that the true mean weight per apple for all the apples they ship is between 119.14 and 125.86 grams per apple.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 122.5 - 3.36 = 119.14 grams per apple
The upper end of the interval is the sample mean added to M. So it is 122.5 + 3.36 = 125.86 grams per apple
The 95% confidence interval for the mean weight per apple is between 119.14 and 125.86 grams per apple. This means that we are 95% sure that the true mean weight per apple for all the apples they ship is between 119.14 and 125.86 grams per apple.