Answer:
The second choice: Approximately of the pretzel bags here will contain between 225 and 245 pretzels.
Explanation:
This explanation uses a z-score table where each entry has two decimal places.
Let represent the mean of a normal distribution of variable . Let be the standard deviation of the distribution. The z-score for the observation would be:
.
In this question,
Calculate the z-score for and . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.
The question is asking for the probability (where is between two values.) In this case, that's the same as .
Keep in mind that the probabilities on many z-table correspond to probability of (where is no greater than one value.) Therefore, apply the identity to rewrite as the difference between two probabilities:
Look up the z-table for and :
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