2. Suppose that the amount of protein in certain type of energy bar is Normally Distributed with a mean of 8.5 grams with a standard deviation of 0.45 grams. Suppose that a random bar of this type is selected.

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**Understanding Protein Distribution in Energy Bars**

Let's explore the distribution of protein content in a specific type of energy bar. The protein amount in these bars is assumed to follow a normal distribution, which is a common pattern for many natural occurrences. This distribution has a mean (average) of 8.5 grams and a standard deviation of 0.45 grams.

If we randomly select an energy bar of this type, we can use this information to understand the likelihood of its protein content deviating from the average. This statistical model allows us to predict and analyze variations within a specific range, enhancing our understanding of consistency in product manufacturing.

For a deeper dive into how normal distributions work and how they can be applied in practical scenarios, continue exploring our educational resources on statistical models.
Transcribed Image Text:**Understanding Protein Distribution in Energy Bars** Let's explore the distribution of protein content in a specific type of energy bar. The protein amount in these bars is assumed to follow a normal distribution, which is a common pattern for many natural occurrences. This distribution has a mean (average) of 8.5 grams and a standard deviation of 0.45 grams. If we randomly select an energy bar of this type, we can use this information to understand the likelihood of its protein content deviating from the average. This statistical model allows us to predict and analyze variations within a specific range, enhancing our understanding of consistency in product manufacturing. For a deeper dive into how normal distributions work and how they can be applied in practical scenarios, continue exploring our educational resources on statistical models.
d. Find the 90th percentile of the grams of protein in these bars.

e. Find the values v and w such that the middle 90% of protein amounts fall between v and w.
Transcribed Image Text:d. Find the 90th percentile of the grams of protein in these bars. e. Find the values v and w such that the middle 90% of protein amounts fall between v and w.
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For part d, I see how you get the final answer with excel, but what I'm not understanding is the steps leading up to that answer. Specifically, where does the 1.282 comes from and how do you use the table to obtain that value because I'm not getting the same value.

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