To find the percentile rank for an individual who consumed 8 cups of coffee per day, we first need to calculate the z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the value we are comparing (in this case, 8 cups of coffee),
μ is the mean (in this case, 5 cups of coffee), and
σ is the standard deviation (in this case, 1.5 cups of coffee).

Substituting the given values into the formula, we get:

Z = (8 - 5) / 1.5 = 2

Now, we need to find the percentile rank associated with a z-score of 2. Looking up a z-score of 2 in the standard normal distribution table (or using a calculator or software that can do this), we find that the percentile rank is approximately 97.72.

So, the percentile rank for an individual who consumed 8 cups of coffee per day is 97.72.

Question

To find the percentile rank for an individual who consumed 8 cups of coffee per day, we first need to calculate the z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the value we are comparing (in this case, 8 cups of coffee),
μ is the mean (in this case, 5 cups of coffee), and
σ is the standard deviation (in this case, 1.5 cups of coffee).

Substituting the given values into the formula, we get:

Z = (8 - 5) / 1.5 = 2

Now, we need to find the percentile rank associated with a z-score of 2. Looking up a z-score of 2 in the standard normal distribution table (or using a calculator or software that can do this), we find that the percentile rank is approximately 97.72.

So, the percentile rank for an individual who consumed 8 cups of coffee per day is 97.72.

Knowee AI · Accepted Answer

To find the percentile rank for an individual who consumed 8 cups of coffee per day, we first need to calculate the z-score. The z-score is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where:
X is the value we are comparing (in this case, 8 cups of coffee),
μ is the mean (in this case, 5 cups of coffee), and
σ is the standard deviation (in this case, 1.5 cups of coffee).

Substituting the given values into the formula, we get:

Z = (8 - 5) / 1.5 = 2

Now, we need to find the percentile rank associated with a z-score of 2. Looking up a z-score of 2 in the standard normal distribution table (or using a calculator or software that can do this), we find that the percentile rank is approximately 97.72.

So, the percentile rank for an individual who consumed 8 cups of coffee per day is 97.72.

Faculty in the psychology department at State University consumes an average of 5 cups of coffee per day with a standard deviation of 1.5. The distribution is normal. What is the percentile rank for an individual who consumed 8 cups of coffee per day?Choose one97.722.2847.72none of these

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