Question

The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts

Answer 1

Standard deviation = 3.3

The data point = 178

The mean = 184.7

Further Explanation

To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.

The formula for calculating a Z-score is as follows

$z = \frac{data Point - Mean}{Standard Deviation}$

This also implies

$z = \frac{178 - 184.7}{3.3}$

$Z= -2.03$

therefore, the correct answer is -2.03

A z-score determine the number of standard deviation from the mean a data point is.

some important factors about z-score include:

• if it is a positive z-score, it indicates the data point is above average
• if it is a negative Z-score, it indicates the data point is below average
• if the z-score is close to 0, it then means the data point is close to average
• if the z-score is above 3 or below -3, it is considered to be unusual

Learn More about Z-score at:

brainly.com/question/12876715

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