A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?

–2.67
–1.67
1.67
2.67

Respuesta :

Answer:2.66

Step-by-step explanation:

The z-score for this delivery time is 2.67

What is z-score?

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Given,

Restaurant delivers orders within 30 minutes

The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27

One particular order delivery took 35 minutes(X)= 35

ц = 27

σ = 3

X = 35

z-score = (X-ц )/σ

Substitute the values,

z-score =  (35-27 )/3

z-score = 8/3

z-score = 2.67

Hence, the z-score for this delivery time is 2.67.

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