Question

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90

Answer 1

Z-score of given data comes to be 4.84.

It is given that:

Mean price of a prom dress μ= $195

Standard deviation σ= 12

Mean of price spent on prom dress out of 20 people X= $208

Sample size n= 20

What is a z-score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score = (X-μ)/(σ/√n)

Where, X = observed value

μ= mean

σ = standard deviation

n =sample size

Z-score of above data = (208-195)/(12/√20)

Z-score = 4.84

Therefore, the Z-score of the given data comes to be 4.84.

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