Nathalie is a cinema enthusiast and often spends on movie tickets and streaming subscriptions. The average entertainment expense for individuals like Nathalie in her city is $120 per month with a standard deviation of $15 Last month, Nathalie's entertainment expenses totaled $150 What is the z -score for Nathalie's entertainment expenses last month? Use the following formula to calculate z -score: z is equal to the fraction with numerator x minus mu and denominator sigma where x is the data point, μ is the mean, and σ is the standard deviation.
Answer
A
1 point 5 - no response given
B
0 point 5 - no response given
C
0 - incorrect
D
2 point 0 - not selected, this is the correct answer
Explanation
Use the z-score formula: z = (x − μ) / σ. Substituting Nathalie’s expense, the mean, and the standard deviation gives z = (150 − 120) / 15 = 30 / 15 = 2. Her expenses were 2 standard deviations above the average, so the correct choice is 2.0.
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