Question

Compute Z-Scores and Use Them to Compare Values From Different Data Sets Question When Stephan moved from Ilinois to Florida, his average monthly electric bill increased from $83 to $102. He is curious to know whether his IL or FL electric bill is relatively more or less expensive, when compared to the distribution of electric bills for each state. In llinois, the mean monthly electric bill s $85, with a standard deviation of $3.20. In Florida, the mean monthly electric bill is $105, with a standard deviation of $4.00. Compute the zscores for Stephan's IL and FL electric bills. Round to three dęcimal places if necessary Provide your answer below: Illinois: z Florida: z

Answer 1

For Illinois:

µ = 85, σ = 3.20, x = 83

z = (x - µ) / σ = (83 - 85)/3.20 = -0.625

For Florida:

µ = 105, σ = 4.00, x = 102

z = (x - µ) / σ = (102 - 105)/4.00 = -0.750