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A department​ store, on​ average, has daily sales of ​$28 comma 286.28. The standard deviation of sales is ​$1 comma 500. On​ Tuesday, the store sold $ 34 comma 924.62 worth of goods. Find​ Tuesday's z score. Was Tuesday an unusually good​ day? Round results to the nearest hundredth.

Respuesta :

Answer:

z-score = 4.43,

It is a Good day

Step-by-step explanation:

The provided information is:

Mean = $28,286.28

Standard deviation = $1,500

Let x be the sell of department store on Tuesday.

Then, x = $34,924.62

The z-score is define as:

[tex]z=\dfrac{x-\mu}{\sigma}\\\\=\dfrac{34924.62-28286.28}{1500}\\\\=4.43[/tex]      

Thus, the Tuesday's z-score is 4.43. So this is usually good day.