Question
The mean number of text messages sent per month by customers of a cell phone service provider is 1,350, and the standard deviation is 750.
The mean number of text messages sent per month by customers of a cell phone service provider is 1,350,
and the standard deviation is 750. Find the z-score associated with each of the following numbers of text
messages sent. (Round your answer for part (b) to three decimal places.)
(a) 0
(b) 11,000
(c) 4,500
(d) 300
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Koala Tutor
Koala Ai Support
To find the z-score, we use the formula:
z = (x - μ) / σ
where z is the z-score, x is the number of text messages, μ is the mean, and σ is the standard deviation.
(a) For 0 text messages:
z = (0 - 1350) / 750
z = -1.8
(b) For 11,000 text messages:
z = (11000 - 1350) / 750
z = 13.2
(c) For 4,500 text messages:
z = (4500 - 1350) / 750
z = 4.4
(d) For 300 text messages:
z = (300 - 1350) / 750
z = -1.2
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