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A telecommunications company commissioned a study to investigate the amount of time that people spend on phone calls. The study that found that the length of time that people spend on a phone call is approximately normally distributed with a mean of 519 seconds and a standard deviation of 104.7 seconds. Calculate the standardized value (z) for a time of 630 seconds. Give your answer to 2 decimal places

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MrRoyal

Answer:

[tex]z = 1.06[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 519[/tex] -- Mean

[tex]\sigma = 104.7[/tex] --- Standard Deviation

[tex]x = 630[/tex] --- Time

Required

Determine the standardized value (z)

The standardized value (z) is calculated using:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

This gives:

[tex]z = \frac{630 - 519}{104.7}[/tex]

[tex]z = \frac{111}{104.7}[/tex]

[tex]z = 1.06017191977[/tex]

[tex]z = 1.06[/tex] --- approximated

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