A survey by the national retail federation found that women spend on average r146. 21 on a saturday lunch. Assume the standard deviation is r29. 44. Find the percentage of women who spend less than r160. 00 on a saturday lunch. Assume the variable is normally distributed.

Respuesta :

0.68 is the variable is normally distributed when standard deviation is r29. 44.

What is standard deviation in math?

  • Your dataset's average level of variability is represented by the standard deviation.
  • It reveals the average deviation of each statistic from the mean.
  • A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.

μ = 146.21   σ = 23.44         x ~ n

P{ x < 160 } = ρ{ x - μ/σ < 160 - 146.21/29.44 }

                   = ρ{ z < 0.47 }

                    = 0.6808

                    ≈ 0.68

Learn more about standard deviation

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