A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximately normally distributed with a mean of $29.60 and a standard deviation of $10.50. The formula for normalizing data is: Z = (X-μ / σ) Z is the normal score X is a discrete data value μ is the mean σ is the standard deviation Determine the probability that a customer spent over $35. Enter your answer as a decimal to the hundredths place.

Question

Emmalee Francis

Mathematics

6 April, 23:45

A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximately normally distributed with a mean of $29.60 and a standard deviation of $10.50. The formula for normalizing data is: Z = (X-μ / σ) Z is the normal score X is a discrete data value μ is the mean σ is the standard deviation Determine the probability that a customer spent over $35. Enter your answer as a decimal to the hundredths place.

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Jaidyn Frederick · Answer 1

P (x > 35) = 1 - P (x < 35) = 1 - P[z < (35 - 29.60) / 10.50] = 1 - P (z < 0.5143) = 1 - 0.6965 = 0.3035

Therefore, answer is 0.30 to the hundredths place.