THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 147

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You have recently joined a country club.Suppose that the number of times you expect to play golf in a month is represented by a normally distributed random variable with a mean of 10 and a standard deviation of 2.4.
-The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4.For a particular sample size,the probability that the sample mean exceeds 300 is 0.2.How big must the sample be?

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Definitions:

Z-Score

Represents how many standard deviations an element is from the mean, providing a way to compare data points across different scales.

Z-Scores

A measure indicating how many standard deviations an element is from the mean.

Z-Score

A statistical measure that describes a value's relationship to the mean of a group of values, measured in terms of standard deviations from the mean.

Z-Scores

Standardized scores that indicate how many standard deviations an observation is from the mean of a distribution.