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document.write( "The number of treats Addie the cat beats per minute is normally distributed with\r\n" );
document.write( "a mean of 400 treats and a standard deviation of 120 treats. Determine the\r\n" );
document.write( "following: If 21 minutes are selected at random, what is the probability that\r\n" );
document.write( "the mean number of treats consumed exceeded 440 treats?\r\n" );
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document.write( "Calculate the standard error of the mean First, we need to find the standard\r\n" );
document.write( "error of the mean, which is the standard deviation of the sampling distribution.\r\n" );
document.write( "The formula is \r\n" );
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document.write( "
where 
is the population standard deviation and 
is the sample size.\r\n" );
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approximately.\r\n" );
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document.write( "Calculate the Z-score\r\n" );
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,\r\n" );
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document.write( "where xbar is the sample mean, 
is the population mean, and is the standard error. \r\n" );
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document.write( "
, approximately\r\n" );
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document.write( "We find the probability that the mean number of treats exceeded 440, which\r\n" );
document.write( "corresponds to the area to the right of the calculated z-score. Using a \r\n" );
document.write( "standard normal distribution table or calculator, the probability of a \r\n" );
document.write( "z-score being less than 1.527 is approximately 0.9366. Therefore, the\r\n" );
document.write( "probability of it being greater than 1.527 is:\r\n" );
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\r\n" );
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document.write( "Answer: 0.0634\r\n" );
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document.write( "Edwin
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
