Consider the following frequency distribution, known as standard normal. As a wildlife scientist you are tasked with measuring the pollutant concentration of oysters in Oyster Bay. After sampling 1000 oysters you conclude the concentration of pollutants follows a normal distribution (like the one shown but with its own mean and standard deviation). Approximately how many of the oysters sampled fall within 1 standard deviation of the mean? one standard deviation -3 -1 About 50 oysters. About 950 oysters. About 3 oysters. About 500 oysters. About 680 oysters. 68% of data 95% of data 99.7% of data 0 1 2 3

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Consider the following frequency distribution, known as standard normal. As a wildlife
scientist you are tasked with measuring the pollutant concentration of oysters in Oyster
Bay. After sampling 1000 oysters you conclude the concentration of pollutants follows a
normal distribution (like the one shown but with its own mean and standard deviation).
Approximately how many of the oysters sampled fall within 1 standard deviation of the
mean?
one standard
deviation
-2
-1
About 50 oysters.
About 950 oysters.
About 3 oysters.
About 500 oysters.
About 680 oysters.
68% of data
95% of data
99.7% of data
0
1
2
3
Transcribed Image Text:Consider the following frequency distribution, known as standard normal. As a wildlife scientist you are tasked with measuring the pollutant concentration of oysters in Oyster Bay. After sampling 1000 oysters you conclude the concentration of pollutants follows a normal distribution (like the one shown but with its own mean and standard deviation). Approximately how many of the oysters sampled fall within 1 standard deviation of the mean? one standard deviation -2 -1 About 50 oysters. About 950 oysters. About 3 oysters. About 500 oysters. About 680 oysters. 68% of data 95% of data 99.7% of data 0 1 2 3
Expert Solution
Step 1

Given that,

The random variable X is the pollutant concentration of oysters in Oyster Bay.

It is normally distributed.

The sample size is 1000.

The empirical rule is as follows.

For the normally distributed data, 68% of the data falls within one standard deviation of the mean, 95% of the data falls within 2 standard deviations of the mean and 99.7% of the data falls within3 standard deviations of the mean.

 

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