Asurvey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population? $675 and $1,500 $675 and $1,775 $950 and $1,500 $950 and $1,775

$675 and $1,775  

Step-by-step explanation:

In a normal distribution, data follows the empirical rule.  This states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.

Since we are asked which two amounts 95% of data would fall between, we need to find the two values that are two standard deviations from the mean.

The standard deviation is 275; two standard deviations would then be 2(275) = 550.

550 below the mean would be 1225-550 = 675.

550 above the mean would be 1225+550 = 1775.

This means the two amounts are 675 and 1775.

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step-by-step explanation:

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