a survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation…

a survey 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 surveys respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?\n\n$675 and $1,500\n$675 and $1,775\n$950 and $1,500\n$950 and $1,775

a survey 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 surveys respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?\n\n$675 and $1,500\n$675 and $1,775\n$950 and $1,500\n$950 and $1,775

Answer

Explanation:

Step1: Recall the empirical rule for normal distribution

For a normal - distribution, about 95% of the data lies within 2 standard deviations of the mean.

Step2: Calculate the lower bound

The mean $\mu = 1225$ and the standard deviation $\sigma=275$. The lower bound is $\mu - 2\sigma=1225-2\times275=1225 - 550 = 675$.

Step3: Calculate the upper bound

The upper bound is $\mu + 2\sigma=1225+2\times275=1225 + 550 = 1775$.

Answer:

$675$ and $1775$, so the answer is: $675$ and $1775$ (corresponding to the second option in the multiple - choice list).