Question

assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500.what percent of day care cost s are more than $9830?

Answer 1

To find the percentage of day care costs that are more than $9830, we can calculate the z-score and use a standard normal distribution table or calculator.

Step-by-step explanation:

To find the percentage of day care costs that are more than $9830, we need to calculate the z-score for $9830 using the formula:

z = (x - µ) / σ

where x is the value we want to find the percentage for, µ is the mean, and σ is the standard deviation. Substituting the given values, we have:

z = ($9830 - $8000) / $1500 = 1.22

To find the percentage, we can use a standard normal distribution table or a calculator. From the table, we find that the percentage of values that are more than 1.22 standard deviations above the mean is approximately 11.27%. Therefore, approximately 11.27% of day care costs are more than $9830.