Question

In the United States, the mean yearly precipitation in Toledo, Ohio is 51 inches. The yearly precipitation is normally distributed and the population standard deviation is 10.84 inches. If we randomly sampled 86 years, what is the probability that the mean precipitation is between 52 inches and 54 inches? (5 points)

μ

=  inches

σ

=  inches

? x̄ x

=

Select an answer The precipitation in inches of a randomly selected year. The mean percipitation in inches of randomly selected years.

P(

? > ≥ < ≤ =  ? x x̄  ? > ≥ < ≤ =  

)

Now select your normal distribution curve with the correct fence(s) and shading and answer the questions below.

For this problem, will we use invNorm() or normalcdf()? Please explain.

Select an answer invNorm() because we need to find our z-value(s) invNorm() because we need find our area (probability) normalcdf() because we need find our area (probability) normalcdf() because we need to find our z-value(s)

Express the answer in words by completing the following sentence below (lowest to highest).

The probability that Select an answer the mean precipitation is the average percipitation is the percipitation for one year is  between  inches and  inches is %.

Answer 1