What is the computer output giving descriptive statistics for the percent of the population that is obese for each of the50US states, from theUSStatesdataset, is given in the table shown below. Since all50US states are included, this is a population, not a sample.

Descriptive Statistics: Obese

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum

Obese 50 0 28.766 0.476 3.369 21.300 26.375 29.400 31.150 35.100

(a)What are the mean and the standard deviation?

=%

=%

(b)b) Calculate thez-score for the largest value and interpret it in terms of standard deviations. Do the same for the smallest value.

Round your answers to three decimal places.

The largest value:

z-score=

The maximum of35.1%obese isstandard deviations

above

below

the mean.

The smallest value:

z-score=

The minimum of21.3%obese isstandard deviations

above

below

the mean.

c) This distribution is relatively symmetric and bell-shaped. Give an interval that is likely to contain about95%of the data values.

Round your answers to three decimal places.

The interval is:%to%.