Chapter 2, Section 3, Exercise 096 Percent Obese by State Computer output giving

Question

Chapter 2, Section 3, Exercise 096 Percent Obese by State Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the USStates dataset, is given in Figure 1 shown below. Since all 50 US 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 24.552 0.431 3.044 17.800 22.175 24.400 26.825 30.900 Figure 1 Percent of the population that is obese by state Click here for the dataset associated with this question. . (a) What are the mean and the standard deviation? mu= ... % =... % (b) Calculate the z-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 of 30.9 % obese is ... standard deviations ...the mean. The smallest value: z-score = ... The minimum of 17.8 % obese is ... standard deviations the mean. (c) This distribution is relatively symmetric and bell-shaped. Give an interval that is likely to contain about 95 % of the data values. Round your answers to three decimal places. The interval is: ... % to ... %.

Explanation / Answer

Result:

Chapter 2, Section 3, Exercise 096 Percent Obese by State Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the USStates dataset, is given in Figure 1 shown below. Since all 50 US 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 24.552   0.431     3.044       17.800        22.175    24.400 26.825 30.900

Figure 1 Percent of the population that is obese by state Click here for the dataset associated with this question. .

The largest value: z-score = 0.75 The maximum of 30.9 % obese is 0.75 standard deviations above the mean.

The smallest value: z-score = -2.22 The minimum of 17.8 % obese is 2.22 standard deviations below the mean.

   ( mean-2*sd, mean+2*sd) =(24.552-2*3.044, 24.552+2*3.044)

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