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 the table shown below. Since all 50 US states are included, this is a population, not a sample.

Variable	N	Mean	StDev	Minimum	Q1	Median	Q3	Maximum
Obese	50	31.43	3.82	23.0	28.6	30.9	34.4	39.5

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(a) What are the mean and the standard deviation? = Enter your answer in accordance to item (a) of the question statement % = Enter your answer in accordance to item (a) of the question statement %

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(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 two decimal places. The largest value: z-score = Enter your answer in accordance to item (b) of the question statement The maximum of 39.5% obese is Enter your answer in accordance to item (b) of the question statement standard deviations Choose the answer from the menu in accordance to item (b) of the question statement abovebelow the mean. The smallest value: z-score = Enter your answer in accordance to item (b) of the question statement The minimum of 23.0% obese is Enter your answer in accordance to item (b) of the question statement standard deviations Choose the answer from the menu in accordance to item (b) of the question statement abovebelow the mean.

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(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 two decimal places. The interval is:Enter your answer in accordance to item (c) of the question statement % toEnter your answer in accordance to item (c) of the question statement % .