2. Which of the following statements defines the 97.5th percentile value for a data sample, regardless of the shape of the data distribution? a. The value such that 2.5% of the observations in the sample are greater than (or equal to) this value, and 97.5% of the observations in the sample are less than or equal to this value. b. The value such that 97.5% of the observations in the sample are greater than (or equal to) this value, and 2.5% of the observations in the sample are less than or equal to this value. c. The sample mean minus 2 standard deviations. aboutzblank 9\" H22, 5:06 PM Statistical Reasoning in Public Health I - Quiz d. The sample mean plus 2 standard deviations. 3. This following histogram shows the distribution of (first, for the year) health inspection scores [on a scale of 0-100, with 100 being the highest possible score) on restaurants inspected in Austin, Texas (USA) from January through August 2022. All restaurants in Austin are inspected at least once every calendar year. All values shown are from the rst inspection made in this time period. Also included in the graphic are summary statistics for this sample of inspection scores. Restaurant hum Scon- Jamm-y 1- August 31. 2022 Austin. Total US 'l Sample Summary Statistics {ll-5,0142 "' Mean i E }; 90.4 Standard Deviation (s): 8.0 Range: 4410 IOU E Pcrccntilcs: 3 3'\" 1 72 as g 10" 80 l l\": 8] g 50": 92 g 75\":% 89\" :99 90" :100 97\" :lOO so so to in an in: mm Scot-u lulu-m own- too; Which of the following statements best describes the \"story" of restaurant inspection scores in January 2022 through August 2022, as told by the histogram, and the summary statistics? a. The percentage of restaurants receiving a given score was relatively similar for all values across the range of inspection scores In. The majority of restaurants received relatively low inspection scores ( 90) and a smaller percentage had lower scores than this majority d. Since so many restaurants received a perfect score of 100 {at least 11% of those inspected), it is clear that some restaurant owners were bribing the inspector assigned to them. 1 point 'Ii15 1 point