Ch 3 Review Worksheet Due 9 1. The website Numbeo.com collected data on the price of milk from a sample of countries around the world in July 2020. The first 5 countries' values are showing as well as the summary statistics of their findings (Source: https://www.numbeo.com/cost-of-living/) Country Albania Algeria Argentina Armenia Australia Milk Price per Liter (U.S. 5) 1.15 0.61 0.85 0.92 1.13 Summary statistics: Column Mean Variance Unadj. variance Mode Median Q1 Q3 Min Max Price per Liter (USS 101 1.219505 0.25162675 0.2491354 0.72 1.09 0.86 1.52 0.42 3.09 a. What is the population?All Countries arond the world b. What is the sample? price of milk What is the sample size? b= 101 c. What type of data is the variable "Country"? (Circle one) Qualitative Quantitative d. What type of data is the variable "Milk Price per Liter"? (Circle one) cantable Qualitative Quantitative e. What is the unit of measurement for the variable "Milk Price per Liter"? f. Are the values found by the computer above parameters or statistics? Explain. g. There are two variances given. Explain which is more appropriate for this data set. MAT 133: Ch. 3 Review WS p.2 h. Find the following (give 3 decimal places, where necessary). Mean: Median: Mode: Standard Deviation: IQR: Lower Fence: Upper Fence: Range: i. Explain how you can tell from the given information that there must be outliers in this data set. 1. Describe the shape of this distribution: (Circle one) Explain your choice. Skewed left Symmetric Uniform Skewed right k. What measures of central tendency and spread should be used when reporting about this data set? Explain. 1. Interpret the mean and standard deviation in the context of the situation. (Include units) m. The U.S. had a milk price in July 2020 of $0.84 per liter. Find the U.S.'s 2-score. What does it mean in this situation? (Give 3 decimal places) Coursepak, 510 MAT 133: Ch. 3 Review WSP3 2. The boxplot shows the payrolls (the total amount paid in salary to all players) for all the major sports teams in the U.S. in 2019, by sport category. (Source: https://www.statista com Major Sports Teams Payrolls in 2019 50 70 30 TO 130 150 170 110 210 2:30 Baseball ( MED Basthall (NBA) Football (NFL Hockey NHL 10 50 70 190 210 210 30 710 130 150 TTO Team Payroll (in millions of dollars) Answer the following (include units where appropriate): a. Which sport had the highest average? b. Which sport had the smallest range? c. Which sport had the largest spread (i.e. IQR)? d. What was the shape of the distribution of Hockey payrolls? e. 25% of baseball payrolls are less than (include units): f. The Dallas Cowboys NFL team had a highest payroll of (include units): 8. Explain using the graph, which sport you think has the largest problems regarding disparity in team payrolls. h. Explain what this graph reveals about the disparity in payrolls between the four major sports (le, comparing the sports to each other), MAT 133: Ch. 3 Review W5 p.4 3. The following distribution shows the yearly income per household for all the households in the U.S. in 2018 (Source: https://www.census.gov Household Income ($) Midpoints Relative Frequency a. Find the midpoints and place Under 15,000 0.102 them in the table. Be careful!!! 15,000 to 24,999 0.089 Class width is NOT consistent in 25,000 to 34,999 0.088 this table. 35,000 to 49,999 0.12 b. Find the mean of the 50,000 to 74.999 0.172 75,000 to 99,999 distribution: 0.125 100,000 to 149,999 0.149 c. Find the standard deviation of 150,000 to 199,999 0.07 the distribution: 200,000 and over 0.085 d. Interpret the mean and standard deviation in the context of the situation. (give units) 4. The birthweight of babies in the U.S. is normally distributed with a mean of 7.17 pounds and a standard deviation 0.83 pounds. (Source: https://www.sinchalatasaras 13.20 a. Draw a reasonable picture of the distribution with parameters and percentages properly marked and labeled, up to 3 standard deviations from the mean. pounds b. Roughly 95% of all newborns weigh between and c. What percentage of newborns weigh less than 5.51 pounds? d. Would it be unusual for a baby to weigh more than 8 pounds? Explain