STAT_1 ZB_Practice Score: 91'15 3/7 answered 0 Question 1 v Golf is a club-and-ball sport in which players use various clubs to hit balls into a series of holes on a golf course in as few strokes as possible. Each player drives a golf ball off a wooden tee at the start and eventually putts the ball on a soft grass surface into a hole. In golf, you are ata considerable advantage if you can drive the golf ball far. As professional golfers gain more experience and technology continues to improve, it makes sense to assume that professional golfers are driving the ball farther year after year. To test this theory, researchers set out to see if professional golfers are driving the golf ball noticeably further than they were three years prior. Data were collected from 111 male professional golf players.1 Their average driving distances off the tee (in yards) in 2015 and in 2018 were recorded, and the changes in their average driving distances from 2015 to 2018 were calculated (using order of subtraction 2018 2015). Call the change in average driving distance from 2015to 2018 each player's "improvement score." 1PGA tour data. (2019). Kaggle. Retrieved from h_ttps:/lwww.kaggle.coml'mpark746/pga-tou r-data-201 0- 2018 Score on last try: 2 of4 pts. See Details for more. > Next question You can retry this question below Go to the DCMP Explore Quantitative Data tool at https:i/dcmathpathwaysshinyappsio/EDA quantitative! :. 0 Open spreadsheet DCMP STAT 128 PGA Data :. 0 Select "Your Own" under \"Enter Data." 0 Enter a descriptive name for the variable (e.g., Improvement Score). . Copy and paste the 111 Improvement Scores and enter the variable name "Improvement" into the tool. Part A: Examine the histogram, boxplot, dotplot, and summary statistics ofthese data. Write a few sentences describing the features ofthe data distribution. Address the shape, center, spread, and outliers, E A'Avo Edit' lnsert' Formats' B I H X _ 5.2 E @' 2* 2 PH X Levee ac Part A: Examine the histogram, boxplot, dotplot, and summary statistics of these data. Write a few sentences describing the features of the data distribution. Address the shape, center, spread, and outliers. Edit * Insert Formats B I U X X A A e Part B: What is the sample mean improvement score? What is the appropriate symbol for this value? Round to the nearest hundredth. x vv of = Part C: What is the sample standard deviation? What is the appropriate symbol for this value? Round to the nearest hundredth. Part D: Which of the following is a correct interpretation of the standard deviation from Part C in the context of the problem? The average improvement score for male professional golfers in this sample is 4.85 yards. O Every male professional golfer in this sample will have an individual improvement score that is 4.85 yards away from the mean improvement score of 3.72 yards. The typical difference between an individual improvement score for a male professional golfer in this sample and the mean improvement score of 3.72 yards is 4.85 yards. O About 50% of individual improvement scores for male professional golfers in this sample are within 4.85 yards of the mean improvement score of 3.72 yards.STAT_1 ZB_Practice Score: SH 5 31'? answered 0 Question 2 v Score on last try: 1 of3 pts. See Details for more. > Next question You can retry this question below Now, let's estimate the sampling variability of the sample mean improvement score across different samples of 111 male professional golfers. Part A: Use the summary statistics from the sample data to calculate the standard error of the sample mean. Round to three decimal places Standard error 2 Part B: Which of the following is a correct interpretation ofthe standard error ofthe sample mean from Part A? 0 About 50% of samples of 111 male professional golfers will yield a sample mean improvement score that is 0.460 yards away from the population mean improvement score. 0 Every sample of 111 male professional golfers will have a mean improvement score that is 0.460 yards away from the population mean improvement score. The typical difference between a mean improvement score in a sample of 111 male professional golfers and the population mean improvement score is 0.460 yards. 0 The average sample mean improvement score across all samples of 111 male professional golfers is 0.460 yards. do\" Part C: Explain the key differences in how the interpretation of the standard error in Part B differs from the interpretation of the sample standard deviation in Question 1, Part D. Edit Insert Formats BIUX, X A E E wr- E Calculator Submit QuestionSTAT_1ZB_Practice Score: 9/15 3/7 answered 0 Question 3 ' Score on last try: 0.5 0H pts. See Details for more. > Next question You can retry this question below How many standard errors away from 0 is the observed sample mean? Round to the nearest hundredth. ' lstandard deviations above v V 0. E Calculator STAT_1 ZB_Practice Score: 9/15 3/7 answered _> Score on last try: 1 of1 pts. See Details for more. > Next question Are the conditions met to use a t Distribution to approximate the distribution of the t-statistic? Fill in the blanks Yes v '/ cf ; even though the data distribution is not normal v V o\" , it is not severely skewed and the sample size is large v V d\" . E Calculator Submit Question STAT_'l ZB_Practice Score: 9/15 3/7 answered X Question 5 v Next question You can retry this question below What degrees of freedom should you use when calculating probabilities from a t Distribution for these data? degrees of freedom E Calculator STAT_1 ZB_Practice Score: 9'15 317 answered 0 Question 6 - Score on last try: 0.5 of 1 pts. See Details for more. > Next question You can retry this question below Assuming there was no true change in male professional golfers' average driving distances from 2015 to 2018 (Le, the true mean improvement score was equal to 0), use the appropriate t Distribution to calculate the probability of observing the sample mean from Question \"I, Part B or something larger. What does this result suggest about the theory that professional golfers are driving the ball farther year after year? Fill in the blanks. The probability of observing or higher on a t Distribution with degrees of freedom is approximately V o" .This probability supports V V o' the theorythat professional golfers are driving the ball farther year after year. E Calculator