UF#Stats#Club#STA##Exam##Review#Packet# #Fall## The following data consists of the scores the Gators basketball team scored during the 8 games played in the - season. 84 74 66 58 79 8 7 64 8 6 78 79 77 74 68 8 64 8 75 78 69 8 69 8 6 7 58 64 66 57 8 6 6 79 78 6 59. Construct a stemplot of the data.. What is the best description for the shape of this graph?. What is the median? 4. Does this graph have an outlier?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## The following stemplot consists of the weights of the Gators football players. Stem-and-Leaf of weights of football players N= Leaf Unit =. 5 6 47 7 578 8 45555578 9 4567888 455668 4455999 455668 5788899 4 46 5 578 6 6 7 8 55 9 7 4556 556 5 5 6 5. What is the best description for the shape of this graph?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## 6. Construct a histogram using the stemplot for reference. 4 9 8 7 6 5 4 5 6 7 8 9 4 5 6 7 8 9 4 5 6 7 7. Does this graph have an outlier? 8. What interval would be considered the mode? 9. What is the center of this graph?. About how many football players weigh less than 5 pounds?. About how many football players weigh between and pounds?
4 UF#Stats#Club#STA##Exam##Review#Packet# #Fall## The data below represents the number of hits in each of the Gator baseball games during the season. 7 5 6 7 9 8 9 9 8 9 6 5 6 9 9 9 6 8 7 7 8 5 7 7 8 7 8 7 7 6 4 8 7 7 9 4 9 5 5. Create a dotplot representing the data above. 4 5 6 7 8 9 4 5 6 7 8 9. What is the best description for the shape of this graph? 4. Does this graph have an outlier? 5. What is the mode and how many games share the same amount of hits?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## 5 The data below represents the heights (in inches) of the Gators volleyball players. 74 7 7 7 7 7 7 74 74 66 66 67 7 7 67 6. Create a box-and-whisker plot representing the data above. 7. What is the median? 8. What is the range? 9. What is the IQR?. What is the mean?. What is the standard deviation?
6 UF#Stats#Club#STA##Exam##Review#Packet# #Fall## From to the, psychology majors averaged a 5 with a standard deviation of 7 on the verbal section of the GRE. Use this information for the following questions.. Draw out a bell curve representing the information.. What is the probability that a randomly selected student earns a score between 8 and 66? 4. What is the probability that a randomly selected student scores higher than a 7? 5. Suppose a randomly selected student earns a 7 on the exam. What is the z- score that corresponds to this score? 6. Suppose a randomly selected student s score corresponds to a -.67 z-score. What did the student earn on the exam?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## 7 Randomly selected students at the University of Florida were asked what their favorite colors were. Below is a contingency table representing those numbers. Use the table below to answer the following questions. Blue Red Yellow Orange Purple Total Male 7 94 Female 8 6 4 8 6 Total 9 5 7 9 48 6 7. What is the conditional proportion of females whose favorite color is orange? 8. What is the proportion of students whose favorite color is purple? 9. What is the conditional proportion of students whose favorite color is red given they are male?. What is the proportion of students whose favorite colors are blue and orange?. What is the conditional proportion of males whose favorite color is not yellow?
8 UF#Stats#Club#STA##Exam##Review#Packet# #Fall## Suppose you are doing research in order to better your study habits. You gather some data regarding the amount of time spent studying and the grades you earn. You decided to fit a regression line and get the following based off your data "#$% = 68. +.6("#$%) = 74.54%. What is the proper interpretation of the slope?. What is the proper interpretation of the intercept? 4. What is the correlation between the two variables? 5. Suppose you study hours and receive an 85. on an exam. What is the residual? 6. Suppose you plan on studying for 6 hours for your next exam. What grade do you expect to earn? 7. Suppose one weekend you decide that you are not going to go out. Instead, you are going to study A LOT. On Friday night you study for 4 hours, on Saturday for another 6, and on Sunday you study for 8. What grade do you expect to earn? Is this a valid prediction?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## 9 Gatorade is trying to improve their products and make their drinks tailored towards specific workouts. They choose the Gators men s track and field to test out their newest drink. They randomly select athletes. Half of them receive Gatorade and the others are the placebo group. All of them run the m dash and their times are recorded. They then have to do as many sit-ups as they can in one minute. The group drinking Gatorade during the workout sequence did significantly better in both workouts. 8. Explanatory variable? 9. Response variable? 4. Factors? 4. Levels? 4. Treatments? 4. Replications?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## The University of Florida wants to study how high school GPA s compare to college GPA s. Let x represent high school GPAs and let y represent college GPAs. A researcher plots the data out. Here are his quantities: =.6 =.56 =.4 =.8 =. 44. What is the slope of the line? 45. Compute the least-squares regression line. 46. What is the correct interpretation of the slope? 47. What is the correct interpretation of the intercept? Is it interpretable? 48. Using the line you computed, what can a high school student with a.95 GPA expect to receive in college? 49. If a high school student with a GPA of.86 earns a.9 GPA in college, what is the residual value?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## Your final exam is at 7:5 in the morning. In order to make sure you don t miss it, you decide to put 5 alarms. Assume the alarms are independent and the probability of any one alarm not going off is.8. 5. What is the probability that you will not miss the exam? 5. What is the probability that you will miss the exam? 5. What is the probability that exactly one alarm will go off? 5. What is the probability that all the alarms will go off? M&M places a gold M&M in 5% of their snack size bags. If you find a gold M&M, you win M&Ms for life. You buy snack size bags. Assume the bags are independent. 54. What is the probability that all have a gold M&M? 55. What is the probability that none have a gold M&M? 56. What is the probability that at least one has a gold M&M? 57. What is the probability that all but one has a gold M&M?
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## You own a hybrid car. Its MPG averages between 7-4 MPG. Below is the probability distribution for the MPG your car runs at. 7 8 9 4 4 4 ().9.7...4.5 58. What is the probability your car will average at least 4 MPG? 59. What is the probability your car will average over 4 MPG? 6. What is the expected average MPG? 6. The Swamp Party and the Student s Party are the two major student government groups on campus. Suppose someone did an election poll and asked students what party they belonged to. What is the margin of error? 6. What numbers can range between? 6. What kinds of variables are these? a. Color f. Zip code b. ID g. Year in college c. Age h. Major d. GPA i. Number of credits taking e. Hometown j. Number of hours slept
UF#Stats#Club#STA##Exam##Review#Packet# #Fall## Every year, students at a high school must take a standardized test in order to measure their progress. The exam scores range from to. The average score is a 75 with a standard deviation of.5. Use this information to answer the following questions. 64. Draw a bell curve displaying the information. 65. What score does a student need to earn in order to be considered part of the top %? 66. What scores does a student need to earn in order to be part of the middle 5%? 67. What is the probability a student will score a 9 or above? 68. What is the probability a student will score a 4 or below? 69. What is the probability a student will score between a 6 and an 8?
4 UF#Stats#Club#STA##Exam##Review#Packet# #Fall## ACT composite scores average a with a standard deviation of 4.7. 7. Draw a bell curve displaying the information. 7. What score does a student need to earn in order to be considered part of the top 5%? 7. What scores does a student need to earn in order to be part of the middle 5%? 7. What is the probability a student will score a 8 or above? 74. What is the probability a student will score a 5 or below? 75. What is the probability a student will score between a and a?