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MATH 2000 Homework 1 nSuppose that you randomly selected 50 students at GGC and collected data on the following five variables U: Number of courses the student is taking this V: The students class X: The number of hours per week the student plans to study Y: The total cost of textbooks Z: Method of payment for textbook Questions: a) What is the population? b) Is the population finite or infinite? c) What is the sample? d) Classify the five variables as either discrete, continuous, nominal or ordinal aClassify the following variables as either discrete, continuous, nominal or ordinal: a) The speed at which individuals from the southern part of the United States can shoot a hockey puck. b) A poll of registered candidate they support c) The number of pages per job coming off a computer printer d) The ranking individuals gave to the movie the The Matrix (from Hated it to The Greatest Movie Ever) voters as to which Suppose that a random sample of the times, in hours, 30 students spend studying for the 1 test in Calculus is: 4.00 3.75 2.25 4.23 9.58 6.28 1.46 7.83 193 8.29 10.85 0.43 5.29 4.64 9.94 2.13 6.38 5.21 7.34 6.48 1.23 9.99 10.83 3.67 0.25 8.45 7.39 5.23 5.34 3.34 a Using intervals of 0-0.49, 0.5-0.99, 1.0- 1.49 1.5 1,99,2.0-2.49,., construct a histogram. What is the shape b) Using intervals of 0-0.99 10- 10-1.99,2.0- 99 3
Suppose that a random sample of the times, in hours, 30 students spend studying for the 1* test in Calculus is: 4.00 3.75 2.25.46 4.23 9.58 6.28 93 8.29 10.8:5 0.43 .29 4.64 9.94 2.13 6.38 5.21 7.34 6.48 23 9.99 10.83 3.67 0.25 8.45 3.34 .39 5.23 5.34 Using intervals of 0-0.49,0.5-0.99, 1.0-1.49 1.5 1.99,2.0-2.49,..., construct a histogram. What is the shape Using intervals of 0-0.99, 1.0-1.99, 2.0- 2.99, 3.0-3.99,, construct a histogram. What is the shape? eUsing intervals of your own choosing, construct a histogram. What is the shape A psychiatrist has developed a measurement instrument for the mental state of patients. The test is on a scale of 0-100 (with higher scores meaning the patient is suffering froma higher level of mental duress). She randomly selects a group of individuals to take part in a study using this measurement instrument, and she develops a stem-and-leaf plot of her data as follows: 016 1 | 1178 3 0017899 5 67788999 7 114444499 8 889 9 01 Based on the stem-and-leaf plot, answer the following questions: a What is the mean, median and mode? b What is the range, variance and standard What is the 25th percentile? What is the inte
2.99, 3.0-3.99, ..., construct a histogram. What is the shape ) Using intervals of your own choosing, construct a histogram. What is the shape? A psychiatrist has developed a measurement instrument for the mental state of patients. The test is on a scale of 0-100 (with higher scores meaning the patient is suffering from a higher level of mental duress). She randomly selects a group of individuals to take part in a study using this measurement instrument, and she develops a stem-and-leaf plot of her data as follows 0 6 | | 1178 3 | 0017899 412 5 67788999 7| 114444499 8 889 9101 Based on the stem-and-leaf plot, answer the following questions a. What is the mean, median and mode? b. What is the range, variance and standard deviation? What is the 25th percentile? What is the interpretation of this value? d What is the 75th percentile? What is the interpretation of this value? e What is the interquartile range (IQR)? What is the z-score for a patient that scores 88? What is the interpretation of this z score?
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