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Types of Samples 2 Z-scores Standard Deviation 100 200 300 400 100 200 300 400 100 200 300 400 100 200 300 400 500 500 500 500 Sample vs. Population Types of Samples 1 100 200 300 400 500 Sample vs. Population for 100 Question: Explain the difference between a sample and a population. Check Your Answer Sample vs. Population for 100 Answer: A sample is just a portion of the entire population. Back to the Game Board Sample vs. Population for 200 Question: Which has a larger spread: a smaller sample or a bigger sample? Check Your Answer Sample vs. Population for 200 Answer: bigger Back to the Game Board Sample vs. Population for 300 Question: The mean of a sample is 5, and the mean of the population is 7. What is one possible reason that the means are not the same? Check Your Answer Sample vs. Population for 300 Answer: Answers will vary Back to the Game Board Sample vs. Population for 400 Question: Three sample means were calculated to be: 3.6, 2.1, and 3.0. What is the best way to find an estimate for the population mean? Check Your Answer Sample vs. Population for 400 Answer: Find the mean of the sample means. Back to the Game Board Sample vs. Population for 500 Question: If the population mean is 7.1, and the standard deviation is 3, the middle 68% of the data is between what two numbers? Check Your Answer Sample vs. Population for 500 Answer: 4.1 and 10.1 Back to the Game Board Types of Samples for 100 Question: What are two types of samples that are biased? Check Your Answer Types of Samples for 100 Answer: Self-selected, and convenience Back to the Game Board Types of Samples for 200 Question: What type of sample is the following scenario? A poll on which TV show is the best. Check Your Answer Types of Samples for 200 Answer: Self-selected Back to the Game Board Types of Samples for 300 Question: What type of sample is the following scenario? You want to know the best movie in the theater so you ask your best friends. Check Your Answer Types of Samples for 300 Answer: Convenience Back to the Game Board Types of Samples for 400 Question: Is the following sample biased or unbiased? Picking a winner using a random number generator on a calculator. Check Your Answer Types of Samples for 400 Answer: unbiased Back to the Game Board Types of Samples for 500 Question:What type of sample is the following scenario? Jill wants to know if people like the apple pie at her store so she asks her customers. Check Your Answer Types of Samples for 500 Answer: convenience Back to the Game Board Types of Samples 2 for 100 Question: What are the two types of unbiased samples? Check Your Answer Types of Samples 2 for 100 Answer: Systematic and Random Back to the Game Board Types of Samples 2 for 200 Question: Is the following sample biased or unbaised? I ask every 3rd person my question. Check Your Answer Types of Samples 2 for 200 Answer: unbiased Back to the Game Board Types of Samples 2 for 300 Question: What type of sample is the following scenario? I close my eyes and point to who I will ask my question. Check Your Answer Types of Samples 2 for 300 Answer: random Back to the Game Board Types of Samples 2 for 400 Question: Which sample is the most unbiased? a) Asking your best friends b) People volunteering their answers c) Asking every other person d) Asking the first 5 people in my cell phone. Check Your Answer Types of Samples 2 for 400 Answer: c. Asking every other person Back to the Game Board Types of Samples 2 for 500 Question: Create a sample that is selfselected. Check Your Answer Types of Samples 2 for 500 Answers will vary. Back to the Game Board Z-scores for 100 Question: What is the formula for finding a z-score? Check Your Answer Z-scores for 100 Answer: xx Back to the Game Board Z-scores for 200 Question: Find the z-score for a value of 94 if the mean is 90 and the standard deviation is 3.5. Check Your Answer Z-scores for 200 Answer: 1.1 Back to the Game Board Z-scores for 300 Question: Find the probability that a tree is less than 94 feet tall if the mean is 90 and the standard deviation is 3.5. Check Your Answer Z-scores for 300 Answer: 0.8643 Back to the Game Board Z-scores for 400 Question: The weights of male monkeys are normally distributed with a mean of 17 lbs and a std dev of 3. What is the probability that a monkey is more than 14 lbs? Check Your Answer Z-scores for 400 Answer: 0.84 Back to the Game Board Z-scores for 500 Question: The mean weight of middle school girls is 125.8 with a std dev of 10.4. Find the probability that a girl weighs between 124 and 145.6 lbs. Check Your Answer Z-scores for 500 Answer: 0.5506 Back to the Game Board Standard Deviation for 100 Question: Find the standard deviation if the mean is 22.3. 22, 18, 19, 25, 27, 21, 24 Check Your Answer Standard Deviation for 100 Answer: 3 Back to the Game Board Standard Deviation for 200 Question: Find the standard deviation if the mean is 6. 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8 Check Your Answer Standard Deviation for 200 Answer: 1.32 Back to the Game Board Standard Deviation for 300 Question: Find the standard deviation. Data 5 6 7 8 9 Frequency 15 20 20 15 10 Check Your Answer Standard Deviation for 300 Answer: 1.29 Back to the Game Board Standard Deviation for 400 Question: Find the std dev Data 10 12 13 15 16 Frequency 3 2 5 9 4 Check Your Answer Standard Deviation for 400 Answer: 1.93 Back to the Game Board Standard Deviation for 500 Question: If the variance of a data set is 8.4, what is the standard deviation? Check Your Answer Standard Deviation for 500 Answer: 2.90 Back to the Game Board