MAT 232: Statistical Literacy Assignment: Week 3 MyStatLab Homework 2023

MAT 232: Statistical Literacy Assignment: Week 3 MyStatLab Homework 2023. Find the mean area and median area for these states. The mean is square miles. (Round to the nearest integer as needed.) The median is square miles. b. Which state is an outlier on the high end? If you eliminate this state, what are the new mean and median areas for this data set? State 2 is an outlier on the high end. The new mean is 81617 square miles. (Round to the nearest integer as needed.) The new median is 79100 square miles. (Round to the nearest integer as needed.) c. Which state is an outlier on the low end? If you eliminate this state, what are the new mean and median areas for this data set? State 7 is an outlier on the low end. The new mean is square miles. (Round to the nearest integer as needed.) The new median is square miles. (Round to the nearest integer as needed.) Suppose you have scores of 20 25 30 , , , and 20 on quizzes in a mathematics class. Complete parts (a) through (c). a. What is the mean of these scores? 23.75 b. What score would you need on the next quiz to have an overall mean of 25? 30 c. If the maximum score on a quiz is 50, is it possible to have a mean of 30 after the fifth quiz? Yes No A student's course grade is based on one midterm that counts as % of his final grade, one class project that counts as % of his final grade, a set of homework assignments that counts as % of his final grade, and a final exam that counts as % of his final grade. His midterm score is , his project score is , his homework score is , and his final exam score is . What is his overall final score? 20 15 50 61 His overall final score is 78.8 . (Round to one decimal place as needed.) 1/27/2020 Week 3 MyStatLab Homework-Ambra Esquerra 3/10 6. 7. Find the (a) mean, (b) median, and (c) mode for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where , , , and . Do the results make sense? 1 = smooth-yellow 2 = smooth-green 3 = wrinkled-yellow 4 = wrinkled-green 2 4 4 4 2 1 2 2 2 1 4 2 3 1 (a) The mean phenotype code is 2.4 . (Round to the nearest tenth as needed.) (b) The median phenotype code is 2 . (Type an integer or a decimal.) (c) Select the correct choice below and fill in any answer boxes within your choice. A. The mode phenotype code is 2 . (Use a comma to separate answers as needed.) B. There is no mode. Do the measures of center make sense? A. Only the mode makes sense since the data is nominal. B. Only the mean and median make sense since the data is numerical. C. All the measures of center make sense since the data is numerical. D. Only the mean and median make sense since the data is nominal. The histogram to the right shows the times between eruptions of a geyser for a sample of 300 eruptions (which means 299 times between eruptions). Over the histogram, draw a smooth curve that captures its general features. Describe the distribution in terms of its number of modes, its symmetry or skewness, and its variation. 0 20 40 60 Frequency Chose the correct answer below. A. one mode, symmetric, low variation B. three modes, symmetric, wide variation C. one mode, right-skewed, moderate variation D. two modes, left-skewed, wide variation 1/27/2020 Week 3 MyStatLab Homework-Ambra Esquerra 4/10 8. 9. Suppose you study family income in a random sample of families. Your results can be summarized as the mean family income was $ , the median family income was , the highest and lowest incomes were $ and $ , respectively. 500 48,000 $31,000 256,000 3,000 a. Draw a rough sketch of the income distribution, with clearly labeled axes. Choose the correct answer below. A. 3000 0 income, $ Frequency B. 3000 0 income, $ Frequency C. 3000 0 income, $ Frequency D. 3000 0 income, $ Frequency Describe the distribution as symmetric, left-skewed, or right-skewed. Choose the correct answer below. symmetric right-skewed left-skewed b. How many families in the sample earned less than $31,000? Explain how you know. Choose the correct answer below. A. 375 families, because the mode is the most common value in a data set. B. 125 families, because the mean is the average value of income. C. 250 families, because the median is the middle value in the sorted data set. c. Based on the given data, can you determine how many families earned more than ? Why or why not? Choose the correct answer below. $48,000 A. No, because the number of families that earned more than $48,000 depends on the distribution. B. Yes, because the mean is the middle value in the sorted data set. Consider a distribution of the weights of 100 eighth-grade boys. How many modes would you expect for the distribution? Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Choose the correct answer below. A. One mode; symmetric B. One mode; right-skewed C. Two modes; symmetric D. Two modes; right-skewed 1/27/2020 Week 3 MyStatLab Homework-Ambra Esquerra 5/10 10. 11. 12. For the distribution described below, complete parts (a) and (b) below. The ages of 1,000 randomly selected patients being treated for dementia a. How many modes are expected for the distribution? A. The distribution is probably bimodal. B. The distribution is probably unimodal. C. The distribution is probably uniform. D. The distribution is probably trimodal. b. Is the distribution expected to be symmetric, left-skewed, or right-skewed? A. The distribution is probably left-skewed. B. The distribution is probably symmetric. C. The distribution is probably right-skewed. D. None of these descriptions probably describe the distribution. The number of words defined on pages randomly selected from a dictionary are given below. Find the range and standard deviation for the set of numbers. range = 41 words (Type an integer or a decimal.) standard deviation = 13.9 words (Round to the nearest tenth as needed.) Statistics students participated in an experiment to test their ability to determine when 1 minute (or 60 seconds) has passed. The results are given below in seconds. Find the range and standard deviation for the given sample data. Range = 18 sec Sample standard deviation = 7.7 sec (Round to the nearest tenth as needed.)