Compare the (i) (ii) (iii) three data sets on Q Q the right. 13141516171819 13141516171819 13141516171319 <:> (a) Which data set has the greatest sample standard deviation? 0 A. Data set (i), because it has more entries that are farther away from the mean. 0 B. Data set (ii), because it has more entries that are close to the mean. 0 C. Data set (iii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? 0 A. Data set (ii), because it has more entries that are close to the mean. 0 B. Data set (i), because it has more entries that are farther away from the mean. 0 6. Data set (iii), because it has less entries that are farther away from the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mode but have different standard deviations and means. three data sets on the right. Compare the (i) Q (ii) Q (iii) Q Q 13141516171319 13141516171319 13141515171819 E) O C. Data set (iii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? 0 A. Data set (ii), because it has more entries that are close to the mean. 0 B. Data set (i), because it has more entries that are farther away from the mean. 0 6. Data set (iii), because it has less entries that are farther away from the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mode but have different standard deviations and means. 0 B. The three data sets have the same standard deviations but have different means. 0 C. The three data sets have the same mean and mode but have different medians and standard deviations. O D. The three data sets have the same mean, median and mode but have different standard deviations. The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. 1426 1223 990 Assume the population is normally distributed. 595 722 830 721 746 541 627 1 442 949 (:3) Find the sample mean. x = (Round to one decimal place as needed.) (b) Find the sample standard deviation. s = (Round to one decimal place as needed.) (5) Construct a 99% condence interval for the population mean p. A99% condence interval for the population mean is ( , ). (Round to one decimal place as needed.) The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median. and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 881111897777771051 Find the mean. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- The mean is . (Type an integer or decimal rounded to one decimal place as needed.) O B. The data set does not have a mean. Does the mean represent the center of the data? 0 A. The mean represents the center. O B. The mean does not represent the center because it is the smallest data value. 0 c. The mean does not represent the center because it is the largest data value. 0 D. The mean does not represent the center because it is not a data value. 0 E. The data set does not have a mean. The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 8811118977777710Q1 Find the median. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- The median is . (Type an integer or decimal rounded to one decimal place as needed.) O B. The data set does not have a median. Does the median represent the center of the data? 0 A. The median represents the center. 0 B. The median does not represent the center because it is the largest data value. 0 c. The median does not represent the center because it is not a data value. 0 D. The median does not represent the center because it is the smallest data value. 0 E. The data set does not have a median. The number of credits being taken by a sample of 13 fulltime college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 8811118977777710q7 O D. The median does not represent the center because it is the smallest data value. 0 E. The data set does not have a median. Find the mode. Select the correct choice below and. if necessary, ll in the answer box to complete your choice. O A- The mode(s) islare . (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) O B. The data set does not have a mode. Does (Do) the mode(s) represent the center of the data? 0 A. The mode(s) represent(s) the center. 0 B. The mode(s) does (do) not represent the center because it (one) is the smallest data value. 0 c. The data set does not have a mode. 0 D. The mode(s) does (do) not represent the center because it (they) is (are) not a data value. 0 E. The mode(s) does (do) not represent the center because it (one) is the largest data value. What is the difference between a parameter and a statistic? A parameter is a numerical description of a E characteristic. A statistic is a numerical description of a |:l characteristic. population sample Determine whether the statement is true or false. To estimate the value of p, the population proportion of successes, use the point estimate x. O A. False, to estimate the value of p, use the point estimate 3: .o>|= O B. True, to estimate the value of p, use the point estimate 6: x. O 6. False, to estimate the value of p, use the point estimate 6: ; A x O D. False, to estimate the value of p, use the point estimate p = H. The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (0) below. 23 33 2.8 g. Assume the population is normally distributed. 1-8 0.9 4.0 2.3 1.1 3.5 0.1 2.1 3.2 (a) Find the sample mean. x = (Round to two decimal places as needed.) (b) Find the sample standard deviation. s = (Round to two decimal places as needed.) (c) Construct a 95% condence interval for the population mean p. A95% condence interval for the population mean is ( , (Round to two decimal places as needed.) If all other quantities remain the same, how does the indicated change affect the width of a confidence interval? (a) Increase in the level of confidence (b) Increase in the sample size (c) Increase in the population standard deviation . . . (a) How does an increase in the level of confidence affect the width of a confidence interval? Choose the correct answer below. An increase in the level of confidence the confidence interval. (b) How does an increase in the sample size affect the width of a confidence interval? Choose the correct answer below. An increase in the sample size the confidence interval. (c) How does an increase in the population standard deviation affect the width of a confidence interval? Choose the correct answer below. An increase in the population standard deviation the confidence interval. will widen will narrow does not changeThe letters A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the Which description below best describes the shape of the distribution? mean, which is the median, and which is the mode. Justify your answers. O Symmetric cation Days Used by Employees O Skewed right 187 O Skewed left 16- 14-7 O Uniform 12- 10- In this distribution, how is the mode determined? Frequency O A. The mode cannot be identified. O B. The mode is the data entry that has the highest frequency. O C. The mean, median, and mode are all equal. 3 5 7 9 11 13 15 Number of Days O D. The mode is the data entry that has the lowest frequency. The mode is labeledThe letters A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the O D. The mode is the data entry that has the lowest frequency. mean, which is the median, and which is the mode. Justify your answers. Vacation Days Used by The mode is labeled Employee 18- In this distribution, how is the mean determined? 16- 14- O A. The mean is to the left of the median and mode. 12 - 10- O B. The mean is to the right of the median and mode. Frequency O C. The mean, median, and mode are all equal. 97 00 . . . O D. The mean cannot be identified. The mean is labeled 3 5 7 9 11 13 15 Number of Days In this distribution, how is the median determined? O A. The median is to the right of the mean and to the left of the mode. O B. The median cannot be identified. O C. The median is to the left of the mean and to the right of the mode. O D. The mean, median, and mode are all equal. The median is labeled