Q1.

To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures ballpoint pens selected samples of its manufactured pens on each of 10 days. The company recorded, for each sample, the number of defective pens in the sample. Here are their data. 13, 6, 15, 22, 9, 16,12,29,10, 16 Send data to calculator (a) What is the median of this data set? If your answer is not I] an integer, round your answer to one decimal place. (b) What is the mean of this data set? If your answer is not an I] integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are 0 zero modes their values? Indicate the number of modes by clicking in the 0 one mode: [I appropriate circle, and then indicate the value(s) of the mode(s), if applicable. 0 two modes: I] and I] Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by 9 adults. 18,10,25,24,12,16,11,13,17 Send data to calculator (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. 0 zero modes (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the one mode' appropriate circle, and then indicate the value(s) of the O ' I] mode(s), if applicable. 0 two modes: [1 and D A weight-loss clinic advertised that last month its patients, on average, lost 6 1b. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month some of their patients lost exactly 6 lb. Last month fewer than half of their patients lost 6 lb or less. Last month at least one of their patients lost more than 8 lb. Last month all of their patients lost at least 6 lb. Two months ago at least one of their patients lost at least 6 lb. C] None of the above statements are true. The weights (in pounds) of 18 preschool children are 42, 29, 35, 47, 45, 37, 23, 21, 25, 30, 44, 46, 39, 33, 26, 22, 49, 40 Send data to calculator Find 10" and 75" percentiles for these weights. (If necessary, consult a list of formulas. ) (a) The 10 percentile: pounds (b) The 75th percentile: pounds X UThe following data are the distances from the workplace (in miles) for the 6 employees of a small business. 6,14,15, 4, 7,14 Assuming that these distances constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. (If necessary, consult a list of formulas.) The monthly salaries (in thousands of dollars) of a sample of 5 sales representatives are as follows. 9,11,10,12,13 Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places. (If necessary, consult a list of formulas.) For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Type of Level of Variable variable measurement X ? O Nominal O Quantitative (a) Amount (in pounds) of weight O Ordinal needed to break a bridge cable O Interval O Categorical O Ratio O Nominal Quantitative O Ordinal (b) Gender O Interval O Categorical O Ratio O Nominal (c) Amount (in fluid ounces) of coffee in O Quantitative O Ordinal a cup dispensed by a vending O Interval machine O Categorical O RatioFor each variable, determine whether it is best thought of as discrete or continuous. Variable Discrete Continuous (a) The highest grade level (lst, 2nd, or 3rd) completed by a high-school dropout (b) The total amount of time that customers spend this week listening to telephone "hold" music while calling 1-800-PARCELS (c) The total attendance at a public school on a school day (d) The number of occupied tables at Zito's Cafe at 8 pm. next Friday 0 O The following is a list of 12 measurements. 74, 32, 40, 17,15, 81,58, 7, 91, 1, 1,91 Send data to calculator Suppose that these 12 measurements are respectively labeled x1, x2, ..., x12. (Thus, 74 is labeled x1, 32 is labeled x2, and so on.) Compute the following. Over the past several months, customers at Stymie's department store have been asked to fill out customer satisfaction surveys. In the surveys, the customers rate their shopping experience on a scale of 0 to 100. Here are 25 recent ratings. 10, 19, 19, 22, 24, 34, 37, 37,43, 44, 46, 49, 56, 56, 57, 58, 59, 62, 68, 70, 76, 79, 83, 84, 87 l Send data to calculator l Frequency 10 ON-P-OKOG 0 20 40 60 80 100 Customer satisfaction rating Answer the questions below. Mean (a) For these data, which measures of Median central tendency take more than one value? M d o e Choose all that apply. None of these measures (b) Suppose that the measurement 87 (the Mean largest measurement in the data set) were Median replaced by 94. Which measures of central tendency would be affected by the change? Mode Choose all that apply. : None of these measures (c) Suppose that, starting with the original Mean data set, the largest measurement were Median removed. Which measures of central Mode tendency would be changed from those of the original data set? Choose all that apply. None of these measures