uiz 1 I know I don't need to remind anyone that UMUC's academic integrity policies. We are all adults. We know that we shortchange only ourselves if we aren't honest. This quiz needs to be completed without help from others. The work submitted must be your own. Each multiple choice question is worth 0.50 point. The other questions are worth one point each. Submit through your assignment folder by 11:59 PM EDT on Nov 13th. 1. In the graph, there are two distributions: A and B. We can know from the graph: a. Distribution A has a bigger standard deviation than distribution B b. Distribution B has a bigger standard deviation than distribution A c. Distribution A and distribution B have the same standard deviation d. We cannot tell which has a larger standard deviation from the graph 2. A researcher collected BMI (Body Mass Index) of 50 students in an Engineering school. He found the mean BMI was much smaller than the median BMI. The reason for this might be___ a. Several students had much smaller BMI scores than the other students b. Several students had much larger BMI scores than the rest c. The researcher made some measurement errors d. All the students had smaller BMI scores, compared to national average 3. What is the level of measure for each of the following: a) Final grades in this class ___Ordinal__________ b) Weights of newborn babies ___Nominal _________ c) Seasons of the year __Ordinal ___________ d) Boiling temperatures of different liquids __Interval _______ 4. Determine type of sampling used: a) I collected shoe sizes from my family __Convenience_________ b) 1003 adults were called after their phone numbers were randomly generated by computer ___Simple Random_____ c) Police stopped every sixth driver for sobriety test __Systematic__________ d) U.S.D.O.C. collected data by randomly selecting 8 Federal prisons and surveying every prisoner ____Simple Random___ 5. I collected radon samples from basements in my neighborhood and obtained the following: Radon in cPi 2-5 6-9 10-13 14-17 Frequency 2 2 6 15 Identify class width __4___________________ Identify class midpoints _3.5, 7.5, 11.5, 15.5______ Identify class boundaries _1.5, 5.5, 9.5, 13.5_______ Create a histogram for these data. Histogram 18 16 14 12 10 8 6 4 2 0 3.5 7.5 11.5 15 6. Create a scatterplot of car weights and braking distance using the data below. Based on the result, does there appear to be a relationship between weight of a car and its braking distance? Weight (lb) Braking Distance (ft) 4035 131 3115 136 4115 129 3650 127 3565 146 4030 146 Y-Values 150 145 140 135 130 125 120 115 3000 3200 3400 3600 3800 4000 4200 As the weight of the cars vary, along with the breaking distance) it seems that there is not a correlation between the weight effecting the braking systems for this set of data. 7. The weekly salaries for teachers of the different grades at my school are as follows: Kindergarten 774 First 649 Second 1210 Third 546 Fourth 431 Fifth 612 Calculate the standard deviation. Do the different grades have much variation in salary? Standard Deviation: 272.73 Variance: 74383.47 8. A simple random sample of pages of my dictionary was collected. These are the number of words defined on each page. Find the mean, median, mode, and midrange. 51 63 36 43 34 62 73 39 53 79 Mean = 53.3 Median = 52 Mode = No mode available Midrange = 79 + 34 = 113/2 = 56.5 There are 1459 pages. Estimate the total number of words in the dictionary. Is the estimate likely to be an accurate estimate of the total number of words in the English language? 1459 x 53.3 = 77,765 After estimating the total number of words in the dictionary I do not believe this to be an accurate estimate to the total number of words in the English language. Despite multiplying the pages by the highest number of words defined on each page (79) I still do not believe this to be the full English language. After researching, I found that the current edition of the Oxford English Dictionary contains approximately 171,476 words. 9. I had 10 students last term who earned the following grades: 98 85 89 73 76 85 87 92 85 56 Find the first quartile: _____76 Find the median: (56 ______ _____85 ________ Find the third quartile: _____89 _____ Find the interquartile: _____13 _______ 73 76 85 Q1 = 76 Q2 = 89 Median = 85 Interquartile = Q1-Q2 = 13 85) / (85 87 89 92 98)