Identify which value represents the sample mean and which value represents the claimed population mean. (a) American households spent an average of about $53 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 1,100 households and found that average Halloween spending was $56 per household. (Enter your answers in dollars.) sample mean $ claimed population mean $ (b) The average GPA of students in 2001 at a private university was 3.39. A survey on a sample of 201 students from this university yielded an average GPA of 3.54 a decade later. sample mean claimed population mean For each part, compare distributions (1) and (2) based on their medians and IQRS. You do not need to calculate these statistics; simply state how the medians and IQRS compare. (a) 2, 4, 6, 14, 15 (1) 2, 4, 6, 14, 17 (2) The median of (1) is ---Select--- @ the median of (2). The IQR of (1) is ---Select--- O the IQR of (2). (b) 1, 5, 7, 8, 9 (1) 3, 4, 5, 7, 7 (2) The median of (1) is ---Select--- @ the median of (2). The IQR of (1) is ---Select--- O the IQR of (2). (c) 1, 2, 3, 4, 5 (1) 6, 7, 8, 9, 10 (2) The median of (1) is ---Select--- O the median of (2). The IQR of (1) is ---Select--- O the IQR of (2). (d) 0, 10, 20, 30, 100 (1) 0, 100, 200, 300, 1000 (2) The median of (1) is ---Select--- @ the median of (2). The IQR of (1) is ---Select--- O the IQR of (2).(a) Describe the distribution in the histogram below. (Enter your answer as a whole number.) 50 60 70 i The distribution is ---Select--- O and ---Select--- . The median appears to be about Match the histogram to the box plot. O 100- 80- 60- 40- 20- O OO 707 .. .... . . 65- 4- 60- 2- 55 (b) Describe the distribution in the histogram below. (Enter your answers as whole numbers.) 50 100 i The distribution is ---Select--- O . The values range from to Match the histogram to the box plot.O 100- 80- 60- 40- 20- O Ci O 70- 6- -. .. . 65- 4- 60- 2- 55- 0- Ci(c) Describe the distribution in the histogram below. 6 2 4 6 The distribution is ---Select--- O and ---Select--- O . Match the histogram to the box plot. O 100- 80- 60- 40- 20-O O 70- 67 + 65- 4- 60- 2- 55. oJ Ci iStudent grades on a chemistry exam were: 79, 78, 76, 82, 85, 50, 79, 81, 83, 99 Part (a) Construct a stem-and-leaf plot of the data. (Use the tens digit as the stem and the ones digit as the leaf. Enter your answers from smallest to largest, separated by spaces. Enter NONE for stems with no leaves.) 5 6 9 Part (b) Are there any potential outliers? If so, which scores are they? Why do you consider them outliers? The only outlier is 50 because it lies 1.5 x IQR below the first quartile. The two outliers are 50 (because it lies 1.5 x IQR below the first quartile) and 99 (because it lies 1.5 x IQR above the upper quartile). There are no outliers in the data set because there are no large gaps in the stem-and-leaf plot. The only outlier is 99 because it is the largest value in the data set.Local government ofcials in a particular city are concerned with the number of bicycle accidents reported where the cyclist was not wearing a helmet. They surveyed a random sample of 200 adult cyclists to determine how often they wear a helmet (always, usually, sometimes, or never). The survey showed the following results3% always, 12% usually, and 25% sometimes. (a) What percentage never wore a helmet? % (b) Select the pie chart that correctly displays this information. Sometimes Usually Sometimes Usually Never Always Sometimes (c) What percentage of cyclists reported that they always or usually wear a helmet? % (d) Determine whether the following statement is true or false. The population of interest in this survey is all residents of this city. True False