MATH302 I007

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School

American Military University *

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Course

302

Subject

Statistics

Date

Feb 20, 2024

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docx

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Uploaded by DeanFlower10669

The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here. See Attached Excel for Data. FTES data.xlsx Calculate the Sample Variance. Round to two decimal places. Use the Excel function to find the Sample Variance. Variance: ___27901.06667 ___ (27901.07) tion 1 feedback S( ) function in Excel. 2 The following data are the distances between 21 retail stores and a large distribution center. The distances are in miles. See Attached Excel for Data. retail store data.xlsx Find the standard deviation and round to the nearest tenth. Use the Excel function to find the Sample SD. 35.5 79.5 36.3 96 34.5 Hide question 2 feedback use =STEDV.S function in Excel. An instructor wants to compare spread (variation) of final grades of students in her online class and face-to-face class. The instructor selects 10 students randomly from each class and the following table shows the final grades of those students. See Attached Excel for Data. final grade data.xlsx Use the Excel function to find the Sample SD. The standard deviation of final grades for the online class is ___ 7.83 ___ Use the information to respond to the following question: (round to 2 decimal places) tion 3 feedback V.S function in Excel. 4 For a boxplot, the box itself represents what percent of the observations?

middle 50% lower 25% upper 75% 100% Hide question 4 feedback The box is the middle 50% and then 25% on either side of the box. 25% + 50% + 25% = 100% Boxplots are most useful for: calculating the mean of the data comparing the mean to the median comparing two populations graphically calculating the median of the data Question 6 1 / 1 point The following data represents the percent change in tuition levels at public, four-year colleges (inflation adjusted) from 2008 to 2013 (Weissmann, 2013). Below is the frequency distribution and histogram.

Class Limits Class Midpoint Frequency Relative Frequency 2.2 – 11.7 6.95 6 0.12 11.8 – 21.3 16.55 20 0.40 21.4 – 30.9 26.15 11 0.22 31.0 – 40.5 35.75 4 0.08 40.6 – 50.1 45.35 2 0.04 50.2 – 59.7 54.95 2 0.04 59.8 – 69.3 64.55 3 0.06 69.4 – 78.9 74.15 2 0.04 How many colleges were sampled? 78 35 50 100 20 Hide question 6 feedback 6+20+11+4+2+2+3+2 The following data represents the grades in a statistics course. Below is the frequency distribution and histogram.

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Class Limit Class Midpoint Frequency Relative Frequency 40 – 49.9 45 2 0.08 50 – 59.9 55 1 0.04 60 – 69.9 65 7 0.28 70 – 79.9 75 6 0.24 80 – 89.9 85 7 0.28 90 – 99.9 95 2 0.04 How many students were in the class? 25 75 95 7

100 Hide question 7 feedback 2+1+7+6+7+2 The following histogram shows the number of enrollment in 40 community colleges. The shape of this distribution is: right skewed (skewed positive) symmetric left skewed (skewed negative Question 9 1 / 1 point The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed below. Find the mode. See Attached Excel for Data. river length data.xlsx 64 32 no mode 56 & 64 56 Hide question 9 feedback The two values that appear most often are 56 and 64. The median can also be described as: the middle observation when the data values are arranged in ascending order the second quartile

the 50th percentile all of the above Question 11 1 / 1 point The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed below. Find the median. See Attached Excel for Data. river length data.xlsx 65.18 km 67.68 km 66.34 km 56 km 64 km Hide question 11 feedback use =MEDIAN function in Excel use =MEDIAN function in Excel Jesse was ranked 36th in his graduating class of 180 students. At what percentile is Jesse's ranking? 20th percentile 57th percentile 63rd percentile 80th percentile Hide question 12 feedback 36/180 = .20 This means he is in the top 20, which is the 80th percentile of the glass. Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985). Use Excel to find the 25th percentile. Round your answer to one decimal place. See Attached Excel for Data. cholesterol data.xlsx Answer= ___ 268 ___ (225.5) Hint: Use =PERCENTILE.INC function in Excel. Retrieved from http://www.statsci.org/data/general/cholest.html . tion 13 feedback ENTILE.INC( , .25) in Excel. 14 Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find Q3. Do not include any decimals. See Attached Excel for Data.

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cholesterol data.xlsx Use the Excel function =PERCENTILE.INC to find Q3. Retrieved from http://www.statsci.org/data/general/cholest.html . Fill in each the value below: Q3 ___ 282 ___ tion 14 feedback Functions ILE.INC( ,.75) 15 The total frequency of the data whose ogive is shown below is approximately 34 90 12 18 Hide question 15 feedback The frequency count is along the y-axis. The following graph represents a random sample of car models driven by college students. What was the most common car model? Other

Nissan Both Honda and Nissan Chevy Both Nissan and Toyota Toyota Both Chevy and Toyota Question 17 1 / 1 point When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of one of their metacarpal bone (in cm) were collected and shown in the table below. Create a scatter plot using Excel. height and length data.xlsx What type of a relationship, if any, exists between the height of a person and the length of their metacarpal? (2013, September 26). Retrieved from http://www.statsci.org/data/general/stature.html . Length of Metacarpal Height of Person 45 171 51 178 39 157 41 163 48 172 49 183 46 173 43 175 47 173 Positive

No relationship Negative Question 18 1 / 1 point The following scatterplot shows the hours studied for an exam and the grade for a sample of students. What is the relationship between the variables displayed in the scatterplot? Positive No trend Negative Hide question 18 feedback The trend is moving upward in a positive direction The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. Create a Stem-Leaf plot for these data. 15.8 16.1 15.2 14.8 15.8 15.9 16.0 15.5 16.1 15.7 Fill in the blanks of table below to complete the Stem-Leaf plot for these data. The key is 15|2 = 15.2. Sort the values for Leaf in increasing order and do not keep spaces or commas between leaves.

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Stem Leaf 14 15 16 (a) (b) (c) (a): ___ 8 ___ (33.3 %) (b): ___ 257889 ___ (33.3 %) (c): ___ 011 ___ (33.4 %) The following data show the height (in inches) of sample of students. 67 70 71 61 71 67 69 68 66 65 67 67 64 71 69 67 67 64 62 69 Create a stem leaf plot for these data and then select all of the correct statements about these data based on your plot. There are 25 students in the sample. The maximum observed height is 70 inches. 20% of students are over 69 inches tall. 50% of students heights are less than 65 inches.

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