Statistics Questions

13 Logging in the Rain Forest Conservationists have despaired over destruc tion of tropical rain forest by logging clearing and burning These words begin a report on a statistical study of the effects of logging in Borneo 2 Charles Can non of Duke University and his coworkers compared forest plots that had never been logged Group 1 with similar plots nearby that had been logged one year earlier Group 2 and eight years earlier Group 3 All plots were 0 1 hectare in area Here are the counts of trees for plots in each group LOGGING Group 1 27 22 29 21 19 33 16 20 24 Group 2 12 12 15 9 20 18 17 14 14 Group 3 18 4 22 15 18 19 22 12 12 To what extent has logging affected the count of trees Follow the four step 27 27 28 19 2 17 19

2 51 Shared pain and bonding In Exercise 2 6 you should have noticed some low outliers in the pain group BONDING a Compute the mean and the median of the bonding scores for the pain group both with and without the two smallest scores Do they have more of an effect on the mean or the median Explain why b Does the 1 5 X IQR rule identify these two low bonding scores as suspected outliers group c Unusual observations are not necessarily mistakes Suppose a small percentage of subjects would expe ce little bonding regardless of whether they were e no pain or the pain group Explain how th lomization of the students to the two group d have led to these outliers pain group 3 43 4 86 1 71 1 71 3 86 3 14 4 14 3 14 4 43 3 71 3 14 4 14 4 29 2 43 2 71 4 43 3 43 1 29 1 29 3 00 3 00 3 00 2 86 2 14 4 71 1 00 3 71 4 71 4 86 4 14 1 29 2 29 4 43 3 57 4 43 3 57 3 43

11 x and s Are Not Enough The mean x and standard deviation s measure center and variability but are not a complete description of a distribution Data sets with different shapes can have the same mean and standard deviation To demonstrate this fact use your calculator to find x ands for these two small data sets Then make a stemplot of each and comment on the shape of each distribution DATASET2 Data A 9 14 8 14 8 74 8 77 9 26 8 10 6 13 3 10 9 13 7 26 4 74 Data B 6 58 5 76 7 71 8 84 8 47 7 04 5 25 5 56 7 91 6 89 12 50

G economy ratings for all cars and light trucks sold in the United States Here are the estimated miles per gallon for city driving for the 186 cars classified as midsize in 2016 arranged in increasing order MIDCARS 11 11 11 12 13 13 16 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 18 18 18 18 19 19 19 19 19 19 19 19 18 16 16 16 16 16 17 18 18 18 18 20 20 20 20 20 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24 22 22 22 22 22 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 27 27 27 27 27 25 25 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 31 31 35 36 39 40 40 40 40 41 43 44 54 58 Give the five number summary of this distribution O Draw a boxplot of these data What is the shape of the distribution show by the boynler Which features of the boyplot led you to this conclusion

31 Guinea pig survival times Here are the survival times in days of 72 guinea pigs after they were injected with infectious bacteria in a medical experiment 6 Survival times whether of machines under stress or cancer patients after treatment usually have distributions that are skewed to the right GUINPIGS 66 67 73 74 79 83 83 84 88 89 91 100 100 101 102 102 102 43 45 53 56 56 57 58 80 80 81 81 81 82 91 92 92 97 99 99 103 104 107 108 109 113 114 118 121 123 126 128 137 138 139 144 145 147 156 162 174 178 179 184 191 198 211 214 243 249 329 380 403 511 522 598 a Graph the distribution and describe its main fea tures Does it show the expected right skew b Which numerical summary would you choose for these data Calculate your chosen summary How

2 1 E Coli in Swimming Areas To investigate water quality the Columbus Dis patch took water specimens at 16 Ohio State Park swimming areas in central Ohio Those specimens were taken to laboratories and tested for E coli which are bacteria that can cause serious gastrointestinal problems For reference if a 100 milliliter specimen about 3 3 ounces of water contains more than 130 E coli bacteria it is considered unsafe Here are the E coli levels per 100 milliliters found by the laboratories 2 ECOLI 291 0 10 9 190 4 45 7 47 0 86 0 44 0 18 9 1 0 50 0 28 5 18 9 16 0 34 0 8 6 9 6 28 5 18 9 Find the mean E coli level How many of the lakes have E coli levels greater ch th 2 What feature of the data explains the fact that the mean is

2 7 economy ratings for all cars and light trucks sold in the United States Here are the estimated miles per gallon for city driving for the 186 cars classified as midsize in 2016 arranged in increasing order MIDCARS 15 15 15 15 17 17 17 17 11 11 11 12 13 13 13 14 14 14 14 14 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 18 18 18 18 18 18 18 19 19 19 19 19 20 20 20 20 20 18 18 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 22 22 22 22 21 21 21 21 22 22 22 22 24 24 24 24 24 21 22 22 22 23 23 25 25 25 25 23 23 23 23 23 24 22 22 22 22 22 24 24 24 25 25 25 25 27 27 27 25 25 27 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 31 31 35 36 39 40 40 40 40 41 43 44 54 58 28 28 28 28 Fuel Economy for Midsize Cars Exercise 2 7 page 55 gives the estimated miles per gallon mpg for city driving for the 186 cars classified as midsize ir 2016 In that exercise we noted that several of the mpg values were unusuall large Which of these are suspected outliers by the 1 5 X IQR rule Although outliers can be produced by errors or incorrectly recorded observations they ar often observations that differ from the others in some particular way In thi case the cars producing the high outliers share a common feature What do yo

7 University endowments The National Association of College and University Business Officers collects data on college endowments In 2015 its report included the endowment values of 841 colleges and universities in the United States and Canada When the endowment values are arranged in order what are the locations of the median and the quartiles in this ordered list

25 Incomes of college grads According to the U S Census Bureau s Current Population Survey the mean and me dian 2014 income of people aged 25 34 years who had a bachelor s degree but no higher degree were 44 167 and 51 754 respectively 4 Which of these numbers is the mean and which is the median Explain your rea soning

In an experiment the probability that event A occurs is 7 occurs is 38 Submit and the probability that event B If A and B are independent events what is the probability that A and B both occur Simplify any fractions

Name that variable A survey of a large college class asked the following questions 1 Are you female or male In the data male 0 female 1 2 Are you right handed or left handed In the data right 0 left 1 3 What is your height in inches 4 How many minutes do you study on a typical weeknight c b d

ture on health in 35 countries with the highest gross domestic product in that year 2 Health expenditure per capita is the sum of public and private TABLE 1 3 Per capita total expenditure on health international dollars Dollars Country Dollars Country 293 Saudi Arabia 1725 1414 South Africa 4191 4885 3126 Spain 4526 3741 Sweden 1454 2398 Switzerland 938 Thailand 4759 646 1061 Turkey 843 5601 United Arab Emirates 4552 207 United Kingdom 4334 6308 United States 4812 1551 Venezuela 215 1587 Argentina Australia Austria Belgium Brazil Canada China Colombia Denmark France Germany India Country Indonesia Iran Italy Japan Korea South Malaysia Mexico Netherlands Nigeria Norway Poland Russia Dollars 1681 1121 2846 4244 6187 658 1053 2233 3311 9146 656 health expenditure in PPP international divided by population Health expenditures include the provision of health services family planning activi ties nutrition activities and emergency aid designated for health but

ma a as nia LE 1 5 Nurses per 100 000 people by state do cticut 1 35 e Where are the nurses Table 1 5 gives the number of active nurses per 100 000 people in each state 26 NURSES a Why is the number of nurses per 100 000 people a bet ter measure of the availability of nurses than a simple count of the number of nurses in a state b Make a stemplot that displays the distribution of nurses per 100 000 people The data will first need to be rounded see page 30 What units are you go ing to use for the stems The leaves You should round the data to the units you are planning to use for the leaves before drawing the stemplot Write a brief de scription of the distribution Are there any outliers If so can you explain them c Do you think it would be useful to split the stems when drawing the stemplot for these data Explain your reason Nurses 911 717 585 798 630 831 1017 1155 814 665 689 682 901 901 1022 934 1003 State Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Nurses 881 1093 906 1260 849 1093 950 1038 855 1054 609 1006 858 614 848 940 968 State Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming District of Columbia Nurses 1021 742 803 1030 1104 834 1296 984 67 63 91 76 8 95 9 8 14

Cases 1 9 Lyme Disease Lyme disease is caused by a bacteria called Borrelia burgdorferi and is spread through the bite of an infected black legged tick generally found in woods and grassy areas There were 213 515 confirmed cases reported to the Centers for Disease Control CDC between 2001 and 2010 and these are bro ken down by age and sex in Figure 1 9 25 000 20 000 15 000 10 000 5 000 0 Confirmed Lyme disease cases by age and sex United States 2001 10 Male Female 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Age years Reported cases of Lyme disease are most common among boys aged 5 9 Here is how Figure 1 9 relates to what we have been studying The indi viduals are the 213 515 people with confirmed cases and two of the variables measured on each individual are sex and age Considering males and females separately we could draw a histogram of the variable age using class intervals 0 to 5 years old 5 to 10 years old and so forth Look at the leftmost two pars in Figure 1 9 The light blue bar shows that approximately 9000 of the nales were between 0 and 5 years old and the dark blue bar shows slightly fewer emales were in this age range If we were to take all the light blue bars and put hem side by side we would have the histogram of age for males using the class ntervals stated Similarly the dark blue bars show females Because we are try ng to display both histograms in the same graph the bars for males and females ithin each class interval have been placed alongside each other for ease of omparison with the bars for different class intervals separated by small spaces Describe the main features of the distribution of age for males Why would describing this distribution in terms of only the center and vari ability be misleading Suppose that different age groups of males spend differing amounts of time outdoors How could this fact be used to explain the pattern that you found in part a Be

1 37 Fur seals on St Paul Island Every year hundreds of thou sands of northern fur seals return to their haul outs in the Pribilof Islands in Alaska to breed give birth and teach their pups to swim hunt and survive in the Bering Sea U S commercial fur sealing operations continued on St Paul until 1984 but despite a reduction in harvest the population of fur seals has continued to decline Possible reasons include climate shifts in the North Pacific chang es in the availability of prey and new or increased interac tion with commercial fisheries that increase mortality Here are data on the estimated number of fur seal pups born on St Paul Island in thousands from 1979 to 2014 where a dash indicates a year in which no data were collected 28 FURSEALS Pups Born thousands Year 245 93 1988 203 82 1989 179 44 1990 203 58 1991 165 94 1992 173 27 1993 182 26 1994 167 66 1995 171 61 1996 Pups Born thousands 202 23 171 53 201 30 182 44 192 10 170 12 Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Pups Born thousands 179 15 158 74 145 72 122 82 Year 2006 2007 2008 2009 2010 2011 2012 2013 2014 Pups B thousa 109 102 94 96 91

1 43 Watch those scales Figures 1 18 a and 1 18 b both show time plots of tuition charged to in state students from 1980 through 2015 33 In state tuition 10 000 9 000 8 000 7 000 6 000 5 000 4 000 3 000 2 000 1980 a Which graph appears to show the biggest increase in tuition between 2000 and 2015 b Read the graphs and compute the actual increase in tuition between 2000 and 2015 in each graph Do you think these graphs are for the same or different data sets Why 1990 2000 Year a 2010 2020 FIGURE 1 18 Time plots of in state tuition between 1980 and 2015 for Exercise 1 43 In state tuition 14 000 12 000 10 000 8 000 6 000 4 000 2 000 0 1980 1990 2000 Year b 2010 2020

27 Deaths among young people Among persons aged 15 24 years in the United States there were 28 486 deaths in 2013 The leading causes of death and num ber of deaths were accidents 11 619 suicide 4878 homicide 4329 cancer 1496 heart disease 1170 con genital defects 362 19 a Make a bar graph to display these data b Can you make a pie chart using the information given Explain carefully why or why not

31 IQ test scores Figure 1 15 is a stemplot of the IQ test scores of 78 seventh grade students in a rural midwestern school 23 IQ a Four students had low scores that might be considered outliers Ignoring these describe the shape center and variability of the remainder of the distribution b We often read that IQ scores for large popula tions are centered at 100 What percent of these 78 students have scores above 100 7 7 8 8 69 9 0133 9 6778 0022 33 3344 24 79 10 10 11 11 55688999 12 003344 12 677888 13 02 13 6 555666777789 0 0 0 0 1 1 1 1 22223334444 FIGURE 1 15 The distribution of IQ scores for 78 seventh grade

25 What color is your car most popular color cars and light trucks vary with region type of vehicle and over time In North America silver and gray are the most popular choices for midsize cars black and red for sports cars and white for light trucks Despite this variation overall white remains the top choice worldwide for the fifth consecutive year increasing its lead by 7 over the previous year Here is the distribu tion of the top colors for vehicles sold globally in 2015 17 CARCOLOR Colo White Black Silver Gray Red Beige brown Blue Other colors Popularity 35 17 12 11 8 8 7 Fill in the percent of vehicles that are in other colors Make a graph to display the distribution of color

1 23 Medical students Students who have finished medical school are assigned to residencies in hospitals to receive further training in a medical specialty Here is part of a hypothetical database of students seeking residency positions USMLE is the student s score on Step 1 of the national medical licensing examination Medical School Name Abrams Florida Laurie Sex Age F 28 Brown Meharry M 25 Gordon Cabrera Tufts Maria F 26 Ismael Indiana F Miranda 32 USMLE 238 205 191 245 Specialty Sought Family medicine Radiology Pediatrics Internal medicine a What individuals does this data set describe b In addition to the student s name how many vari ables does the data set contain Which of these vari

1 9 Lyme Disease Lyme disease is caused by a bacteria called Borrelia burgdorferi and is spread through the bite of an infected black legged tick generally found in woods and grassy areas There were 213 515 confirmed cases reported to the Centers for Disease Control CDC between 2001 and 2010 and these are bro ken down by age and sex in Figure 1 9 Cases 25 000 20 000 15 000 10 000 5 000 0 Confirmed Lyme disease cases by age and sex United States 2001 10 Male Female 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Age years Reported cases of Lyme disease are most common among boys aged 5 9 Here is how Figure 1 9 relates to what we have been studying The in als are the 213 515 people with confirmed cases and two of the variab sured on each individual are sex and age Considering males and fema rately we could draw a histogram of the variable age using class inter 5 years old 5 to 10 years old and so forth Look at the leftmost in Figure 1 9 The light blue bar shows that approximately 9000 of s were between 0 and 5 years old and the dark blue bar shows slightly few les were in this age range If we were to take all the light blue bars and side by side we would have the histogram of age for males using the cl als stated Similarly the dark blue bars show females Because we are display both histograms in the same graph the bars for males and fema 1

Day Sunday Monday Tuesday Wednesday Thursday Friday Births 7 371 11 805 12 630 12 155 12 112 12 042 2211

3 Social top choice of social media over all ages with 65 using among those using social media sites However more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audi ences When asked Which one social networking site or service do you use most often here are the top sites chosen by Americans aged 12 24 who cur rently use any social networking site or service SOCMEDIA Social Media Site Facebook Instagram Snapchat Twitter Google Pinterest Percentage Who Use Most Often 43 18 15 8 4 3 a What is the sum of the percentages for these top social media sites What percent of Americans aged 12 24 use other social media sites most often b Make a bar graph to display these data Be sure to include an Other social media site category

ke and Model aru Impreza san Juke ndai Elantra GT vrolet Impala Vehicle Class Compact Small station wagon Midsize Large Transmission Type Manual Manual Automatic Automatic Number of Cylinders 4 4 4 6 City mpg 25 28 24 19 Highway mpg 34 34 33 29 Annual Fuel Cost 900 1 100 950 1 150 The annual fuel cost is an estimate assuming 15 000 miles of travel a year 55 city and 45 highway and an average fuel price a What are the individuals in this data set b For each individual what variables are given Which of these variables

bok 7 nt 7 aces Case 5 2 Algo Shouldice Hospital in Canada is widely known for one thing hernia repair In fact that is the only operation it performs and it performs a great many of them Over the past two decades this small 54 bed hospital has averaged 4 120 operations annually Last year it had a record year and performed nearly 4 620 operations A hernia repair operation at Shouldice Hospital is performed by one of the 12 full time surgeons assisted by one of seven part time assistant surgeons The first operations begin at 7 30 AM each day Monday through Saturday Surgeons generally take about one hour to prepare for and perform each hernia operation and they operate on an average of at most four patients per day This four patient per day limit on the average number of operations performed per surgeon has been found to be the best operating level for the hospital as it take into account time the surgeons need for patient exams and consultations updating medical charts writing reports traveling to professional conferences vacations and other times when they are performing other duties or are not available to perform surgeries A given surgeon may perform more than four surgeries on a given day but the average cannot exceed four without having adverse effects on overall hospital operations The surgeons day ends at 4 p m Although hernia repair operations are performed only five days a week the remainder of the hospital is in operation continuously to attend to recovering patients The table below shows the room occupancy plan for the existing system Each row in the table follows the patients who checked in on a given day The columns indicate the number of patients in the hospital on a given night BEDS REQUIRED TUESDAY WEDNESDAY THURSDAY 18 18 18 18 18 CHECK IN DAY Monday Tuesday Wednesday Thursday Friday Saturday Sunday Total Monday Tuesday Wednesday Thursday Friday Saturday MONDAY 18 Sunday 18 36 Utilization 18 54 54 18 18 18 54 FRIDAY SATURDAY 18 18 18 54 For example the first row of the table shows that 18 people checked in on Monday and were in the hospital for Monday Tuesday and Wednesday nights before being discharged on Thursday By summing the column of the table for Wednesday we see that there are 54 patients staying in the hospital that night How well is the hospital currently utilizing its beds Round your answers to 1 decimal place 18 18 36 SUNDAY 18 18 36

Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses The incomplete results are shown below 0 1 3 Flossing per Week 6 Flossing per Week 0 7 1 3 6 7 Flossing Frequency for Adults with Gum Disease Frequency Relative Frequency 0 4000 Part a Fill in the blanks in the table Round your answers for relative frequency and cumulative relative frequency to four decimal places Flossing Frequency for Adults with Gum Disease Frequency 24 12 24 6 24 12 1 6 1 0 1000 0 0167 X Cumulative Relative Freq 0 8833 X Relative Frequency Cumulative Relative Freq 0 4000 0 40000 0 20000 0 60000 0 4000 0 1000 0 0167 0 8833 0 9833 1 0000

Find the point s on the graph of y x 7x 9 X where the slope is 4 Type an ordered pair using integers or decimals Round the final answer to two decimal places as needed Round all intermediate values to two decimal places as needed Use a cc separate answers as needed

1 Select all the distribution shapes for which it is most often appropriate to use the mean A bell shaped B bimodal C skewed D symmetric E uniform 2 For which distribution shape is it usually appropriate to use the median when summarizing the data A bell shaped B skewed C symmetric D uniform 3 The number of writing instruments in some teachers desks is displayed in the do plot Which is greater the mean or the median Explain your reasoning using the shape of the distribution 4 5 6 9 stim 11 7 8 10 number of writing instruments 12 13

6 a Mara runs a bakery and wants to open a new store She conducts a survey to see if customers would be interested in this new store In the survey 1 in 10 respondents indicated living within a ten minute drive of the new store Of these respondents 50 were interested in the new store Respondents living within a ten minute drive of the new store represented 81 of all respondents who were interested in the new store Part A What is the probability that a respondent in the survey was interested in the new store b Part B Which decision should Mara make A Since the percentage of respondents to the survey who wanted a new store is low overall she should not open a new store B Since 81 of all respondents to the survey were interested in the new store she should open a new store C Since the percentage of respondents to the survey who wanted a new store is high overall she should open a new store Since exactly half of all respondents to the survey were interested in the new store she should not open a new store D

2 A survey was conducted between males and females to see if they prefer cheeseburgers or hamburgers The results of the survey are posted in the Venn diagram below 26 Cheeseburger 21 Female 18 16 Find the following probabilities as a percent If necessary round to the nearest whole P cheeseburger female P hamburger male P cheeseburger

5 a A bookcase has 36 math books and 14 science books Twelve of the math books are hardback books and 5 of the science books are also hardback books Part A What is the probability that a randomly selected book is not a hardback book b Part B What is the probability that a randomly selected book is not a math book

he scores and their percent of the final grade for a statistics student are given What is the student s weighted mean score The student s weighted mean score is Simply your answer Rund to teni point possible Homework Quie Quie Project Final Exam Score Per 64 38888 80 D 93 56

13 Place an X in the table to show whether events A and B are dependent or independent P A 0 42 P B 0 23 and P A and B 0 966 P A 0 55 P B 0 28 and P A and B 0 154 P A 0 08 P B 0 12 and P A and B 0 0096 P A 0 36 P B 0 71 and P A and B 0 35

One card is selected at random from a deck of cards Find the probability of selecting the following possibilities in the first column Note Write your answer in simplest form and separate the numerator and denominator using a slash Possibility A queen or king A heart or a 6 A red card or a diamond Probability 11

7 Two events A and B are independent P A 0 3 P A and B 0 24 What is P B P B

B 0 5 For two mutually exclusive events A and B P A What is the probability that either event A or event B occurs 0 4 0 8 5 10 0 6 and P B 1 10

4 a A box contains 2 cans of chicken soup 17 cans of lentil soup and 7 cans of tomato soup Jackie randomly selects one can and sets it aside He randomly selects another can Let C be the event that the can has chicken soup Let L be the event that the can has lentil soup Let T be the event that the can has tomato soup Part A Which statement is correct A Event L is the complement of event C B The events C and L are dependent C The events L and T are independent D Event C is the complement of event T b Part B What is the probability that the first randomly selected can is lentil soup and the second randomly selected can is tomato soup

3 An apple grower produces two types of apples Golden Delicious and Granny Smith Golden Delicious apples are 71 of the grower s apples During the picking and cleaning process 8 of Golden Delicious apples get bruised while 3 of Granny Smith apples get bruised What is the probability that an apple is bruised during the picking and cleaning process Round to the nearest thousandth

1 a b Ryann observed 500 vehicles in three different colors Her results are summarized in the two way relative frequency table Gray Blue White Total Type of Vehicle Sedan Truck SUV Total 0 10 0 08 0 12 0 30 0 03 0 01 0 06 0 10 0 06 0 18 0 36 0 60 0 19 0 27 0 54 1 00 Part A What is the probability that an observed vehicle is not an SUV Part B What is the probability that an observed sedan is blue c Part C How many observed vehicles are white trucks

There are 10 large and 40 small hermit crabs in a tank Place an X in the table to show whether each statement is true The probability that a randomly selected hermit crab is large is The probability that a randomly selected hermit crab is not large is 0 8 If the first hermit crab chosen at random is large the probability that the next randomly selected hermit crab is small is True False

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution What is the probability that a randomly selected book has fewer than 151 pages if the mean is 193 pages and the standard deviation a is 21 pages Use the empirical rule Enter your answer as a percent rounded to two decimal places if necessary Provide your answer below

The population standard deviation for the heights of dogs in inches in a city is 3 7 inches If we want to be 95 confident that the sample mean is within 2 inches of the true population mean what is the minimum sample size that can be taken Use the table above for the 2 score and be sure to round up to the nearest integer Provide your answer below 20 10 ZO 05 20 025 20 01 0 005 1 282 1 645 1 960 2 326 2 576 dog heights

A medical experiment on tumor growth gives the following data table X 33 115 18 112 The least squares regression line was found Using technology it was determined that the total sum of squares SST 11654 and the sum of squares of regression SSR was 11405 0 Calculate R rounded to three decimal places

Karen is studying the relationship between the time spent exercising per day and the time spent outside per day and has collected the data shown in the table The line of best fit for the data is 0 16x 45 5 Assume the line of best fit is significant and there is a strong linear relationship between the variables Exercising Minutes Time Spent Outside Minutes 57 60 62 67 70 90 110 130 According to the line of best fit what would be the predicted number of minutes spent outside for someone who spent 66 minutes exercising Round your answer to two decimal places as needed Provide your answer below The predicted number of minutes spent outside is 11

QUESTION 10 1 POINT The scatter plot below shows data relating total income and the number of children a family has Which of the following patterns does the scatter plot show Income thousands 200 150 100 50

Find the linear regression line for the following table of values You will need to use a calculator spreadsheet or statistical software Enter your answer in the form y mx b with m and b both rounded to two decimal places Provide your answer below X 1 N 2 M In 10 3 4 5 6 y 3 76 9 76 11 23 11 1 13 6 17 76

Find the area to the right of the z score 0 41 under the standard normal curve 0 00 0 01 0 02 0 03 0 04 0 05 0 06 0 07 0 08 0 09 0 2 0 5793 0 5832 0 5871 0 5910 0 5948 0 5987 0 6026 0 6064 0 6103 0 6141 0 3 0 6179 0 6217 0 6255 0 6293 0 6331 0 6368 0 6406 0 6443 0 6480 0 6517 0 4 0 6554 0 6591 0 6628 0 6664 0 6700 0 6736 0 6772 0 6808 0 6844 0 6879 0 5 0 6915 0 6950 0 6985 0 7019 0 7054 0 7088 0 7123 0 7157 0 7190 0 7224 Use the value s from the table above Provide your answer below

Find the area to the right of the 2 score 0 41 under the standard normal curve Z 0 00 0 01 0 02 0 03 0 04 0 05 0 06 0 07 0 08 0 09 0 2 0 5793 0 5832 0 5871 0 5910 0 5948 0 5987 0 6026 0 6064 0 6103 0 6141 0 3 0 6179 0 6217 0 6255 0 6293 0 6331 0 6368 0 6406 0 6443 0 6480 0 6517 0 4 0 6554 0 6591 0 6628 0 6664 0 6700 0 6736 0 6772 0 6808 0 6844 0 6879 0 5 0 6915 0 6950 0 6985 0 7019 0 7054 0 7088 0 7123 0 7157 0 7190 0 7224 Use the value s from the table above DumindAY answer below

A recent study suggested that 81 of senior citizens take at least one prescription medication Amelia is a nurse at a larg hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital Sh randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication What are the null and alternative hypotheses for this hypothesis test Select the correct answer below Ho p 0 81 Ha p 0 81 Ho p 0 81 O O O O Ha P 0 81 Ho P 0 81 Ha p 0 81 Ho P 0 81 Ha literarnieri TEEN p 0 81

A researcher claims that the proportion of cars with manual transmission is less than 10 To test this claim a survey checked 1000 randomly selected cars Of those cars 95 had a manual transmission The following is the setup for the hypothesis test Ho p 0 10 Ha p 0 10 Find the test statistic for this hypothesis test for a proportion Round your answer to 2 decimal places Provide your answer below Test Statistic