Statistics Questions and Answers

e whether the study depicts an obse her obtained a random sample of 1

vegan diet and commute to work on bikes Their culture emphasizes living in harmony with the sun so they maintain healthy circadian rhythms For example they always turn off their phones by 9pm and they only drink water after sunset You are a medical anthropologist at the University of Fitland who wants to understand the Fitland lifestyle So far you have found the following information You can apply the 68 95 99 7 Rule to this information to answer the questions below Assume each of these variables is normally distributed The mean body mass index BMI for Fitlanders is 20 kg m2 with a standard deviation of 2 kg m The median daily screen time for Fitlanders including phones TVs and computer screens is 84 minutes with a standard deviation of 18 minutes About 68 of Fitland s citizens have commute times between 21 and 45 minutes Half of Fitland s citizens commute to work in 33 minutes or less Question 1 What percentage of Fitlanders have a BMI greater than 24 kg m Question 2 Question 3 1 pts Researchers at the University of Fitland want to recruit volunteers for a study on how screen time affects sleep quality Any Fitlander who averages more than 102 minutes of screen time per day can participate in the study Approximately what percentage of Fitland s population would be eligible What is the standard deviation of commute times in Fitland Report your answer in minutes 1 pts 1 pts

pling and Quiz K Ratio O Nominal Ordinal O Interval Question The following appear on a physician s intake form Identify th a Disabilities c Year of birth

d Question 4 of 31 pharmaceutical company wants to test the effectiveness of a new allergy dru The subjects are randomly assigned into two groups One group is given the r rug After six months the subjects symptoms are studied and compared An a Identify the experimental units and treatments used in this experiment Ch

nd dentify the sampling techniques used and discuss potential sources of bias Questioning students as they leave an athletic facility a researcher asks 380 What type of sampling is used Question 7 of 31 DA Cluster sampling is used because students are divided into groups

me each level of measurement for which lect all the levels of measurement for wh A Interval B Ordinal C Ratio

pling and Quiz K Question Identify the population and the sample Describe the sample A survey of 168 law firms in a country found that the average Identify the population Choose the correct answer below the law firms that were surveyed all people in the country all partners all law firms in the country

testid 249848983 centerwin yes Question at is the difference between an observational study and

nd dentify the sampling technique used t a local community college five statistics class

Question 13 npling technique used phone survey participants were asked to answe ubile 1100

The number of people employed in a country as solar photovoltaic installers was 14 000 in 2018 By 2028 this number is expected to rise to 20 500 Let y be the number of solar photovoltaic installers employed in the country in the year x where x 0 represents 2018 Use this to answer parts a and b CHEB a Write a linear equation that models the number of people employed as solar photovoltaic installers in year x Hint The line must pass through the points 0 14000 and 10 20500 y Type your answer in slope intercept form Use integers or decimals for any numbers in the expression

There are 38 different colored pencils in a box What is the probability that the orange pencil and then the green pencil will be chosen at random without replacement Enter a fraction or round your answer to 4 decimal places if necessary

AutoWrecks Inc sells auto insurance AutoWrecks keeps close tabs on its customers driving records updating its rates according to the trends indicated by these records AutoWrecks records indicate that in a typical year roughly 70 of the company s customers do not commit a moving violation 10 commit exactly one moving violation 15 commit exactly two moving violations and 5 commit three or more moving violations This past year s driving records for a random sample of 100 AutoWrecks customers are summarized by the first row of numbers in the table below That row gives this year s observed frequency for each moving violation category for the sample of 100 AutoWrecks customers The second row of numbers gives the frequencies expected for a sample of 100 AutoWrecks customers if the moving violations distribution for this year is the same as the distribution for a typical year The bottom row of numbers contains the following value for each of the moving violation categories fo fB JE Part 1 Fill in the missing values in the table Round your responses for the expected frequencies to two or more Jo JB decimal places Round your Observed frequency Jo Observed frequency Expected frequency Expected frequency Expected frequency lo JE No violations 68 1 Type of test statistic a Z b t c Chi Square d F responses to three or more decimal places Exactly one violation a Yes b No 7 10 00 Degrees of freedom if applicable 0 900 2 The value of the test statistic Round your answer to at least two decimal places Exactly two violations 3 The p value Round your answer to at least three decimal places 22 Three or more violations 3 Part 2 Answer the following to summarize the test of the hypothesis that there is no difference between this year s moving violation distribution and the distribution in a typical year Use the 0 10 level of significance for the test 5 00 0 800 4 Can we reject the hypothesis that there is no difference between this year s moving violation distribution and the distribution in a typical year Total 100

The following histogram displays systolic blood pressure from 63 individuals who were about to give blood in a Red Cross Blood drive How many donors had a systolic blood pressure that was between 111 and 120 18 wana 16 14 12 10 8 5 a N 7 10 17 11 Histogram of Systolic Blood Pressure 7 3 2 2 2

Match the word with the definition DOD threat competitive environment environment 1 2 3 The set forces t influen Overall such as trends econom Multiple collecti another services

Donna is looking into investing a portion of her recent bonus into the stock market While researching different companies she discovers the following standard deviations of one year of daily stock closing prices 9 82 Masterful Pocketwatches Standard deviation of stock prices El Lobo Malo Incorporated Standard deviation of stock prices 1 13 Based on the data and assuming these trends continue which company would give Donna a stable long term investment Answer 2 Points Keypad Keyboard Shortcuts El Lobo Malo Incorporated the smaller standard deviation indicates that El Lobo Malo Incorporated has a greater mean closing price than Masterful Pocketwatches El Lobo Malo Incorporated the smaller standard deviation indicates that El Lobo Malo Incorporated has less variability in its closing prices than Masterful Pocketwatches 7178 Masterful Pocketwatches the larger standard deviation indicates that Masterful Pocketwatches has less variability in its closing prices than El Lobo Malo Incorporated

Homework Assignment 5 Hypothesis Testing One Sample Upd estion list Question 6 Question 7 Question 8 K In hypothesis testing the common level of significance is with a preference for a new web design over the existing hypothesis was that it was not equal to 0 73 The p value a State in statistical terms the null and alternative hypo Ho 0 73 H 0 73 Type integers or decimals Do not round

em and leaf plot represents the times in minutes requir Commute T

value Weight 2 00 75 0 3 00 15 0 4 00 10 0 weighted average

Suppose that quiz scores in a beginning statistics class have a mean of 7 3 with a standard deviation of 0 3 Using Chebyshev s Theorem state the range in which at least 88 9 of the data will reside Please do not round your answers

A sample of blood pressure measurements is taken from a data set and those values mm Hg are listed below The values are matched so that subjects each have systolic and diastolic measurements Find the mean and median for each of the two samples and then compare the two sets of results Are the measures of center the best statistics to us with these data What else might be better Systolic Diastolic 150 97 147 145 108 139 121 152 113 138 72 80 63 87 65 51 70 56 58 60 Find the means The mean for systolic is mm Hg and the mean for diastolic is Type integers or decimals rounded to one decimal place as needed mm Hg

Suppose a company has fixed costs of 2100 and

One common system for computing a grade point average GPA assigns 4 points to an A 3 points to a 8 2 points to a C 1 point to a D and 0 points to an F What is the GPA of a student who gets an A in a 2 credit course a B in each of three 4 credit courses a C in a 2 credit course and a D in a 3 credit course The mean grade point score is RIZE Round to the nearest tenth as needed

3 lypothesis Testing s a result of complaints from p e wait time was 4 minutes

prisluGQING ess Statistics SP1 2023 Assignment 5 H pd

Suppose a company has fixed costs of 2100 an

at an astonishing rate since 1982 The following function and graph models this situation where t is the number of years since 1982 and P is the prize money in million PRIZE MONEY ANNOUNCED Prize Money in million US dollars 43 15 P t 1 189 64e 021 Using the graph estimate the point of inflection and explain the significance of this point in the context of the problem 4

Based on a survey assume that 41 of consumers are comfortable having drones deliver their purchases Suppose that we want to find the probability that when five consumers are randomly selected exactly two of them are comfortable with delivery by drones Identify the values of n x p and q

The table below lists the areas in square miles of all 23 counties in Wyoming county Albany Big Horn Campbell Carbon Converse Crook Fremont Goshen Hot Springs Johnson Laramie Lincoln Natrona Niobrara Park Platte Sheridan Sublette Sweetwater Teton Uinta Washakie Weston area 4274 3137 4797 7897 4255 2859 9183 2226 2004 4166 2686 4069 5340 2626 6943 2085 2523 4882 10426 4008 2082 2240 2398 a Make and label a histogram and boxplot for this data using GeoGebra Insert your histogram and boxplot in the add work box and type your titles and labels above and below the graphs Use the Export button in GeoGebra and the Insert Image button in the Add work box

Given below is the frequency distribution for the heights in feet from eruptions of the Old Faithful Geyser in Yellowstone National Park Frequency Distribution for the heights in feet from eruptions of the Old Faithful Geyser Height ft 90 104 105 119 120 134 135 149 150 164 2 8 20 00 8 2 Frequency Construct a histogram using the frequency distribution given here State the shape of the distribution giving justification for your choice Please draw your histogram on your own piece of paper It can be right below your boxplot When you are done with your histogram please hold up your histogram to the camera to show me your work You should hold your work still for 3 seconds I will match what I see on the video with the work you send me Then proceed to the last problem You will be sending a picture of this work to me through email immediately after the exam is over

Listed below are the heights in feet from eruptions of the Old Faithful Geyser in Yellowstone National Park 140 140 148 130 125 110 136 125 115 120 120 140 136 120 148 130 130 136 130 115 136 150 120 130 120 120 95 140 125 130 150 130 120 n Make a stem and leaf plot Remember to include your key Please do your construction on your own piece of paper It can be on the same page as your boxplot and histogram on the backside When you are done with your stem and leaf plot please hold up your stem and leaf plot to the camera to show me your work You should hold your work still for 3 seconds I will match what I see on the video with the work you send me Then proceed to the next problem You will be sending a picture of this work to me through email immediately after the exam is over

Use the sample data listed below to find the coefficient of variation for each of the two samples round to nearest tenth of a percent then compare and provide a possible explanation for the difference between the two coefficient of variation using complete sentences A sample of eagle eggs was taken from local zoos and their length in millimeters was measured The following is the mean and standard deviation of the sample 79 2 mm s 1 1 mm A sample of eagle eggs was taken from the wild and their length in millimeters was measured The following is the mean and standard deviation of the sample 65 4 mm s 4 6 mm Your Answer

A simple random sample of pages from Merriam Webster s Collegiate Dictionary 11th ed was obtained The sample mean is 53 2 words the standard deviation is 15 0 words Using the formula for z scores from your formula sheet please type out how you would place the given numbers into the formula for your calculations State the z score rounded to two decimal places Using the z score only determine if 90 words is an unusually high or significantly high number of words found on a page Once again be sure to type out your calculations and write your conclusion in complete sentences

Given below is the frequency the Old Faithful Geyser in Yellowstone National Park Find the relative frequency distribution and type your answer in the blanks Frequency Distribution for the heights in feet from eruptions of the Old Faithful Geyser Frequency 90 104 Height ft 105 119 120 134 135 149 150 164 What is the class width Answer 1 You left this blank Answer 2 You left this blank Answer 3 You left this blank Answer 4 You left this blank Answer 5 You left this blank 2 8 20 00 8 Relative Frequency

Identify the data collected in each situation as being either qualitative or quantitative A researcher gathers a simple random sample of 50 people and collects the following data measurements 1 Their zip code This type of data is quantitative 2 Their eye color This type of data is qualitative 3 Their weight This type of data is quantitative Answer 1 quantitative Answer 2 qualitative Answer 3 quantitative

The chair of the operations management department at Quali construct a p chart for determining whether the four faculty P OM course are under control with regard to the number of course Accordingly he sampled 100 final grades from last ye with the following results Instructor Prof A Prof B Prof C Prof D Number of Failures 13 0 11 16 What is the sample proportion of failures p for Prof D O 13 O 11

the nation is 85 000 How does the median for middle level managers in the Atlanta area compare to the median for managers across the nation b Compute the mean annual salary for managers in the Atlanta area and discuss and why it differs from the median computed in part a c Compute the first and third quartiles for salaries of middle level managers in Atlanta area

40 45 42 49 49 43 55 42 44 40 Wait Time minutes 49 38 41 48 42 41 42 49 61 39 46 45 46 41 40 42 43 40 45 37 a Compute the mean waiting time for these 40 patients b Compare the median waiting time c Compute the mode d Compute the first and third quartiles 44 51 45 42 43 41 40 43 37 43 8 Middle Level Manager Salaries Suppose that an independent study of middle level managers employed at companies located in Atlanta Georgia was conducted to compare the salaries of managers working at firms in Atlanta to the salaries of middle level managers across the nation The following data show the salary in thousands of dollars for a sample of 15 middle level managers 108 83 106 73 53 5 20 63 67 75 124 55 93 118 77 a Compute the median salary for the sample of 15 middle level managers Suppose the median salary of middle level managers employed at companies located across

Q 1 Blocks A 20 kg and B 28 kg are connected to cylinder C 45 kg by separate ropes passing over two smooth pulleys as shown The ropes are attached to the center of the cylinder where force P is also applied Assume the pulleys have negligible mass and cylinder C rests on a smooth surface with negligible friction a Determine the contact force between the cylinder and the ground as well as the magnitude of the applied force P necessary to maintain equilibrium if 0 15 b Determine the maximum angle for which equilibrium can be maintained assuming the orientation of the two other ropes remain the same Find the corresponding magnitude of force P in this scenario B 12

In a population of 10 000 there are 5000 nonsmokers 2500 smokers of one pack or less per day and 2500 smokers of more than one pack per day During any month there is a 6 probability that a nonsmoker will begin smoking a pack or less per day and a 3 probability that a nonsmoker will begin smoking more than a pack per day For smokers who smoke a pack or less per day there is a 10 probability of quitting and a 10 probability of increasing to more than a pack per day For smokers who smoke more than a pack per day there is an 8 probability of quitting and a 10 probability of dropping to a pack or less per day How many people will be in each group in 1 month in 2 months and in 1 year Round your answers to the nearest whole number a in 1 month nonsmokers 1 pack day or less more than 1 pack day b in 2 months nonsmokers 1 pack day or less more than 1 pack day c in 1 year nonsmokers 1 pack day or less more than 1 pack day 5000 2550 2450 5001 2585 2414 5000 1900 3100 people people people I people people people Xpeople X people X people

If the price elasticity of demand for a good is 0 45 then which of the following events is consistent with a 9 percent decrease in the quantity of the good demanded a 20 percent increase in the price of the good O a 0 05 percent increase in the price of the good O a 4 05 percent increase in the price of the good O a 0 5 percent increase in the price of the good

LaBoing produces springs which are categorized as either acceptable or defective During a perio in which the manufacturing processes are under control LaBoing takes multiple samples of 300 springs each resulting in a calculated p value of 0 06 Develop the appropriate control chart for the springs The upper control limit is Enter your response rounded to three decimal places

Suppose your friend just took a home pregnancy test and the result was positive That particular brand advertises a positive result 91 of the time when given to a pregnant woman and a negative result 99 of the time when given to a woman who is not pregnant Before the test was taken your friend thought her chance of being pregnant was 50 50 Now given the positive result what is her new chance of being pregnant 0 989 0 819 0 099 0 5 O 0 91

Suppose there are three cards A B and C Two of them will be drawn one by one with replacements What is the probability of getting A B i e the first card is A and the second card is B O 1 9 O 1 6 O 1 4 O 1 2 1 3

Suppose a voter poll is taken in two states In state A 50 of voters support the liberal candidate In state B 60 of voters support the liberal candidate Of the total population of the two states 40 live in state A and 60 live in state B Suppose we randomly select a person from the two states combined Let S denote the event that he she supports the liberal candidate A denote the event that he she lives in state A and B denotes the event that he she lives in state B What is P S 0 35 0 24 0 56 0 4 O 0 5

True or false If two events A and B are independent events with P A 0 P B 0 then A and B are mutually exclusive events O False O True

TRUE or FALSE Let A and B be two arbitrary sets then An B A UB False True

FA discrete random variable X can assume five possible values 0 1 3 6 8 Its pmf is shown below Find the standard deviation X p x O 5 7 1 845 O 3 7 O 2 532 6 41 0 0 1 1 0 2 3 0 3 6 0 3 8 0 1

The table below shows the points scored by a basketball team in their 1st seven games Determin the mean median mode and range Which of those statistical measure will make the team sour best A B C D Mode Median Mean Range Game Game One Game Two Game Three Game Four Game Five Game Six G Points 26 20 25 30 20 31

6 Consider a frequency distribution of scores on a 70 point test where a few students scored much lower than the majority of students Match this distribution with one of the graphs shown below 20 153 10 53 0 1 4 7 10 The correct histogram is Type A B C or D 15 12 94 6 3 of 65 95 125 20 16 12 83 25000 C 95000 A 15 12 9 6 3 0 D 57 5 67 5