Statistics Questions

Question 14 14 Using the relative frequency distribution below determine the percentage of individuals who are at least 60 inches tall Height inches 50 54 99 55 59 99 60 64 99 65 69 99 Answer Relative Frequency Previous Answer 0 28 0 10 0 18 0 24 0 48 Return to overview

15 What percentage of individuals are 25 27 years of age inclusively 000 T T 22 23 24 25 26 27 Age Round your answer to the nearest hundredths Answer 0 000 Previous Answer 0 21 28 T 29 T 30 4 31

12 What percentage of observations are less than 120 11100223345568 12103458 13 046 14 13 Legend 11 0 represents 110 Round your answer to the nearest hundredths Answer Previous Answer 0 52

8 Using the frequency distribution below determine the first upper class boundary Height inches 50 54 99 55 59 99 60 64 99 65 69 99 Answer Frequency 3 8 6 3 Previous Answer 54 995 M

Question 5 of 15 5 The pie chart below summarizes the outcome of rolling a fair die 200 times How many rolls resulted in an upface value of 1 20 20 13 01 02 03 Answer 17 13 17 4 5 6 2

Using the cumulative frequency distribution below determine how many individuals ere in the 55 59 99 class Height inches Cumulative Frequency 50 54 99 55 159 99 60 64 99 65 69 99 Answer Previous Answer 7 3 10 16 23

2 The following data set was collected from a survey 60 56 46 55 42 43 57 46 49 56 55 59 49 41 52 53 46 51 54 43 41 If a relative frequency disbution is to be constructed with classes 40 44 45 49 50 54 55 59 and 60 64 what is the relative frequency of the 40 44 class Round your answer to the nearest hundredths Answer Previous Answer 0 24

4 The frequency distribution below summarizes the experience of any severe side effects among patients who were assigned to receive a new drug treatment in a randomized clinical trial What percentage of patients assigned to the new drug treatment experienced a severe side effect Side Effect Yes No Frequency 4 116 Round your answer to the nearest hundredths Answer Previous Answer 0 03 W

Loey and Dane are a pair of MBIO 3812 students who have collected data in the lab which has allowe hem to generate a bacterial growth curve see figure below Now both students have been asked by meir TA to use this data to establish the generation time g of the bacteria species that produced this urve Zoey used time points at 35 and 56 minutes for their calculations while Dane uses data from th me points at 27 and 61 minutes With the data provided from the growth curve what was each udent s calculated generation time for the bacterial species Which student s results would you onsider to be more accurate and why Show all work round the final answers to 2 decimal place nd make sure to include the appropriate units 4 pts Bacterial Concentration bacteria mL 2 65E 09 8 40E 08 3 39E 08 1 78E 08 27 35 56 61 Time min

10 Using the cumulative frequency distribution below determine how many individuals were more than 30 years old Cumulative Frequency Age 1 10 11 20 21 30 31 40 41 50 Answer Previous Answer 17 1 4 15 24 32

6 Using the frequency distribution below determine the class width Weight lbs 101 120 121 140 141 160 161 180 181 200 Answer Frequency 2 8 10 11 6 Previous Answer 37 W

Examine the bacterial growth curve below Based on this growth curve there appears to be little change in the optical density between 270 to 310 minutes however your instructor assures you that the bacterial species that produced this growth curve was well into the death phase during this time frame Luckily your instructor has saved culture samples from the 200 270 and 310 minute time points How can you verify that this bacterial species is well into the death phase and provide a reason as to why bacterial death and the optical density readings do not correspond 4 pts Optical Density 600 nm 1 20 0 05 200 Time minutes 270 310

Listeria monocytogenes is a Gram positive bacterium that can cause a life threatening illness termed listeriosis This foodborne pathogen is especially dangerous if consumed by high risk groups that include the elderly people with weakened immune systems pregnant women and newborns In the U S each year there is estimated to be 1 600 cases of listeriosis with 260 deaths Unfortunately L monocytogenes outbreaks are not uncommon and so far this year there have already been two The first outbreak which affected 19 individuals 18 of which required hospitalization was associated with the consumption of leafy greens This outbreak spanned 16 states and included a case in Oklahoma The second outbreak which is still considered active involves the recall of contaminated Soft Serve On The Go ice cream cups with an individual in NY and PA both requiring hospitalization Knowing that L monocytogenes has a doubling time of 45 minutes and that ingestion of 1 x 10 bacteria can cause disease in high risk group members what would be the effect i e illness or not if an elderly resident of an assisted living facility consumed several pieces of lunch meat that originally contained a total of 7 631 organisms but which had been sitting in an improperly refrigerated deli display case for 3 hours which allowed optimal growth of the bacteria To justify your answer i e illness or not show all work use scientific notation in the format a aa x 10 and make sure to include the appropriate units 3 pts

1 The following data set was collected from a survey 30 25 25 23 31 31 21 19 32 26 32 23 32 20 20 25 25 20 18 29 30 19 24 If a frequency distribution is to be constructed with classes 18 21 22 25 26 29 and 30 33 what is the frequency of the 18 21 class Answer Previous Answer 7

Use PMT to determine the regular payment amount rounded to the nearest dollar In terms of 1 paying less in interest which is more economical for a 170 000 mortgage a 30 year fixed rate at 8 or a 20 year fixed rate at 7 5 How much is saved in interest www Select the correct choice below and fill in the answer box within your choice Do not round until the final answer Then round to the nearest thousand dollars OA The 30 year 8 loan is more economical The buyer will save approximately OB The 20 year 7 5 loan is more economical The buyer will save approximately in interest in interest

Integers on the Number Line Place the numbers 3 2 11 and 7 on the number line below Make sure your dots are ON the number line to have it graded correctly 10 5 0 5 10

Enter or in the box below 3 10

Enter or in the box below 40 14 10

Place the numbers 2 5 8 and 5 on the number line below Make sure your dots are ON the number line to have it graded correctly 14 12 10 8 6 4 2 0 2 4 6

Enter or in the box below 7 2

Integers on the Number Line Place the numbers 5 and 3 on the number line below Make sure your dots are ON the number line to have it graded correctly 6 5 2 1 0 4 3 1 2 3 4 5 6

Which of the following graphs corresponds to the following set 1 0 O 4 3 2 1 0 O 4 3 2 1 0 4 O 1 4 3 2 1 0 1 3 2 1 F O 1 2 0 1 2 2 2 3 3 4 3 Pat 3 4 4

Write your answers as a percent 1 decimal placem For 1 7 use the following You have a bag with 9 red marbles 5 green marbles 4 yellow marbles and 2 blue marbles 1 How many marbles are in the bag 2 What is the probability of pulling out a yellow marble 3 What is the probability of pulling out a blue marble 4 We are pulling out 3 marbles in a row WITH REPLACEMENT What is the probability of pulling out three Red marbles RRR 5 We are pulling out 3 marbles in a row WITH REPLACEMENT What is the probability of pulling out a Red marble then a Green marble then a yellow marble RGY 6 We are pulling out 3 marbles in a row WITHOUT REPLACEMENT What is the probability of pulling out three Yellow marbles YYY 7 We are pulling out 3 marbles in a row WITHOUT REPLACEMENT What is the probability of pulling out a Red Marble a Blue Marble and a Yellow marble RBY 8 Using the Information Below find the Expected Value of tickets of the Spinner Game from the Diagnostic Color Orange Green Blue Yellow Purple Black Red Tickets 1 2 3 5 10 25 100 Luke Skywalker 10 10 Darth Vader 3 15 Emperor Palpatine 2 20 35 20 20 10 10 4 1 19 Death Star Duckies is a game where rubber ducks fill a Death Star style pool The picture on the bottom of the duck determines your prize The probability of selecting a duck with that picture is given Find the Expected Value of my game Jar Jar Binks 50 0 Obiwan Kenobi 35 5 10 The Georgia Lottery offers a scratch off game called Monopoly 10x A Monopoly 10x ticket costs 2 The Expected Value of a Monopoly 10x ticket is about 1 68 What does this mean for the person buying the

Express the set 0 x 1 using interval notation

Use words inequalities graphs and interval notation to complete the table Interval Notation Tip In Words numbers Select an answer 2 numbers less than or equal to 3 numbers Select an answer 3 numbers Select an answer Inequality Tip x 2 3 5 4 3 5 5 5 4 3 4 3 Graph Tip O 2 1 Clear All Draw 4 3 2 1 2 1 Clear All Draw 2 1 Clear All Draw 0 0 0 0 1 1 2 1 2 3 4 1 2 O 3 4 O 3 4 2 3 4

Express the set x 3 using interval notation Use oo two lower case o s for

Graph each inequality and then give interval notation entry tip use two o s as in octopus for infinity oo for ao and oo for o x 3 5 4 3 2 1 0 Clear All Draw x 2 Interval notation for the above inequality and graph is 5 4 3 2 1 0 2 3 Clear All Draw O 2 O 3 4 Interval notation for the above inequality and graph is

Graph the inequality 3 or 1 x 2 6 5 4 3 2 1 0 1 2 3 4 5 6 Clear All Draw

Which of the following choices corresponds to the graph 3 2 O 1 0 1 2 3 1 1 1 1 00

Express the set 9 x 5 using interval notation

The accompanying table describes probabilities for the California Daily 4 lottery The player selects four digits with repetition allowed and the random variable x is the number of digits that match those in the same order that they are drawn for a straight bet Use the range rule of thumb to determine whether 4 matches is a significantly high number of matches Select the correct choice below and if necessary fill in the answer box within your choice O A Significantly high numbers of matches are significantly high number of matches Round to one decimal place as needed OB Significantly high numbers of matches are significantly high number of matches Round to one decimal place as needed OC Significantly high numbers of matches are significantly high number of matches Round to one decimal place as needed CUE OD Significantly high numbers of matches are significantly high number of matches Round to one decimal place as needed OE Not enough information is given X 0 1 2 3 4 or more Since 4 is less than this value 4 matches is not a P x 0 659 0 294 0 044 0 004 0 or less Since 4 is at least as low as this value 4 matches is a or less Since 4 is greater than this value 4 matches is not a or more Since 4 is at least as high as this value 4 matches is a

Express the set x 2 using interval notation

Express the set 8 x 9 using interval notation

Express the set 7 x 4 using interval notation

Express the set x 4 using interval notation

Refer to the accompanying table which describes results from groups of 8 births from 8 different sets of parents The random variable x represents the number of girls among 8 children Find the mean and standard deviation for the number of girls in 8 births Click the icon to view the data table The mean is girl s Round to one decimal place as needed Table of numbers of girls and probabilities Number of Girls x 0 1 2 345678 P x 0 003 0 032 0 115 0 227 0 278 0 211 0 101 0 028 0 005 1 X

Refer to the accompanying table which describes the number of adults in groups of five who reported sleepwalking Finc the mean and standard deviation for the numbers of sleepwalkers in groups of five Click the icon to view the data table The mean is sleepwalker s Round to one decimal place as needed Table of numbers of sleepwalkers and probabilities X012345 P x 0 163 0 369 0 297 0 132 0 035 0 004 X

Based on a survey when 1009 consumers were asked if they are comfortable with drones delivering their purchases 42 said yes The probability of randomly selecting 30 of the 1009 consumers and getting exactly 24 who are comfortable with the drones is represented as 0 What does 0 indicate Does 0 indicate that it is impossible to get exactly 24 consumers who are comfortable with drones Choose the correct answer below OA The probability 0 indicates that the probability is a very small positive value It indicates that the event is impossible OB The probability 0 indicates that the probability is zero It indicates that the event is impossible OC The probability 0 indicates that the probability is a very small positive value It indicates that the event is likely OD The probability 0 indicates that the probability is a very small positive value It indicates that the event is possible but very unlikely

The accompanying table describes results from groups of 10 births from 10 different sets of parents The random variable x represents the number of girls among 10 children Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls Click the icon to view the table Use the range rule of thumb to identify a range of values that are not significant The maximum value in this range is Round to one decimal place as needed girls

A Gallup poll of 1236 adults showed that 12 of the respondents believe that it is bad luck to walk under a ladder Consider the probability that among 30 randomly selected people from the 1236 who were polled there are at least 2 who have that belief Given that the subjects surveyed were selected without replacement the events are not independent Can the probability be found by using the binomial probability formula Why or why not Choose the correct answer below OA Yes There are a fixed number of selections that are independent can be classified into two categories and the probability of success remains the same OB Yes Although the selections are not independent they can be treated as being independent by applying the 5 guideline OC No The selections are not independent and the 5 guideline is not met D No The selections are not independent

Multiple choice questions each have five possible answers a b c d e one of which is correct Assume that you guess the answers to three such questions a Use the multiplication rule to find P CWC where C denotes a correct answer and W denotes a wrong answer P CWC Type an exact answer

Based on a survey assume that 54 of consumers are comfortable having drones deliver their purchases Suppose we want to find the probability that when five consumers are randomly selected exactly three of them are comfortable with the drones What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by two consumers not comfortable as in this calculation 0 54 0 54 0 54 0 46 0 46 0 0333 Choose the correct answer below OA The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones OB The calculation assumes that the first three consumers are comfortable with drones and the last two are not but this arrangement is not possible OC There are other arrangements consisting of three consumers who are comfortable and two who are not The probabilities corresponding to those other arrangements should also be included in the result OD The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones

stion 2 stion 3 The mean is sleepwalker s Round to one decimal place as needed able of numbers of sleepwalkers and robabilities X0123 P x 0 168 0 364 0 311 0 129 X

There is a 0 9985 probability that a randomly selected 33 year old male lives through the year A life insurance company charges 199 for insuring that the male will live through the year If the male does not survive the year the policy pays out 120 000 as a death benefit Complete parts a through c below a From the perspective of the 33 year old male what are the monetary values corresponding to the two events of surviving the year and not surviving The value corresponding to surviving the year is The value corresponding to not surviving the year is Type integers or decimals Do not round b If the 33 year old male purchases the policy what is his expected value The expected value is Round to the nearest cent as needed c Can the insurance company expect to make a profit from many such policies Why because the insurance company expects to make an average ofit of on every 33 year old male it insures for 1 year Round to the nearest cent as needed

Based on a poll among adults who regret getting tattoos 19 say that they were too young when they got their tattoos Assume that nine adults who regret getting tattoos are randomly selected and find the indicated probability Complete parts a through d below a Find the probability that none of the selected adults say that they were too young to get tattoos Round to four decimal places as needed b Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos Round to four decimal places as needed 3 c Find the probability that the number of selected adults saying they were too young is 0 or 1 Round to four decimal places as needed d If we randomly select nine adults is 1 a significantly low number who say that they were too young to get tattoos because the probability that of the selected adults say that they were too young is 0 05

Find the following probabilities for the standard normal random variable a P 0 75 z 1 36 b P 1 79 z 0 75 0 c P z 1 74 d P z 1 52

According to a poll about 16 of adults in a country bet on professional sports Data indicates that 47 1 of the adult population in this country is male Complete parts a through e OA Yes A person can be both male and bet on professional sports at the same time B No A person can be both male and bet on professional sports at the same time O C Yes A person cannot be both male and bet on professional sports at the same time OD No A person cannot be male and bet on professional sports at the same time b Assuming that betting is independent of gender compute the probability that an adult from this country selected at random is a male and bets on professional sports P male and bets on professional sports 0 0754 Type an integer or decimal rounded to four decimal places as needed c Using the result in part b compute the probability that an adult from this country selected at random is male or bets on professional sports P male or bets on professional sports 0 5556 Type an integer or decimal rounded to four decimal places as needed d The poll data indicated that 9 7 of adults in this country are males and bet on professional sports What does this indicate about the assumption in part b OA The assumption was correct and the events are independent OB The assumption was incorrect and the events are not independent

the problem The weights of certain machine components are normally distributed with a mean of 8 81 g and a standard deviation of 0 06 g Find the two weights that separate the top 3 and the bottom 3 These weights could serve as limits used to identify which components should be rejected O 8 70 g and 8 92 g O 8 68 g and 8 97 g O 8 78 g and 8 84 g 8 80 g and 8 82 g

Find the indicated probability In one region the September energy consumption levels for single family homes are four to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kV For a randomly selected home find the probability that the September energy consumpt level is between 1100 kWh and 1225 kWh O 0 3791 O 0 1971 O 0 0910 O 0 2881

Human body temperatures are normally distributed with a mean of 98 20 degrees F and a standard deviation of 0 62 degrees F If 19 people are randomly selected find the probability that their mean body temperature will be less than 98 50 degrees F O 0 0833 O 0 9826