Statistics Questions

A bank offers both adjustable rate and fixed rate mortgage loans on residential properties which are classified into three categories single family houses condominiums and multifamily dwelling Suppose each loan made in 2020 was classified according to type of mortgage and type of property resulting in the following table Consider the chance experiment of selecting one of these 3 750 loans at random Round your answers to three decimal places Adjustable Fixed Rate Total Single Family Condo Multifamily Total 337 2 700 1 575 300 1 875 788 404 1 192 346 1 050 683 3 750 a What is the probability that the selected loan will be for an adjustable rate mortgage b What is the probability that the selected loan will be for a multifamily property c What is the probability that the selected loan will not be for a single family property d What is the probability that the selected loan will be for a single family property or a condo e What is the probability that the selected loan will be for a multifamily property or for an adjustable rate loan the colected loan will be a fixed rate loan for a condo

A professor assigns five problems to be completed as homework At the next class meeting two of the five problems will be selected at random and collected for grading You have only completed t first three problems b Are the outcomes in the sample space equally likely Yes No MY NOTES a What is the sample space for the chance experiment of selecting two problems at random Hint You can think of the problems as being labeled A B C D and E One possible selection of two problems is A and B If these two problems are selected and you did problems A B and C you will be able to turn in both problems There are nine other possible selections to consider Ente your answers in the form AB Enter your answers as a comma separated list c What is the probability that you will be able to turn in both of the problems selected PRACTICE ANOTHE d Does the probability that you will be able to turn in both problems change if you had completed the last three problems instead of the first three problems Explain Yes the probability does not change The problems are being selected at random and each problem is equally likely O Yes the probability does not change The problems are being selected at random and each problem is not equally likely No the probability does not change The problems are being selected at random and each problem is equally likely No the probability does not change The problems are being selected at random and each problem is not equally likely e What is the probability that you will be able to turn in both problems selected if you had completed four of the problems rather than just three

For a monthly subscription fee a video download site allows people to download and watch up to five movies per month Based on past download histories the following table gives the estim probabilities that a randomly selected subscriber will download 0 1 2 3 4 or 5 movies in a particular month Number of downloads b at most three movies c four or more movies d zero or one movie 0 e more than one movie 1 0 03 0 44 0 24 3 4 Estimated probability If a subscriber is selected at random what is the estimated probability that this subscriber downloads the following amount of movies a three or fewer movies 0 10 0 10 5 0 09

Type numbers in the boxes 10 points A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips Not every bag contains exactly the same weight But if more than 18 of bags are over filled then they stop production to fix the machine They define over filled to be more than 1 ounce above the weight on the package The engineer weighs 137 bags and finds that 41 of them are over filled He plans to test the hypotheses Ho p 0 18 versus Ha p 0 18 What is the test statistic Z Please round your answer to two decimal places if necessary

The article Scrambled Statistics What Are the Chances of Finding Multi Yolk Eggs gives the probability of a double yolk egg as 0 001 a Give a relative frequency interpretation of this probability In the long run about b If 9 000 eggs were randomly selected about how many double yolk eggs would you expect to find eggs Need Help of eggs are double yolk Read It

According to a Pew Research Center study in May 2011 33 of all American adults had a smart phone one which the user can use to read email and surf the Internet A communications professor at a university believes this percentage is lower among community college students She selects 358 community college students at random and finds that 130 of them have a smart phone In testing the hypotheses Ho p 0 33 versus Ha p 0 33 Do the hypothesis test Use a level of significance of a 0 0 0 05 Use the unrounded values in Excel find the answers for 3 and 4 hypothesis test 1 This is an example of a 2 Find the standard error 3 Find the z value 4 Find the p value C 5 The communication professor should the null hypothesis Fill in the blanks by selecting one option from each menu aby Part 1 3 points ab Part 2 3 points aby Part 3 3 points ab Part 4 3 points aby Part 5 3 points 15 points

The average salary in this city is 41 900 Is the average different for single people 37 randomly selected single people who were surveyed had an average salary of 43 932 and a standard deviation of 4 710 What can be concluded at the a 0 10 level of significance Use the classical approach a For this study we should use t test for a population mean b The null and alternative hypotheses would be Ho H PV c The test statistic t d The critical valuo LE 41900 41900 Please round your answer to 2 decimal places Ploco round your SOSwor to 2 docimal places

Use the theoretical probability formula to solve the problem Express the probability as a fraction reduced to lowest terms Use the spinner below to answer the question Assume that it is equally probable that the pointer will land on any one of the five numbered spaces If the pointer lands on a borderline spin again Find the probability that the arrow will land on 1 or 4 5 A 3 N O A B 443 G 5 2 O c 3 OD 1

Use the theoretical probability formula to solve the problem Express the probability as a fraction reduced to lowest terms A fair coin is tossed two times in succession The set of equally likely outcomes is HH HT TH TT Find the probability of getting the same outcome on each toss 1 OA OB 34 O C 1 OD 1 1 4

Use the spinner shown It is equally probable that the pointer will land on any one of the six regions If the pointer lands on a borderline spin again If the pointer is spun twice find the probability that it will land on purple and then grey Find the probability that the spinner will land on purple and then grey Type an integer or a simplified fraction MICHERCH purple she purple grey bhe

Use the theoretical probability formula to solve the problem Express the probability as a fraction reduced to lowest terms A single die is rolled twice The set of 36 equally likely outcomes is 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 Find the probability of getting two numbers whose sum is greater than 10 O A OB O C 1 18 5 18 12 OD 3

Find the median for the group of data items 97 97 94 48 71 97 A 97 B 95 5 OC 94 D 48

Find the mean for the group of data items Round to the nearest hundredth if necessary 96 96 67 94 51 96 A 100 00 B 67 33 C 80 80 D 83 33 IN

Find the mode for the group of data items If there is no mode so state 1 3 2 3 1 7 3 1 3 2 3 1 3 8 8 1 8 A no mode OB 1 3 C 8 D 1 7 WIN

Find the range for the group of data items 5 18 5 18 5 18 5 18 OA 13 B 18 C 23 OD 11 5

According to flightstats com American Airlines flights from Dallas to Chicago are on time 80 of the time Suppose 20 flights are randomly selected and the number of on time flights is recorded a Explain why this is a binomial experiment b Determine the values of n and p c Find and interpret the probability that exactly 14 flights are on time d Find and interpret the probability that fewer than 14 flights are on time e Find and interpret the probability that at least 14 flights are on time f Find and interpret the probability that between 12 and 14 flights inclusive are on time is Round to four decimal places as needed Interpret the probability In 100 trials of this experiment it is expected that about flights being on time Round to the nearest whole number as needed e Using the binomial distribution the probability that at least 14 flights are on time is will result in fewer than 14 Round to four decimal places as needed Interpret the probability In 100 trials of this experiment it is expected that about will result in at least 14 flights being on time Round to the nearest whole number as needed f Using the binomial distribution the probability that between 12 and 14 flights inclusive are on time is Round to four decimal places as needed Interpret the probability In 100 trials of this experiment it is expected that about will result in between 12 and 14 flights inclusive being on time Round to the nearest whole number as needed

possible According to flightstats com American Airlines flights from Dallas to Chicago are on time 80 of the time Suppose 20 flights are randomly selected and the number of on time flights is recorded a Explain why this is a binomial experiment b Determine the values of n and p c Find and interpret the probability that exactly 14 flights are on time d Find and interpret the probability that fewer than 14 flights are on time e Find and interpret the probability that at least 14 flights are on time f Find and interpret the probability that between 12 and 14 flights inclusive are on time C Using the pinomial distribution the probability that exactly 14 Tights are on time is Round to four decimal places as needed Interpret the probability In 100 trials of this experiment it is expected that about will result in exactly 14 flights being on time Round to the nearest whole number as needed d Using the binomial distribution the probability that fewer than 14 flights are on time is Round to four decimal places as needed Interpret the probability In 100 trials of this experiment it is expected that about will result in fewer than 14 flights being on time Round to the nearest whole number as needed e Using the binomial distribution the probability that at least 14 flights are on time is Round to four decimal places as needed nterpret the probability n 100 trials of this experiment it is expected that about will result in at least 14

According to an almanac 80 of adult smokers started smoking before turning 18 years old a Compute the mean and standard deviation of the random variable X the number of smokers who started before 18 in 200 trials of the probability experiment b Interpret the mean c Would it be unusual to observe 180 smokers who started smoking before turning 18 years old in a random sample of 200 adult smokers Why a Hx D ox Round to the nearest tenth as needed b What is the correct interpretation of the mean OA It is expected that in a random sample of 200 adult smokers 160 will have started smoking after turning 18 B It is expected that in a random sample of 200 adult smokers 160 will have started smoking before turning 18 OC It is expected that in 50 of random samples of 200 adult smokers 160 will have started smoking before turning 18 c Would it be unusual to observe 180 smokers who started smoking before turning 18 years old in a random sample of 200 adult smokers A No because 180 is greater than 20 B Yes because 180 is greater than 20 O C No because 180 is less than 20 O D Yes because 180 is between 20 and 20

According to flightstats com American Airlines flights from Dallas to Chicago are on time 80 of the time Suppose 20 flights are randomly selected and the number of on time flights is recorded a Explain why this is a binomial experiment b Determine the values of n and p c Find and interpret the probability that exactly 14 flights are on time d Find and interpret the probability that fewer than 14 flights are on time e Find and interpret the probability that at least 14 flights are on time f Find and interpret the probability that between 12 and 14 flights inclusive are on time a Identify the statements that explain why this is a binomial experiment Select all that apply A The experiment is performed until a desired number of successes are reached B The probability of success is different for each trial of the experiment C The experiment is performed a fixed number of times D There are two mutually exclusive outcomes success or failure E There are three mutually exclusive possible outcomes arriving on time arriving early and arriving late F The probability of success is the same for each trial of the experiment G Each trial depends on the previous trial H The trials are independent b Using the binomial distribution determine the values of n and p Type an integer or a decimal Do not round Type an integer or a decimal Do not round c Using the binomial distribution the probability that exactly 14 flights are on time is Pound to four decimal places as needed n p

In the probability distribution to the right the random variable X represents the number of hits a baseball player obtained in a game over the course of a season Complete parts a through f below c Compute and interpret the mean of the random variable X Hx hits Type an integer or a decimal Do not round Which of the following interpretations of the mean is correct possible X 0 1 2 Tyne an integer or a decimal Do not round 3 4 5 Type an integer or a decimal Do not round f What is the probability that in a randomly selected game the player got more than 1 hit P x 0 1667 0 3356 0 2847 OA In any number of games one would expect the mean number of hits per game to be the mean of the random variable 0 1505 0 0371 0 0254 OB Over the course of many games one would expect the mean number of hits per game to be the mean of the random variable OC The observed number of hits per game will be equal to the mean number of hits per game for most games OD The observe number of hits per game will be less than the mean number of hits per game for most games d Compute the standard deviation of the random variable X x hits Round to three decimal places as needed e What is the probability that in a randomly selected game the player got 2 hits

Suppose a life insurance company sells a 240 000 1 year term life insurance policy to a 20 year old female for 180 According to the National Vital Statistics Report 58 21 the probability that the female survives the year is 0 999544 Compute and interpret the expected value of this policy to the insurance company The expected value is Round to the nearest cent as needed CO Which of the following interpretations of the expected value is correct Select the correct choice below and fill in the answer box to complete your choice Round to the nearest cent as needed OA The insurance company expects to make a profit of OB The insurance company expects to make a maximum O c The insurance company expects to make a profit of OD on every 20 year old female it insures for 1 month profit of on every 20 year old female it insures for 1 year on every 20 year old female it insures for 1 The insurance company expects to make a minimum profit of month on every 20 year old female it insures for 1 year

2 A delivery company divides their packages into weight classes Suppose pound class are uniformly distributed a Sketch the distribution Label the graph correctly b Find the probability that the package weighs between 15 and 16 5 pounds c Find the probability that the package weighs at most 15 pounds d Find the probability that the package weighs at least 18 pounds e Find the 40th percentile of weights of packages in this weight class f Find the mean and standard deviation

d A Type I error in the context of this problem would be Select an answer e A Type II error in the context of this problem would be Select an answer Rejecting that the of all students from that college that are left handed is 11 when the is really 11 Rejecting that the of all students from that college that are left handed is different from 11 when the is reall Failing to reject that the of all students from that college that are left handed is 11 when the is really lower th Failing to reject that the of all students from that college that are left handed is 11 when the is really higher ta Failing to reject that the of all students from that college that are left handed is 11 when the is really different

It is believed that 11 of all Americans are left handed A college needs to know how many left handed desks to place in the big lecture halls being constructed on its campus In a random sample of 150 students from that college whether or not a student was left handed was recorded for each student The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left handers than the general American population State the random variable population parameter and hypotheses State the Type I and Type II errors in the context of this problem a The symbol for the random variable involved in this problem is p The wording for the random variable in context is as follows The percentage of 150 randomly selected students from that college that are left handed b The symbol for the parameter involved in this problem is The wording for the parameter in context is as followe Select an answer The percentage of 150 randomly selected students from that college that are left handed The percentage of all students from that college that are left handed The mean number of 150 randomly selected students from that college that are left handed 11 of all students from that college are left handed HA d A Type I error in the context of this problem would be Select an answer

Select the correct null and alternative hypotheses for the given claim Claim the average sugar content of donuts is greater than 16 grams Claim 16 Ho H v 16 Ha 16 If the p value is 0 0148 select the correct final conclusion There is Select on

Select the correct claim null hypothesis and alternative hypotheses for the given claim Claim the average height of all adult males in the UK is less than 178 centimeters Claim 178 Ho H v 178 Ha H 178 If the p value is 0 0231 select the correct final conlusion There is Select an answer evidence to Select an answer the original claim

It is believed that 11 of all Americans are left handed A college needs to know how many left handed desks to place in the big lecture halls being constructed on its campus In a random sample of 150 students from that college whether or not a student was left handed was recorded for each student The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left handers than the general American population State the random variable population parameter and hypotheses State the Type I and Type II errors in the context of this problem a The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows Select an answer b The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows Select an answer c Fill in the correct null and alternative hypotheses Ho HA d A Type I error in the context of this problem would be Select an answer e A Type II error in the context of this problem would be Select an answer

The makers of Mini Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal At various times in the packaging process we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal a Which of the following is a statement of the null hypothesis O The machine fills the boxes with the proper amount of cereal The average is 24 ounces O The machine is not filling the boxes with the proper amount of cereal The average is not 24 ounces O The machine is not putting enough cereal in the boxes The average is less than 24 ounces b Which of the following is a statement of the alternative hypothesis O The machine fills the boxes with the proper amount of cereal The average is 24 ounces O The machine fills the boxes with the proper amount of cereal The average is less than 24 ounces The machine is not filling the boxes with the proper amount of cereal The average is not 24 ounces Question Help

etermine if the given stochastic matrix A is regular If it is regular input the smallest exponent k for which Ak has all positive entries Otherwise inpu 1 0 5

The graph to the right is the uniform probability density function for a friend who is x minutes late a Find the probability that the friend is between 25 and 30 minutes late b It is 10 A M There is a 20 probability the friend will arrive within how many minutes Density 1 30 0 0 10 20 30X Time min a The probability that the friend is between 25 and 30 minutes late is

Let log 7 Y and log 16 S Write the expression in terms of Y and S 7 log b 216

Let log10 S and log 9 K Write the expression in terms of S and K 10 log b 729 log h 10 11

9 Write the equation of the line that passes through the two points 2 9 and 2 3 A y 3 2x 1 B y 3 2x 6 C y 3 2x 4 D y 3 2x 1 y 3 2x 6 doing back flips wrestling a bear eating pies writing linear equation juggling

4 Write the equation of the line that passes through the two points 4 11 and 2 4 A y 5 2x 4 B y 5 2x 9 C y 5 2x 1 D y 5 2x 4 E y 5 2x 21 Elmo Harry Potter Mr Van Duyn Dak Prescott TI

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 Write your answer using 8 7 6 5 4 3 2 1 T 23 2 4 5 6 8 1 2 3 4 5 6 7 8 X

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 1 8 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 7 8 X

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 1 23 2 4 5 6 7 8 1 2 3 4 5 6 7 8 KI X Write your answer using integers proper fractions and improper fractions in

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 1 4 Write your answer using intoga 8 7 6 54 3 2 1 1 56 2 3 4 7 8 1 2 3 4 5 6 7 8 X

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 1 8 7 6 5 4 32 1 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 400 8 X

Write the equation of this line in slope intercept form 8 7 6 5 4 3 2 1 Write your answer using integer 7 6 5 4 3 2 4 2 3 4 co 5 6 7 8 1 2 3 4 5 6 7 8 X

Learn with an example Write the equation of this line in slope intercept form Vrite your angu 8 7 6 5 4 3 2 8 7 6 5 4 3 2 1 1 23 4 5 6 7 8 1 or Watch a video 2 3 4 5 6 7 8 X

SHOW ALL WORK FOR CREDIT 1 point 4 Ereesha s height has a z score of 2 1 compared to the heights of girls her age What does this mean Explain using z scores or percentiles 1 point 5 Wesly is 67 tall The mean of heights for boys his age are 66 and the standard deviation is 1 3 Who is taller for their group Nadia erivan Explain using their Ereesha or wesly z scores or percentiles Kitchen appliances don t last forever The lifespan of all microwave ovens is Normally distributed with a mean of 9 years and a standard deviation of 2 5 years SHOW ALL WORK FOR CREDIT 3 points 6 What percentage of microwave ovens last less than 5 years 3 points 7 What percentage of microwave ovens last between 5 and 11 years OFFS 3 points 8 75 of all microwave ovens last less than how many years

SHOW ALL WORK FOR CREDIT A Good Luck to yamin a b c x mean Formulas z standard deviation Procedure for finding percentile from data value 1 use z score formula to find z score 2 Look up percentile value on table and follow rules below Less Than table value 71 Vilarques Greater Than 1 table value Between Larger table value smaller table value Procedure for finding a data value from a percentile 1 Look up percentile and find z score 2 Use z score formula and solve for x 83 86 89 PROY XROLLA WOHZ The weights of a species of insect follow a Normal distribution with mean 80 grams and standard deviation 3 grams 5 points 1 Label the graph using info above TIED 13 5 12 281 5 34 34 13 5 2 5 74 71 80 2 points 2 About what percent of the insects have weights between 77 grams and 86 grams 34 34 13 5 Namog E lo 31 8 aniog 2 points 3 Above what weight are the largest 16 percent of these insects

13 Sketch a normal curve Show several interesting facts about the curve on the sketch urnful piece of data

An experiment is performed where a 3 color spinner is spun and then a 6 sided die is rolled The possible outcomes for each event are red R blue B and yellow Y for the 3 color spinner and 1 2 3 4 5 and 6 for the 6 sided die Identify the sample space for this experiment Answer Separate the elements of the sample space with commas Keypad Keyboard Shortcu

The accompanying bar graphs compare women s W and men s M hourly wages in a recent year In what age and wage categories do women and men seem to be most equal Click the icon to view the bar graphs X Women and men seem to be most equal for ages earning MID per hour bar graphs Earning Less than 9 51 Hr 25 20 24 16 19 25 10 Earning 9 51 to 11 49 Hr 20 24 16 19 IM W 25 20 24 W 0 20 40 60 60 80 Earning at Least 11 50 Hr M W M IW 15 80 100 Q Q Q Q Q Q

Question 1 35 Points A soil profile is provided below The estimated stresses from a spread footing overlying a 10 meter thick normally consolidated clay layer are 180 0 kN sq m top of the clay layer 64 3 kN sq m bottom of the clay layer 97 2 kN sq m middle of the clay layer Estimate the primary settlement in meters of the clay layer assuming Cc Cc log 1 eo 0 44 and Cs Cs log 1 eo 0 08 taken from consolidation curves Assume the pre consolidation pressure is 100 kN sq m Assume no settlement from the overlying sand layer dan 17 3 V YSAT 19 81 KNV m FN m SAND CLAY Depth 0 GS l 3 m 1 00

x Cows With Crosses o Cows With Eyes XXOOO0 XXO Attacked Cows OXOXOXOXXOO oooxxx oxxxx OOOXOX XXOO 000XXXOOXO XxOx XOXOX XxxO OOXX XOOX XOOX XOXOOX00000 OOOOXOOXX xoxooxo 00xxx xxxxoxoxoxox Coxooxxo In one herd 100 cows were randomly assigned to receive eyes while another 100 cows received crosses The herd was then observed over a month long period for attacks from predators Click the start button to see which cows were attacked over the month long period Based on the results of the experiment does it appear that there was a significant difference in predator attacks for those cows marked with crosses compared to eyes Explain your choice The difference is significant The difference is not significant

Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1 4 month 14 randomly selected people were asked what age they learned to walk Round all answers to 4 decimal places where possible a What is the distribution of X X NO b What is the distribution of N c What is the probability that one randomly selected person learned to walk when the person was between 11 and 13 months old d For the 14 people find the probability that the average age that they learned to walk is between 11 and 13 months old e For part d is the assumption that the distribution is normal necessary O Yes No f Find the IQR for the average first time walking age for groups of 14 people Q1 months Q3 months IQR months

21 The number of times x an adult human breaths per minute when at rest has a probability distribution that is approximately normal with the mean 16 and standard deviation 4 a If a person is selected at random and the number x of breaths per minute while at rest is recorded what is the probability that x will exceed 22 b If another person is recorded to have been taking 10 breaths per minute is that unusual