Statistics Questions and Answers

Find the a mean b median c mode and whether a deficiency of carbon dioxide in th soil affects the phenotype of peas Listed below are the phenotype codes where 1 smoothie yellow 2 smooth green 3 wrinkled yellow 4 wrinkled green Do the results make sense 3 2 4 1 3 2 4 4 2 2 4 4 4 3 a The mean phenotype code is Select b The median phenotype code is Select c The mode phenotype code is Select Do the measures of center make sense Select V V

An electronics store placed an ad in the newspaper showing LED TVs for sale The ad says Our LED TV s average 649 The prices of the LED TVS are 1149 995 1449 899 649 1049 1249 and 649 a Find the mean median and mode of the prices The mean is Select as needed The median is Select cent as needed The mode is Select The store is using the Select Round to the nearest cent b Which measure is the store using in their ad Why did they choose to use it Select Select makes their TVs appear less expensive giver the su Round to the nearest because it

The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn Is it likely or unlikely you will draw a number less than 7 O Likely ONeither the chances are equally likely Unlikely

Ajar contains 12 caramels 7 mints and 16 dark chocolates What is the probability of selecting a mint Enter your answer in reduced fraction form Example 1 2

2 2 pts Match each scatterplot to its correlation coefficient A 0 64 B 0 03 C 0 91 Y Values 32 29 4 26 8 242 21 6 19 16 4 13 8 11 2 8 6 9 Letter 869 842 82 4 00 6 70 0 77 752 73 4 71 6 69 8 60 08 3 15 16 9 T 9 8 11 0 134 15 2 17 X Values Scatterplot n 20 108 20 7 Scatterplot n 20 18 8 200 10 0 22 6 245 28 4 X Values 22 4 242 26 28 3 30 2 32 1 34 Y Values 34 32 30 11 8 8 9 28 26 24 22 20 18 15 146 15 35 32 1 29 2 20 3 234 20 5 17 6 14 7 15 16 9 18 0 20 7 16 0 2 18 0 20 7 Scatterplot n 20 Scatterplot n 20 D 0 89 226 24 5 264 28 3 302 321 X Values Letter 226 245 28 4 20 3 302 321 34 x Valves 34

1 The Nielsen Company measured connection speeds on home computers in seven different countries The table shows the percent of internet users with a fast connection and the average amount of time spent online in hours per week Country United States Germany Australia United Kingdom France Spain Italy Fast Connection x 70 72 64 75 70 69 64 b 3 pts Find the least squares regression line Heurs Online y 26 28 23 a 2 pts Find the correlation coefficient and describe the association between Fast Connection and Hours Online 28 27 27 24 Name c 2 pts Estimate the expected average number of hours spent online per week if 70 of homes have a fast connection ted States Page 1 in what

1 6 pts Resveratrol an ingredient in red wine and grapes has been shown to promote weight loss in rodents One study investigates whether the same phenomenon holds true in primates The grey mouse lemur a primate demonstrates seasonal spontaneous obesity in preparation for winter doubling its body mass A sample of six lemurs had their resting metabolic rate body mass gain food intake and locomotor activity measured for one week prior to resveratrol supplementation to serve as a baseline and then the four indicators were measured again after treatment with a resveratrol supplement for four weeks Some p values for tests comparing the mean differences in these variabl are given below In parts a d state the conclusion of the test using a 5 significance level and interpret the conclusion in context HINT For thinking of the null alternative hypothesis the null would be that there is no change and the alternative would be what they are trying to test as described in the wording in each part a In a test to see if mean resting metabolic rate is higher after treatment p value 0 013 b In a test to see if mean body mass gain is lower after treatment p value 0 007 c In a test to see if mean food intake is affected by the treatment p value 0 035 d In a test to see if locomotor activity is affected by the treatment p value 0 980 e In which test is the strongest evidence for rejecting the null found The weakest Page 1

In an article on Flurry Blog a gaming marketing gap for men between the ages of 30 and 40 is identified You are researching a startup game targeted at the 35 year old demographic Your idea is to develop a strategy game that can be played by men from their late 20s through their late 30s Based on the article s data industry research shows that the average strategy player is 28 years old with a standard deviation of 4 3 years You take a sample of 120 randomly selected gamers If your target market is 29 to 40 year olds What is the probability of men wanting to play Should you continue with your development strategy

N m 4 A box has three cards numbered 1 2 and 3 A bag has three balls labeled A B and C Hong will randomly pick a card from the box and r Then he will randomly pick a ball from the bag and Give the sample space describing all possible outco Then give all of the outcomes for the event that th Use the format 1A to mean that the number chose If there is more than one element in the set separ

The number of requests for assistance received by a towing service is a Poisson process with rate a 4 per hour a Compute the probability that exactly ten requests are received during a particular 2 hour period Round your answer to three decimal places b If the operators of the towing service take a 30 min break for lunch what is the probability that they do not miss any calls for assistance Round your answer to three decimal places c How many calls would you expect during their break You may need to use the appropriate table in the Appendix of Tables to answer this question

Specify how businesses can promote ethical behavior

How is Guidance Software responding to and helping to manage changes in our technology driven world What other types of forensics software do you foresee a need for in the future Do you think there are ethical issues in using forensics software and why What are the benefits and risks of Guidance Software being acquired by a larger company

Discuss ONE of the following Define accounting and describe the different uses of accounting information Identify the relationship between money credit and financial institutions Identify the major factors impacting the success of small businesses

the average amounts in metric tons of CO emissions for certain years per person in the United States and per person in the rest of the world Use a TI 84 calculator to answer the following Year 1990 1991 1992 1993 1994 1995 1996 2000 2001 2006 Send data to Excel Part 1 of 3 Non U S 3 6 3 6 3 5 3 3 3 3 3 3 3 4 3 3 3 3 3 7 a Compute the least squares regression line for predicting U S emissions from non U S emissions Round the slope and y intercept values to four decimal places Part 1 3 U S 19 2 19 0 18 8 19 7 19 8 19 5 19 7 20 0 19 6 19 0 Regression line equation y 26 709 2 1222x

ou run a commercial website that specializes in the sale of video games The following statistics show the number of downloads of your five on line video games last week Game Downloads Dragon Quest 130 2 Fill in the following relative frequency table and press Check Outcome Relative Frequency Dragon Quest 0 65 X Star Pilot 40 Star Pilot 0 2 Galactic Warrior 4 X Check Hint 10 Galactic Warrior 4 X 0 05 Reset Detective III 50 Detective III 0 25 X Advanced Star Pilot 20 Advanced Star P 0 1

Question 12 A six sided die is rolled 3 times Use the bin a Find the probability of rolling exactly one b Find the probability of rolling no more tha

Interpreting technology The following display from the TI 84 Plus calculator presents the least squares regression line for predicting the price of a certain stock y from the prime interest rate in percent x LinReg y a bx a 1 5685156 b 0 35417004 0 4043969045 r 0 63592209

Game Downloads 12es in the sale of video games The following statistics show the number of downloads of your five on line video games last week Dragon Quest Star Pilot 60 120 Fill in the following relative frequency table and press Check Dragon Quest Outcome Star Pilot Galactic Warrior 4 15 Galactic Warrior 4 Detective III 50 Detective III Advanced S 5 Advanced

bout 80 of babies born with a certain ailment recover fully A hospital is caring for five babies born with this ailment The random variable represents the number of babies that cover fully Decide whether the experiment is a binomial experiment If it is identify a success specify the values of n p and q and list the possible values of the random variable

onsider an experiment where a pair of dice one red one green is thrown and the number facing up on each die is notec Let A be the event that neither number exceeds three The event A is the event that A B C D at least one number is three or more at least one number exceeds three both numbers exceed three both numbers are at least three

QA coin is tossed three times and the sequence of heads and or tails is noted The event that heads comes up at most twice is A 3 8 B HHT HTT TTT D E F G HHT HTH THH HTT THT TTH TTT HHH HHT HTH THH 7 8 HHT HHH None of these

In an experiment where a pair of distinguishable dice one red one green is thrown and the number facing up on each die is noted the sample spac 1 2 3 4 5 6 1 2 3 4 5 6 4 6 8 9 10 12 15 16 18 20 24 25 30 36 11 21 A C E G 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 B D F H 2 3 4 5 6 7 8 9 10 11 12 The set of all integers from 1 to 36 36 13 1 1 1 2 1 3 1 4 1 5 1 6 2 2 2 3 2 4 2 5 2 6 3 3 3 4 3 5 3 6 4 4 4 5 4 6 5 5 5 6 6 6

Dozen Eggs 0 94 0 89 1 03 0 88 0 92 0 86 0 93 0 92 0 92 0 94 Send data to Excel Part 1 of 3 Gallon of Milk 2 85 2 76 2 85 2 89 2 91 2 93 2 89 2 94 2 95 2 89 Compute the least squares regression line for predicting the price of milk from the price of eggs Round the slope and y intercept to at least four places Regression line equation y 0 1883x 3 0598 Part 1 3 Part 2 of 3

Foot temperatures Foot ulcers are a common problem for people with diabetes Higher skin temperatures on the foot indicate an increased risk of ulcers In a tudy performed at the Colorado School of Mines skin temperatures on both feet were measured in degrees Fahrenheit for 8 diabetic patients The results are resented in the following table Use a TI 84 calculator to answer the following Left Foot Right Foot 85 85 87 82 78 86 76 80 88 75 Send data to Excel Part 0 4 Part 1 of 4 78 85 80 80 89 80 Compute the least squares regression line for predicting the right foot temperature from the left foot temperature Round the slope and y intercept values to four decimal places

In analyzing hits by certain bombs in a war an area was partitioned into 574 regions each with an area of 0 95 km A total of 525 bombs hit the combined area of 574 regions Assume that we war HeH identify the values of x and e Also briefly xt to find the probability that a randomly selected region had exactly two hits In applying the Poisson probability distribution formula P x describe what each of those symbols represents Identify the values of x and e x and e Type integers or decimals rounded to five decimal places as needed

factory has reported that 81 of their mechanical keyboards remain in a consumer s household over a year Assuming a z score of 1 96 calculate the margin of error for a batch of 500 keyboards 2 2 3 5 0 95 8

LT HIGH SCHOOL 40 HIGH SCHOOL GRADUATE ASSOCIATE DEGREE SOME COLLEGE 15 BACHELOR S DEGREE GRADUATE DEGREE Frequency Total 60 200 25 40 20 200 O Less than high school O Some college Percent 20 00 30 00 7 50 12 50 20 00 10 00 100 00 Valid 20 00 30 00 7 50 12 50 20 00 10 00 100 00 Cumulative 20 00 50 00 57 50 70 00 90 00 100 00

At the final exam in a statistics class the professor asks each student to indicate how many hours he or she studied for the exam After grading the exam th professor computes the least squares regression line for predicting the final exam score from the number of hours studied The equation of the line is y 45 4x Part 1 of 2 a Antoine studied for 3 hours What do you predict his exam score will be Antoine s exam score is predicted to be 57 Part 1 2 Part 2 of 2 b Emma studied for 2 hours longer than Jeremy did How much higher do you predict Emma s score to be

ate luiz Question 9 of 12 An admissions director wants to estimate the mean age of all s of the population mean Assume the population of ages is norm a Determine the minimum sample size required to construct a population standard deviation is 1 8 years b The sample mean is 20 years of age Using the minimum sa the population mean could be within 8 of the sample mean Click here to view page 1 of the Standard Normal Table Click

variate 5 Quiz K Question 5 of 12 Use the standard normal distribution or the t distribution to c your decision If neither distribution can be used explain wh In a random sample of 14 mortgage institutions the mean in the interest rates are normally distributed

following table Use a TI 84 Plus calculator to answer the following Right Foot 89 90 86 82 78 87 80 85

Questi a random sample of 28 families the hether a normal distribution or a t dist erval Assume the distribution of wee

Question 10 of 12 at a local hospital is interested in estimating 0 confident that the true mean is within 2 ou is known to be 9 ounces

hoose the corrent Question 7 of 12 When estimating a population mean are you more likel xplain your reasoning

K Find the critical value ze that con OA 1 96 OB 2 33 OC 2 575 OD 1 645

Find the critical value t for c 0 99 OA 3 250 OB 1 833 OC 3 169 OD 2 262

X y 1 4 38 5 9 26 The correlation coefficient is r 7 20 5 8 10 34 7 6 Round the answer to three decimal places as nee

According to recent research 51 of Americans have less than 475 in the bank for an emergency Let be the proportion of people who have less than 475 in the bank for an emergency in a random sample of 97 Americans Determine the probability that the proportion of people in a random sample of 97 Americans who have less than 475 in the bank for an emergency is within 3 of the population proportion Round the solution to four decimal places Pp within 3 of the population proportion Determine the probability that the proportion of people in a random sample of 97 Americans who have less than 475 in the bank for an emergency is less than the population proportion by 11 or more Round the solution to four decimal places P p less than the population proportion by 11 or more

the pond came back the next few days and caught 10 fish each day releasing the fish at the end of each day Record the results below Record the data above for Day 1 Your Gizmo screen should be on the CALCULATE tab Tagged fish in pond should be set to 100 and Fish to catch should be set to 10 Press Catch and check and then record the data for Day 2 Repeat the process for days 3 and 4 Day 1 Day 2 Day 3 Day Number of fish tagged out of 10 fish caught Experimental probability of catching a tagged fish id 67884 Estimated number of fish in pond Round to the nearest fish

According to the Pew Research Center 34 of Americans have not read a book in the past year Let be the proportion of people that have not read a book in the past year in a random sample of 410 Americans Determine the following probabilities Round probability solutions to four decimal places and values to two decimal places if necessary Find the probability that in a random sample of 410 Americans at least 111 people have not read a book in the past year PpZ Find the probability that in a random sample of 410 Americans between 139 and 164 people have not read a book in the past year P

According to the U S Census Bureau 31 7 of Floridians have earned a bachelor s degree Let o be the proportion of people that have earned a bachelor s degree in a random sample of 470 Floridians Determine the following probabilities Round solutions to four decimal places if necessary Find the probability that in a random sample of 470 Floridians greater than 38 4 have earned a bachelor s degree P p 0 384 Find the probability that in a random sample of 470 Floridians between 31 2 and 38 5 have earned a bachelor s degree P 0 312 0 385

sample size corresponds to each graph 5 2 3 2 1 1 5 4 3 2 1 05 0 4 0 3 0 2 0 1 05 0 4 0 1 03 0 2 0 1 0 1 35 n 60 n 78 and n 96 determine which 05 04 04 0 3 0 2 0 3 0 1 0 2 0 1 0 51 1 1 1 2 2 2 3 3 3 4 Q 4 5 Q Q

According to a recent Pew Research poll 65 of Americans say that the U S economic system unfairly favors the powerful In a recent sample of 630 Americans 499 agreed that the U S economic system unfairly favors the powerful Determine the values of p and p Round solutions to two decimal places if necessary p Q

Suppose the standard deviation of the ages of all Florida panthers is 15 1 years Let be the mean age for a sample of a certain number of Florida panthers What sample size will give the standard deviation of equal to 0 9 years Round the solution up to the nearest whole number if necessary n

Consider a population where 65 of observations possess a desired characteristic Furthermore consider the sampling distribution of a sample proportion with a sample size of n 176 Use this information to determine the following probabilities Round solutions to four decimal places if necessary Find the probability that in a random sample of 176 observations less than 77 of the observations possess the desired characteristic P p 0 77 Find the probability that in a random sample of 176 observations between 63 and 69 of the observations possess the desired characteristic P 0 63 p 0 69

The standard deviation of the lifespan of a certain brand of LED light bulbs is 12 months The quality control department at this company takes a random sample of 70 LED light bulbs and finds the mean lifespan of sample is 148 months What is the probability that this sample mean is within 4 months of the mean of all light bulbs produced by the company Round the solution to four decimal places if necessary P within 4 months of

Suppose that 41 of voters in Martin county support a proposed restaurant tax Consider the sampling distribution of the sample proportion of supporters with sample size n 114 Determine the mean and standard deviation of the sampling distribution of p Round solutions to four decimal places if necessary What is the mean of this distribution What is the standard error of this distribution

The indicated function y x is a solution of the given differential equation Use reduction of order or formula 5 in Section 4 2 1 X f Y2 E Y y x e SP x dx x x dx as instructed to find a second solution y x 4x y y 0 y x In x 5

A population distribution is normally distributed with u 137 and o 40 Use this information to determine the following two probabilities Round solutions to four decimal places if necessary Find the probability that a single randomly selected observation is greater than 127 P x 127 Find the probability that a sample of 121 randomly selected observations has a mean greater than 127 P 127

Consider a population of size N 11 100 with a mean of Compute the following z values for sampling distributions of decimal places if necessary Suppose a random sample of 120 observations is selected from the population Calculate the z value that corresponds to 184 193 and standard deviation of a 30 with given sample size Round solutions to two Suppose a random sample of 72 observations is selected from the population Calculate the z value that corresponds to 195 2 Suppose a random sample of 113 observations is selected from the population Calculate the z value that corresponds to 197 2 Suppose a random sample of 57 observations is selected from the population Calculate the z value that corresponds to 199