Statistics Questions

Consider the following box and whisker plot Match the letters with the values 18 1 Y D 2 X 3 Z A Mean B Q3 c Q1 D Max D 20 38 40 58 68 78 Z 1 88 98 188

In a statistics class with 136 students the professor records how much money each student has in their possession during the first class of the semester The histogram below is of the data collected Click on the image for a larger view Frequency 60 50 40 30 20 10 0 0 10 20 30 40 50 60 A 70 OB 60 OC 40 D 50 a The number of students with under 10 dollars in their possession is closest to A about 20 B about 10 b The percentage of students with over 20 dollars in their possession is C over 40 D about 30 Amount of Money c The histogram 100 A is skewed right B has an outlier Oc is asymmetric D all of the above

Table 1 Individual measurements of maximum grip strength in Newtons in the dominant and non dominant hands of nine students 1 Student ID 8 9 Dominant 31 3 Non dominant 22 5 32 5 data value Step 4 1 2 3 4 5 6 28 0 deviation d 34 1 21 0 26 2 29 6 27 1 29 5 29 7 31 0 mean Problem 1 Calculate the standard deviation and standard error for both the dominant and non dominant hand Step 2 Square each of the deviation values Step 3 Sum the deviations d Sample 1 28 5 29 8 34 6 Step 1 Subtract each data value from the mean of the sample set This equals the deviation value 34 6 deviation sum of d 31 0 27 0 Sample 2 data value mean sum of d2

of 2 Book Print erences c The collection of the note on september 30 is not yet recorded by the company Required 1 Prepare the September 30 bank reconciliation for this company Bank statement balance Add Deduct Adjusted bank balance CHAVEZ COMPANY Bank Reconciliation September 30 Book balance Add Deduct Adjusted book balance

ces Required 1 Required 2 Prepare a petty cash payments report for February with these categories delivery expense mileage expense postage expense merchandise inventory for transportation in and office supplies expense Note Round your answers to 2 decimal places Delivery expense Mileage expense Postage expense Required 3 Office supplies expense Tetel Merchandise inventory transportation in NAKASHIMA GALLERY Petty Cash Payments Report for February

Solve for u 12 u 47 72 U

Find the first three terms of the sequence defined below where n represents the position of a term in the sequence Start with n 1 an 2 2

2 2 5 points Palmona Company establishes a 270 petty cash fund on January 1 On January 8 the fund shows 165 in cash along with receipts for the following expenditures postage 44 transportation in 13 delivery expenses 15 and miscellaneous expenses 33 Palmona uses the perpetual system in accounting for merchandise inventory 1 Prepare the entry to establish the fund on January 1 2 Prepare the entry to reimburse the fund on January 8 under two separate situations a To reimburse the fund b To reimburse the fund and increase it to 320 Hint Make two entries No 1 2 Date January 01 January 08 Petty cash Cash Postage expense Transportation in Delivery expense Miscellaneous expenses Cash Answer is not complete General Journal 300 3 3 Debit 270 36 x 13 15 25 X 50 X Credit 270 Return to question 89 x

The staff of a game show tracked the performance of all the contestants during the past season This graph shows the data they collected Game show scores Number of people 40 35 HT 40 59 60 79 80 99 100 119 10 50 0 19 20 39 Scores How many people were on the game show last season people

What is the area of the shaded region 11 mi square miles 14 mi 9 mi 6 mi

8 United Research Associates URA had received a contract to produce two units of a new cruise missile guidance control The first unit took 4 000 hours to complete and cost 40 000 in materials and equipment usage The second took 3 000 hours and cost 26 000 in materials and equipment usage Labor cost is charged at 22 per hour The prime contractor has now approached URA and asked to submit a bid for the cost of producing another 20 guidance controls Use Exhibit 6 4 and Exhibit 6 5 a What will the last unit cost to build Round your answer to the nearest clollar amount Answer is complete but not entirely correct 92 000 x Cost of last unit b What will be the average time for the 20 missile guidance controls Round your answer to the nearest whole number Answer is complete but not entirely correct 70 000 hours Average time c What will the average cost be for guidance control for the 20 in the contract Round your answer to the nearest collar amount

k es United Research Associates URA had received a contract to produce two units of a new cruise missile guidance control The first unit took 4 000 hours to complete and cost 40 000 in materials and equipment usage The second took 3 000 hours and cost 26 000 in materials and equipment usage Labor cost is charged at 22 per hour The prime contractor has now approached URA and asked to submit a bid for the cost of producing another 20 guidance controls Use Exhibit 6 4 and Exhibit 6 5 a What will the last unit cost to build Round your answer to the nearest dollar amount Cost of last unit b What will be the average time for the 20 missile guidance controls Round your answer to the nearest whole number Average time hours c What will the average cost be for guidance control for the 20 in the contract Round your answer to the nearest dollar amount

Problem 6 2 Algo Company Z is just starting to make a brand new product it has never made before It has completed two units so far The first unit took 26 hours to complete and the next unit took 21 hours Based only on this information what would be the estimate of the learning percentage in this process Round your answer to 1 decimal place Estimated learning percentage

Johnson Industries received a contract to develop and produce four high intensity long distance receiver transmitters for cellular telephones The first took 2 200 labor hours and 40 000 worth of purchased and manufactured parts the second took 1 450 labor hours and 30 400 in parts the third took 1 190 labor hours and 26 450 in parts and the fourth took 928 labor hours and 22 500 in parts Johnson was asked to bid on a follow on contract for another dozen receiver transmitter units Hint There are two learning curves one for labor and one for parts Use Exhibit 6 5 a How many labor hours should Johnson estimate are needed for the additional 12 units Round your answer to the nearest whole number Estimated labor hours b How much should Johnson estimate the parts cost will be for the additional 12 units Round your answer to the nearest dollar amount

Problem 6 8 Algo Lambda Computer Products competed for and won a contract to produce two prototype units of a new type of computer that is based on laser optics rather than on electronic binary bits The first unit produced by Lambda took 5 000 hours to produce and required 250 000 worth of material equipment usage and supplies The second unit took 4 250 hours and used 237 500 worth of materials equipment usage and supplies Labor is 25 per hour Use Exhibit 6 5 a Lambda was asked to present a bid for 10 additional units as soon as the second unit was completed Production would start immediately What would this bid be

Problem 6 3 Algo Omega Technology is starting production of a new supercomputer for use in large research universities It has just completed the first unit which took 160 labor hours to produce Based on its experience it estimates its learning percentage to be 80 percent How many labor hours should it expect in manufacturing the second unit Round your answer to 1 decimal place Expected production time for second unit labor hours

Problem 6 1 Algo A time standard was set as 0 20 hour per unit based on the 100th unit produced Assume the task has a 60 percent learning curve Refer to Exhibit 6 4 What would be the expected time of the 200th 400th and 800th units Do not round intermediate calculations Round your answers to 2 decimal places Unit 200th 400th Time hours hours

Clue is a board game in which you must deduce three details surrounding a murder In the original game of Clue the guilty person can be chosen from 6 people and there are 6 different possible weapons and 9 possible rooms At one point in the game you have narrowed the possibilities down to 2 people 5 weapons and 7 rooms What is the probability of making a random guess of the guilty person murder weapon and location from your narrowed down choices and the guess being correct Enter a fraction or round your answer to 4 decimal places if necessary Answer Keypad Keyboard Shortcut Tables

Suppose that 8 out of the 19 doctors in a small hospital are General Practitioners 6 out of the 19 are under the age of 45 and 4 are both General Practitioners and under the age of 45 What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45 Enter a fraction or round your answer to 4 decimal places if necessary Answer Keypa Keyboard Shorts Tables

The type and number of fish caught in the Charleston Harbor in March was recorded for a month The results are recorded in the table below What is the probability that the next fish caught is a drum or a flounder Enter a fraction or round your answer to 4 decimal places if necessary Answer Flounder 283 Number of Fish Caught in March Red Drum Black Drum Bluefish 288 356 164 Sea Trout 227 Tables Keypad

An eight sided die which may or may not be a fair die has four colors on it you have been tossing the die for an hour and have recorded the color rolled for each toss What is the probability you will roll an orange on your next toss of the die Express your answer as a simplified fraction or a decimal rounded to four decimal places blue 39 orange 33 purple 31 brown 30

Suppose that the weekly unit sales for two small franchise stores in Virginia and Arizona are recorded over a one year period The following boxplots display the resulting weekly unit sales in intervals of 25 150 Arizona Virginia 175 200 225 Weekly sales product units 250 275 Select all of the statements that describe the two boxplots above The median of weekly unit sales in Virginia is equivalent to the median of weekly sales in Arizona The top 25 of weekly unit sales in Virginia has less variation than the top 25 of weekly sales in Arizona Weekly unit sales in Virginia are more consistent than weekly sales in Arizona Weekly unit sales in Arizona have more extreme values than weekly sales in Virginia oldu unit roles in Virginia is less than the first quartile of weekly unit sales in Arizona

From the stem and leaf plot below determine the mean median and mode s of the data Record answers that are not integers to two decimal places NOTES 1 If there is more than one mode list all of them separated by commas 2 If there is no mode write None Mean Median 10 9 35 8 01123468 7 12345689 05789 5 0133478 65432 Mode

adults A sample of ten sets of identical twins were weighed and had their weights recorded in 10 points kilograms The researcher wishes to test whether there is a statistically significant difference in adult weight between first born and second born identical twins Source M J Tramo W C Lodtus T A Stukel R L Green J B Weaver and M S Gazzaniga Brain Size Head Size and Intelligence Quotient in Monozygotic Twins Neurology 50 1246 52 Given the design of the study and the question of interest which one of the following computer outputs is relevant to use A O B O C O D O Paired T Test and Cl Sample N Mean StDev SE Mean First Born 10 77 59 23 38 Second Born 10 78 02 17 36 7 39 5 49 Difference 10 0 43 11 83 3 74 95 upper bound for mean difference 6 43 T Test of mean difference 0 vs 0 I Value 0 12 P Value 0 455 Two Sample T Test and Cl Sample N Mean StDev SE Mean First Born 10 77 6 23 4 7 4 Second Born 10 78 0 17 4 5 5 Difference mu First Born mu Second Born Estimate for difference 0 43 95 upper bound for difference 15 64 T Test of difference 0 vs I Value 0 05 P Value 0 482 DF 16 Paired T Test and Cl Sample N Mean StDev SE Mean First Born 10 77 59 23 38 Second Born 10 78 02 17 36 7 39 5 49 Difference 10 0 43 11 83 3 74 95 CI for mean difference 8 89 8 03 T Test of mean difference 0 vs not 0 I Value 0 12 P Value 0 911 Two Sample T Test and Cl Sample N Mean StDev SE Mean First Born 10 77 6 23 4 Second Born 10 78 0 17 4 7 4 5 5

Joan took 4 courses last semester Calculus Physics History and Spanish The means and standard deviations for the final exams and Joan s scores are given in the table below Convert Joan s score into z scores Subject Mean Stand dev Joan s score Joan s z score Calculus 70 12 64 Physics 60 14 84 5 History 53 16 57 Spanish 44 12 56 On what exam did Joan have the highest relative score Enter the subject

A bag contains 100 lettered tiles The table below shows the frequency of each letter Consider Y as a consonant J K Q X Z 1 B C F P V W Y G H M D L S U 2 3 4 Letters Number of tiles Part A N R T 6 Show Hints O 8 A I 9 E Let A be the event of randomly selecting an E Let B be the event of randomly selecting a letter in the word mathematics 12 Determine whether the events are mutually exclusive or inclusive Select the words from the drop down list to correctly complete the sentence

Martina is learning about the 50 states of the United States WA CA HI NV 10 9 UT AZ AK MT NV UT WY A VT OH MI MN ND CO NM AZ NM ND SD NE IA MT ID TX MN PA CA AK ME Wi KS MO OK AR MI IL IN OH KY TN Gulf of Mexico PA SC MS AL GAY NH To help her learn their locations she created the Venn diagram shown below using the postal codes of the states NC B LA MS AL FL GA SC NC NY NH TX VA MD DE WA NJ CT RI MA OR HI MA CT NI DE MD C WY CO SD NE WI WV KS OK IA AR MO IL IN KY TN Set A includes states that border Canada or Mexico and set B includes the states that border an ocean or the Gulf of Mexico Note that Pennsylvania share a water border with Canada but Wisconsin does not What is the probability that a randomly selected state borders Canada or Mexico or does not border an ocean or gulf the box Sign out ES Sep 11 10

Jorge has a 12 sided number cube with sides labeled 1 12 When the cube is rolled each side is equally likely to face up What is probability of rolling an even number or a prime number Enter the correct value in the box Show Hints The probability of rolling an even number or a prime number is 7 8 9

Twenty game tokens numbered 51 through 70 are placed in a box Let A be the event that a multiple of 3 is randomly chosen from the box Let B be the event that an even numbered token is randomly chosen from the box The Venn diagram below models the situation 53 61 55 65 A 51 AC 57 63 69 A 67 59 Make a two way relative frequency table to represent A B AC and BC Enter the correct numbers in the boxes to complete the table B 54 52 56 58 B 60 66 62 64 68 70 Show Hints BC Total 0 35

l kens numbered 31 through 70 are placed in a box Let A be the event that a multiple of 3 is randomly chosen from the box Let B be the event that a multiple of 8 is randomly chosen from the box The Venn diagram below shows which numbers are elements of event A and which are elements of event B 52 53 61 62 55 A A 51 54 57 60 63 66 69 65 58 67 B Show Hints 68 59 Make a two way frequency table to represent A B AC and BC Enter the correct numbers in the boxes to complete the table B 70 B 56 64 Total 7

Consider the spinner shown 12 11 10 9 1 8 Part A 2 7 3 4 5 Find P blue or 1 Enter the correct value in the box

8 spunt SHOWN Part A Find P even or not blue Enter the correct value in the h

Consider the spinner shown C11 Part A Find P 8 or pink Enter the correct value in the box

Consider the spinner LD 6 5 7 4 Part A 8 3 1 2 10 Find P green or even Enter the correct value in the box

Two researchers studying the behavior of wolves at Isle Royale National Park in Lake Superior collect the following information about a pack of five wolves Each wolf s gender Each wolf s height in inches measured from photographs The average number of hours per day each wolf spends hunting Whether each wolf prefers to hunt in the woods in fields or shows no preference An estimate of the average weight in pounds of food eaten per day by each wolf Which of the following best describes the individuals and variables that are being measured O The five wolves are the individuals There are three categorical variables and two quantitative variables O The two researchers are the individuals There are two categorical variables and three quantitative variables O The two researchers are the individuals There are three categorical variables and two quantitative variables O The five wolves are the individuals There are two categorical variables and three quantitative variables

Write the vector equation for finding the sum of moments that forces Fc and FE create about the base of pole C Write a different vector equation that can also be used to compute this same moment about the base of pole C Z A 6 ft 2 ft Fc 490 lb FB 600 16 4 ft 2 ft 3 ft B 4 ft 4 ft

Write the vector equation for computing the moment of force F about axis AB Will your answer be a scalar or a vector F 501 40 20k lb C X 2 ft A 3 ft N 4 ft B

Determine the moments created by the following forces about the origin consider both magnitude and direction Moment created by the 50 N force Moment created by the 100 N force Moment created by the 400 N force Moment created by the 500 N force 400 N 500 N 3m 50 N 0 5 m

Determine the combined moment created by the 400 N force about point O O 0 4 m 0 2 m 30

How does the magnitude of the applied force affect the induced moment How does the perpendicular distance moment arm affect the induced moment Mo Fd

Moments Torques Determine the combined moment created by the 250 N force about point O 30 3 m 250 N

Forces and Moments are physical examples of vectors Describe the magnitude and direction of a force vector in your own words Describe the magnitude and direction of a moment vector in your own words

Notation couple moment vectors are typically represented as Curled arrow wrapped around a straight arrow 3D Straight arrow with double arrowhead 3D Curled arrow 2D 1 2

Colleen Terresa and Mary are vying for a position as editor Colleen who is tested with group I gets a score of 62 on her test Terresa who is tested with group II gets a score of 50 and Mary who is tested with group III gets a score of 92 If the average score for group I is 72 for group II is 78 and for group III is 69 and if the standard deviation for each group is 18 17 and 20 respectively which person has the highest relative standing in other words who has the largest z score answer

The heights of Russian men are normally distributed with a mean of 70 8 inches and a standard deviation of 3 2 inches According to the empirical rule what percentage of Russian men are a Between 674 and 73 8 inches tall Answer 0 b Over 64 2 inches tall Answer c Under 80 2 inches tall Answer

Calculate the 5 number summary and the interquartile range of the following data 11 65 36 34 46 77 19 53 31 39 17 27 43 60 47 35 Q1 Q2 Q3 Min Max IQR There is a potential outlier in this data set A True

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2 7 inches Men the same age have mean height 69 3 inches with standard deviation 2 8 inches a What is the z score for a woman 61 inches tall Z score What is the z score for a man 60 inches tall Z score

Kary took 4 courses last semester Physics Spanish Calculus and History The means and standard deviations for the final exams and Kary s scores are given in the table below Convert Kary s score into z scores Subject Mean Stand dev Kary s score Kary s z score Physics 60 14 Spanish 44 12 Calculus 70 12 84 5 68 76 History 53 16 41 On what exam did Kary have the highest relative score

A boxplot for a set of data is given below Find the five number summary Find the minimum Find Q1 Find the median 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 DATA Find Q3 Find the maximum

Soc 3 6 Med Med Bus 3 7 3 10 The following table presents homeownership rates in percentages by state for the years 1985 1996 and 2002 These values represent the proportion of homes owned by the occupant to the total number of occupied homes State Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Dist of Columbia Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri COST 1985 1996 2002 70 4 71 0 73 5 61 2 62 9 67 3 64 7 62 0 65 9 66 6 66 6 70 2 54 2 55 0 58 0 63 6 64 5 69 1 69 0 69 0 71 6 71 5 40 4 67 2 67 1 68 7 62 7 69 3 71 7 51 0 50 6 57 4 71 0 71 4 73 0 60 6 68 2 70 2 74 2 75 0 72 8 73 9 67 5 70 2 73 2 73 5 70 2 64 9 67 1 73 9 73 7 76 5 65 6 66 9 72 0 60 5 61 7 62 7 70 7 73 3 76 0 75 4 77 3 70 0 69 6 73 0 74 8 69 2 70 2 74 6 70 3 37 4 3 51 3 0 2 5 2 0 1 5 1 0 67 6 69 9 68 3 68 5 5 0 75 6 44 1 State The Boxplot 3 33 Construct a boxplot for the following measurements 33 31 19 25 23 27 11 9 29 3 17 9 2 5 8 2 9 1 3 76 For Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio CAN Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah TYPE Vermont Virginia Washington West Virginia Wisconsin Wyoming 3 34 The following data are the resting pulse rates for 30 randomly selected individuals who were participants at a 10K race 49 40 59 56 55 70 49 59 55 49 58 54 55 72 51 54 56 55 65 57 61 41 52 60 49 57 46 55 63 55 hin moton 3 35 Consumer Reports in its May 1998 issue provides cost per daily feeding for 28 brands of dry dog food and 23 brands of canned dog food Using the Minitab computer program the following side by side boxplot for these data was created DOG FOOD COSTS BY TYPE OF FOOD 1985 66 5 68 5 57 0 65 5 69 5 62 3 67 2 68 2 70 3 50 3 55 0 68 0 70 4 70 0 69 9 68 2 69 5 67 9 69 2 72 0 70 5 68 4 69 4 61 5 63 1 66 2 71 6 71 7 74 0 61 4 56 6 59 6 72 0 72 9 77 3 67 6 67 8 71 5 67 6 68 8 70 1 63 8 72 7 70 2 1996 2002 68 6 69 3 66 8 68 4 61 1 65 5 a Construct a stem and leaf plot of the pulse rates b Construct a boxplot of the pulse rates c Describe the shape of the distribution of the pulse rates d The boxplot provides information about the distribution of pulse rates for what population 65 0 64 6 67 1 52 7 60 5 61 8 71 5 72 7 70 3 68 5 DRY 69 5 68 5 74 3 66 8 63 1 67 0 75 9 74 3 77 0 63 8 68 2 72 0 73 2 68 0 72 8 a From these graphs determine the median lower quartile and upper quartile for the daily costs of both dry and canned dog food b Comment on the similarities and differences in the distributions of daily costs for the two types of dog food Summarizing Data from More Than One Variable Graphs and Correlation