Statistics Questions and Answers

K Owner Yuning Zhu is conside estimates monthly fixed costs

Many electronics follow a failure rate described by an exponential probability density function PDF Solar panels are advertised to last 20 years or longer but panels made in China are failing at a higher rate The time to failure of this device is usually exponentially distributed with mean 15 years What is the probability of failure in the first 9 years

3 On a test your teacher converts all grades to z scores If you received a z score of 2 5 how did you do on the test 2

2 On a test your teacher converts all grades to z scores If you received a z score of 0 how did you do on the test

Find an explicit solution for the given differential equation by using Bernoulli method dy y xy y 1 1 da

READ ALL INSTRUCTIONS FIRST When finished staple this sheet to your graphs document Before opening each bag label the packages 1 2 3 4 Open your packages Using the other sheet provided empty your packages into the respective quadrants Take a picture of the arrangement with your phone Complete a numerical summary of each package TELL MRS HARLOW YOUR TOTAL AMOUNT OF ORANGE M Ms Package 2 Color Red orange yellow Green Blue Brown Package 1 1 Totals 4 2 3 1 O 3 5 3 Package 3 1 5 I I 5 2 Package 4 3 2 4 4 Describe the histogram shape center spread outliers if any 2 1 Total of all 4 7 13 9 8 7 Percent 11 5 21 31 14 8 1 13 1 1 21 9 1 11 5 1 14 15 Once your data is totaled and or photographed then nibble on your data and complete the rest of this document 1 Once your data has been devoured use the document to create the 4 graphs with the corresponding data with proper labels a What type of data characteristic is shared between a pie graph and a bar graph Pie Charts bargraphs are both great ways to present qualitative ata They both show the distribution of a categorical variable 2 State the Measures of Central Tendency and explain when they are best used do NOT define 100 11 2 mode is best useful as a measure of central tendency b Mean is best used when your data distribution is continuous Syminatical c Median is lorstwaal in mesore skroewed centinail Lendeng s with outliars 3 Review your Normal curve explain the empirical rule

Find the indicated Probability Given P A 2 1 12 4 P B 7 P A and B P A or B 3 7

This question has two parts a and b Each part is worth 5 points In order to earn full credit there needs to be probability statements shaded normal curves and appropriate usage of formulas Men s heights are normally distributed with mean 68 6 inches and standard deviation o 2 8 inches A treehouse is built for a new television show The doorway of the treehouse is 62 5 inches a What percentage of men can fit through the door without bending Note if someone can fit through a door without bending it means they are shorter than the door b What doorway height would allow 85 of men to fit without bending Hint turn 85 into a probabilit

1 ACT Inc reported that 74 of 1644 randomly selected college freshmen returned to college the next year a 4 pts Construct and interpret a 90 confidence interval to estimate the retention rate for college freshmen b 4 pts Let s say they only need a 2 margin of error with the same level of confidence the following year How many college freshmen must be surveyed

2 5 pts A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is Of this sample 53 stated that they thought 2 children is the ideal number a Check the conditions needed to form a confidence interval Discuss each one in context

A poll showed that 66 2 of Americans say they believe that statistics teachers know the true meaning of life What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life Report the answer as a percent rounded to one decimal place accuracy You need not enter the symbol prob

ABC Airlines reports that 93 9 of its flights arrive on time What percent of its flights do not arrive time

The graph illustrates the distribution of test scores taken by College Algebra students The maximum possible score on the test was 130 while the mean score was 73 and the standard deviation was 13 34 60 73 Distribution of Test Scores What is the approximate percentage of students who scored between 47 and 99 on the test 47 86 99 112 What is the approximate percentage students who scored between 60 and 86 on the test 36 What is the approximate percentage of students who scored lower than 34 on the test 186 What is the approximate percentage of students who scored between 60 and 73

iz Question 20 bout 79 of all female heart transplant

3 The table below shows the number of athletes who stretch before exercising and how many had injuries within the past year Stretches Does not stretch Total Find a P Stretches Injury in last year 55 231 286 b P Stretches and had no injury last year c P Stretches or had no injury last year d P Stretches had no injury last year No injury in last year 295 219 514 Total 350 450 800

The graph illustrates a normal distribution for the prices paid for a particular model of HD television The mean price paid is 1800 and the standard deviation is 105 1485 1590 1695 1800 1905 2010 2115 Distribution of Prices What is the approximate percentage of buyers who paid between 1695 and 1905 What is the approximate percentage of buyers who paid less than 1485 What is the approximate percentage of buyers who paid between 1800 and 2115

robability Question 3 of A standardized exam s scores are normally distributed In a recent students selected at random are 1870 1240 2190 and 1390 Find The Z score for 1870 is I

ank Question 13 of 17 is a graph of points x y where each x value is from t ue expected from the standard normal distribution

Please find the range sample standard deviation and inter quartile range IQR of the following data set 28 32 36 48 48 53 54 65 78 87 range 59 standard deviation s 19 2 QR 29 range standard deviation Please enter an exact answer A new number 370 is added to the data set above Please find the new range sample standard deviation and IQR of the new data set Please show your answer to one decimal place Please enter an exact answer Please enter an exact answer Please show your answer to one decimal place QR Please enter an exact answer Which measure of spread is less affected by the addition of the extreme observation Range IQR O standard deviation

lity togram of a sample of men s a

ility Question 12 of 17 calculator or computer software to generate a normal quantile plot for the ally distributed population Click the icon to view the data set rate a normal quantile plot for the data Choose the correct graph below OB

Question e following is NOT true in regards to using a no correct answer below population distribution is not normal if the point

1 Calculate the mean T 8 4 2 Fill in the table below Fill in the differences of each data value from the mean then the squared differences x 8 4 4 9 15 10 r r 4 4 4 4 0 6 6 6 1 6 x x 3 Calculate the sample standard deviation s x x n 1 x x 19 36 19 36 0 36 43 56 2 56 85 2 Please round your answer to two decimal places

Qu es are normally distributed with a mean

robability Find the area of the indicated region under the sta 1 30 0 G OA 0 0968 B 0 0823

ment he survey results to find the probability t have a pet now and have had a pet do not have a pet now have had a pet do not have a pet now and have never e probability that the respondent has a pe

Calculate both the sample and the population standard deviations using the data below X 19 30 9 28 29 Please show the following answers to 1 decimal place Sample Standard Deviation s Population Standard Deviation o

For the sample shown answer the questions Round to 4 decimal places where possible X 2 5 7 1 1 3 30 4 5 7 26 5 3 3 29 2 Find the mean Find the median

The ages of Mikhail s five cousins are listed below 15 8 11 6 19 1 Calculate the mean H 2 Fill in the table below Fill in the differences of each data value from the mean then the square differences x 15 8 11 6 19 x x

Find the range for this list of numbers 45 35 58 75 7 68 70 73 74 Range 64 83 100 85 50 11 13

Find the range and standard deviation The table below gives the number of hours spent watching TV last week by a sample of 24 children 85 7 8 4 7 1 10 8 27 8 2 1 4 3 1 327 2 2 8 Range 1 7 Please enter an exact answer

In statistics what is the symbol that represents the Population Mea S Ox ON Oo

The list below shows the ages in years of 7 people riding in a van to a math competition Calculate the mean age of the people in the van Round your answer to the nearest tenth of a year ages Mean Median 9 10 11 15 11 10 37 years Please round your answer to the nearest tenth years Please enter an exact answer

In statistics what statistic is represented by the symbol X Population Standard Deviation Population Mean Sample Mean O Sample Size Population Size Sample Standard Deviation

X Answer 2 Points P X x 3 0 2 Keypad Keyboard Shortcuts First decide whether the distribution is a discrete probability distribution then select the reason for making this decision Decide 0 0 13 0 67 1 Reason O Yes No Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1 O Since at least one of the probability values is greater than 1 or less than 0 O Since the sum of the probabilities is not equal to 1 O Since the sum of the probabilities is equal to 1 O Since the probabilities lie inclusively between 0 and 1

3 Calculating GDP using national income account data The following table shows data on consumption investment exports imports and government expenditures for the United States in 2007 as published by the Bureau of Economic Analysis All figures are in billions of dollars Fill in the missing cells in the following table to calculate GDP Components Personal consumption expenditures C Gross private domestic investment 1 Government consumption expenditures and gross investment G Exports X Imports M Net exports of goods and services NX Gross domestic product GDP This method of calculating GDP which involves summing the approach 9 734 2 2 125 4 2 689 8 1 643 2 351 is called the

SILAMEPLIN PROXES Your answer is partially correct Kirk Minerals processes materials extracted from mines The m products Spock Uhura and Sulu Each of these products can be The company incurs joint costs of 179 800 to process one bato following cost and sales information is available for one batch of Spock Uhura Sulu Sales Value at Split Off Point 209 700 300 900 454 100 Allocated Joint Costs 39 700 60 700 79 400 Cost to Pro Furthe 110 40 85 10 249 70 Determine the incremental profit or loss that each of the three

Direct materials Direct labor Variable manufacturing overhead Fixed manufacturing overhead Variable selling expenses Totals Revenues Variable costs Direct materials Direct labor Per Undergarment Variable overhead 2 08 Tocal variable costs The U S Army has approached Klean Fiber and expressed an interest in purchasing 250 900 Y Go undergarments for soldiers in extremely warm climates The Army would pay the unit cost for direct materials direct labor and variable manufacturing overhead costs In addition the Army has agreed to pay an additional 0 95 per undergarment to cover all other costs and provide a profit Presently Klean Fiber is operating at 70 capacity and does not have any other potential buyers for Y Go If Klean Fiber accepts the Army s offer it will not incur any variable selling expenses related to this order 0 44 0 99 Prepare an incremental analysis for the Klean Fiber Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses eg 45 1 44 0 39 5 34 Reject Order 6 0 0 Total 2 275 520 481 360 1 083 060 1 575 360 426 660 5 841 960 50 E Accept Order 1134365 508515 120240 280500 79253 Net Income Increase Decrease 113465 508515 120240 230300 379255

A survey asks 192 people What beverage do you drink in the morning and offers choices Coffee only Tea only Both tea and coffee Neither tea nor coffee Suppose 48 report tea only 36 report coffee only and 44 report both How many people drink tea in the morning How many people drink coffee in the morning How many people drink neither tea nor coffee

Let S 1 2 3 8 9 10 be the universal set Let sets A and B be subsets of S where Set A 1 2 3 5 6 10 Set B 2 3 7 9 LIST the elements in the set A A LIST the elements in the set B B LIST the elements in the set AUB AUB LIST the elements in the set An B AnB

Suppose Set A contains and B have 6 elements Answer 95 elements and the total number elements in either Set A or Set B is 164 If the Sets A in common how many elements are contained in set B

A survey asked 198 people what alternative transportation modes they use The results are below 106 walk 94 use the bus 97 ride a bicycle 57 walk and use the bus 72 walk and ride a bicycle 49 ride the bus and ride a bicyle 38 said they use all three modes of pransportation How many people only ride the bus

there is a significant difference in the mean GMAT score of students from different undergraduate backgrounds who apply to the MBA program The accompanying GMAT Scor data comes from a sample of students What conclusion can be reached using ANOVA Click the icon to view the GMAT Scores data Determine the null hypothesis and the alternative hypothesis Ho H1 H H3 H at least one mean is different from the others Find the F test statistic F Type an integer or decimal rounded to two decimal places as needed W GMAT Scores Data GMAT Scores by Undergraduate Major Business Liberal Arts 579 Sciences 601 591 601 585 583 589 590 576 598 593 586 572 596 563 601 594 606 608 580 591 610 576 587 584 599 606 590 564 579 582 574 565 571 579 1 X

Jupiter weighs 1 898 000 000 000 tons If 1 0 ton is equal to 2000 lbs and 2 5 lbs equals 1 0 Couric How much does Jupiter weigh in Couric a First Determine how many significant figures are in each of the figures a 1 898 000 000 000 tons has 4 significant digits b 2000 Lbs has 4 significant digits c 2 5 has significant digits 2 b Convert each Value in Scientific notation if possible Significant digits times 10 raised to some power then add in units a 1 89 x 10 12 b 2 000 x 10 3 c 2 5 x10 0 c In one row calculate your conversion from tons to Couric with your final answer with the correct number of Significant values The smallest value from part a

Question 19 of 24 On January 2 2019 Twilight Hospital purchased a years and was estimated to have no disposal value scanner Annual operating costs with this scanner Approximately one year later the hospital is appro purchasing the scanner in 2019 from Bella Inc was 25 000 a year in operating expenses over its 3 ye capabilities as the scanner purchased last year Th no disposal value Jacob agrees to buy the old scan a Your answer is correct If Twilight Hornital coll its old ceapons on laus

A survey asks Which online services have you used in the last month Twitter Facebook Have used both The results show 23 of those surveyed have used Twitter 73 have used Facebook and 11 have used bot What percent of the people surveyed used neither Twitter nor Facebook

Module 3 And Binomial Dis K Decide whet x represents

Question 23 If two events are mutually exclusive wh Choose the correct answer below O A P A and B 0 because A and E OB P A and B 0 because A and E

le 3 inomial K G What does the notation F

mial Question 6 3 1 8 Determine whether the statement is true or false If it is You toss a fair coin nine times and it lands tails up flip is greater than 0 5