Statistics Questions and Answers

A consumer interest group is interested in brand advertises that its tablets contain 2 with the following results

if the global economy adhered to a fixed exchange rate then OI O 1 11 OI III O I II III if inflation was very high in the United States and other countries were not experiencing inflation our dollars could buy more foreign goods if inflation was very high in the United States and other countries were not experiencing inflation American goods would be cheap for foreign buyers the United States would import more goods than it would export

Calculate the sample standard deviation data

Calculate the range population variance and p

narrowest interval in this set is 15 5 Sample size and margin of error Normally distributed with unknown n u and known standard deviation o 10 a What would be the margin of er population mean based on a ran a z confidence interval with a 95 z 1 960 h What would be the margin of er

Question 3 Points 2 Which of the answer choices below best describes the following diagram O Households Businesses One of John Maynard Keynes s economic theories A policy implemented by President Herbert Hoover O One of Adam Smith s economic theories An unimportant part of monetary policy

The following frequency distribution shows the responses of 55 women who report on which day they gave birth to their first born babies at a certain hospital DAY MONDAY THURSDAY TUESDAY 6 WEDNESDAY 12 FRIDAY SATURDAY FREQUENCY SUNDAY 4 15 10 4 a Find the relative frequency for day of the week with the highest frequency b Find the relative frequency for the day of the week with the lowest frequency c What is the shape of this dataset

Calculate the range population variance and popu number of decimal places given in the data

Ss unese issues in detail PLY YOUR KNOWLE 4 Confidence level and margin of obtained a 95 confidence inte

E book N TER 14 CHECK YOU e Framingham Heart Study re 0504

15 5 Sample size and margin o distributed with unknown mea a What would be the marg good

14 18 The Framingham Heart Study recorded the systolic blood pressure SBP of 3 534 adults and reported a 95 confidence interval for the population mean SBP of 126 7 to 127 9 mm Hg The correct interpretation for this confidence interval is that we are 95 confident that a the adults in this sample have SBP values between 126 7 and 127 9 mm Hg b adults in the population have SBP values between 126 7 and 127 9 mm Hg c the population mean SBP is a value between

14 31 Deer mice continued E mean body length of deer mi

to have a standard deviation repeated weighings are Norm

41 Use the procedure in Exercise 38 to express Ei x7x as a polynomial in the elementary symmetric functions We now know that a symmetric polynomial f x xn can be written uniquely as a poly nomial in the elementary symmetric functions Using this existence and uniqueness we can describe an alternate and computationally useful method for determining the coefficients of the elementary symmetric functions in this polynomial As in Exercise 37 we may assume that f x x is homogeneous of degree M Let N be the maximum degree of any of the variables x x in f x Xn a Determine all of the possible monomials from the constraints Ass appearing in f x Xn a1 2a2 a a2 nan M an N b Since f x Xn A 2 s is a polynomial identity it is valid for any substitution of values for x Xn Each substitution into this equation gives a linear relation on the coefficients A and so a sufficient number of substitutions will

Answer each of the following questions completely This assignment is worth 15 points 1 8 pts A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9 000 hours and a standard deviation of 1 000 hours a What is the probability that a randomly chosen light bulb lasts more than 9 400 hours Define draw and label the distribution and give your answer in a complete sentence I b Let s say the distribution of the bulb lifespans is instead heavily skewed to the right We want to select 40 bulbs and calculate their average lifespan Write about each of the conditions needed to use the sampling distribution of a mean c What is the probability that the mean lifespan of 40 randomly chosen light bulbs is more than 9400 hours Define draw and label the distribution and give your answer in a complete

14 Continuing with information from 8 For Yvonne s survey 96 students in the sample said they rarely or never argue with friends A significance test yields a P value of 0 0291 What conclusions would you make if a 0 05 If a 0 01 Justify your answers

2 7 pts The Pew Research Center estimates that as United States use social networking sites a For a sample size of 100 write about each o distribution of a proportion b Calculate the probability that at least 91 o networking sites Define draw and label the sentence

C What is the probability 9 400 hours Define C sentence

3 Select the correct answer The research is deciding between a sample size of n 500 and a sample of size n 1000 Compared to using a sample size of n 500 a 95 confidence interval based on a sample size of n 1000 will be a Narrower and would involve a larger risk of being incorrect b Wider and would involve a smaller risk of being incorrect c Narrower and would involve a smaller risk of being incorrect d Wider and would involve a larger risk of being incorrect Me Wider and would have the same risk of being incorrect

13 Continuing with information from 7 In Simon s SRS 16 of the students were left handed A significance test yields a P value of 0 2184 What conclusions would you make if a 0 10 If a 0 05 Justify your answers

12 Continuing with information from 6 For the study of Jordanian children the sample mean hemoglobin level was 11 3 g dl and the sample standard deviation was 1 6 g dl A significance test yields a P value of 0 0016 a Explain what it would mean for the null hypothesis to be true in this setting b Interpret the P value in context

6 Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to the body tissues People with less than 12 grams of hemoglobin per deciliter of blood g dl are anemic A public health official in Jordan suspects that Jordanian children are at risk of anemia He measures a random sample of 50 children

Select the correct answer You have measured the systolic blood pressure of an SRS of 25 company employees A 95 confidence interval for the mean systolic blood pressure for the employees of the company is 122 138 Which of the following statements is as nodod true a 95 of the sample of employees have systolic blood pressure between 122 and 138 b 95 of the population of employees have systolic blood pressure between 122 758760 and 138 c If the procedure were repeated many times 95 of the resulting confidence intervals would contain the population mean systolic blood pressure d If the procedure were repeated many times 95 of the time the population mean systolic blood pressure would be between 122 and 138 e If the procedure were repeated many times 95 of the time the sample mean systolic blood pressure would be between 122 and 138

Answer each of the following questions complet 1 8 pts A manufacturer of compact fluor lifespans of these light bulbs is nearly no 1 000 hours a What is the probability that a rar draw and label the distribution a

A graduate student sets out to study the mode of inheritance of the colour of the fur coat and tail length of mice Black mice with short tails both dominant phenotypes were screened to select dihybrids to conduct a dihybrid cross F1 Black mice with short tails X F1 Black mice with short tails The results are listed here df 1 2 3 4 5 17 mice white with long tails 49 mice Black with long tails 135 mice Black with short tails 38 mice white with short tails 0 5 0 455 1 386 2 366 3 357 4 351 Probability level alpha 0 02 5 412 7 824 9 837 11 668 13 388 0 10 2 706 4 605 6 251 7 779 9 236 0 05 3 841 5 991 7 815 9 488 11 070 0 01 6 635 9 210 11 345 13 277 15 086 0 001 10 827 13 815 16 268 18 465 20 517 a Are the results of the screen consistent with mendelian ratios expected from of dihybrid F1 X F1 cross and in which there are no gene interactions Perform a chi analysis and provide your conclusion Show your work 3 marks b In your own words is the design of the experiment appropriate to make such a conclusion If yes describe how the experiment is appropriate to make such a conclusion If no describe how the experiment could be conducted to provide conclusive evidence for the genetic basis of the widow s peak phenotype 2 marks

n list on 7 on 8 K The accompanying table shows the num bachelor s degrees in business in a rece Click the icon to view the data on b a Find the probability that a randomly s The probability that a randomly selected Round to three decimal places as need

ability And Quest According to government dato

obability And y K Question 11 of 22 The table lists the smoking habits of a group of Sex Non smoker Regular Smoker H Man Woman 135 197 44 21

ability And K Question 15 of 22 The following table contains data from a study of t Numbe Number of flights which were on time which 33 Podunk Airlines

ability And K Question 1 Determine the written description of th When 13 televisions are tested a Choose the correct answer below

Question 1 JFK JFKC Minimum Lower Quartile Median Question 2 Upper Quartile Maximum Based on the values in the question description report the 5 number summary for each group pts Report based on your values in the table above the range for each group 1 pt 2

bability And y 12 Ques Identify the sample space of the

possible from a piece of paper Everyone received the same letters in the same order but half of the students were random chosen to get a list with the letters in convenient 3 letter groupings such as JFK CIA FBI FDR whereas the other half of the students were randomly chosen to get a list with the letters in less convenient groupings such as JFKC IAF BIFDR The number of letters that each person memorized correctly appear below JFK organized 1 4 5 6 9 16 18 18 22 24 30 JFKC unorganized list 1 2 5 6 8 13 13 16 16 20 21 Question 1 JFK JFKC Minimum Lower Quartile Median 5 pts Upper Quartile Maximum Based on the values in the question description report the 5 number summary for each group 5 pts

16 points Use the values in the table below to find the following Round all answe A B C D E2327 20 13 12 17 a P F D b P EUA c P ANF d P FUG e P BIC f P DUA g P H C F 27 13 24 22 G 30 6 19 21 HMZEE 31 12 16 18 271 Time Ren 1 22 23 34 20

Suppose X X15 are the random sample from the normal population with a mean of 15 and standard deviation of 10 Find the approximate probability that the sample mean is between 13 and 15 O 0 2794 O 0 7794 O 0 7930 0 5783 03770

Let X be a normal random variable with mean of 5 and standard deviation of 10 Find the number a such that P X a 0 05 O24 6 O 21 45 O 18 225 O 11 45 1 645

Decide which of the following statemen

Q8 A teacher conducted a study where she measured the number of math riddles that students could solve in 20 minutes while listening to music Let X number of math riddles that a randomly selected student could solve while listening to music X 0 1 2 3 P X 0 05 0 34 0 41 0 20 hat is the standard deviation in the expected number of math riddles that three students could solve e listening to music 78 3425 B 5 28 4 6085 C 3 232 5 280 D 3 177 20pi 80 1 E 2010 1

Prepare a product by value analysis for the following products and given the position in its life cycle identify the issues likely to confront the operations manager and his or her possible actions Product Alpha has annual sales of 500 units and a contribution of 2 500 per unit it is in the introductory stage Product Bravo has annual sales of 2 000 units and a contribution of 3 500 per unit it is in the growth stage Product Charlie has annual sales of 4 500 units and a contribution of 2 250 per unit it is in the decline stage Product Bravo Alpha Charlie Individual dollar contribution S S S Product by value analysis Total annual dollar contribution S S

Lonnie threw 50 free thro number she will make su

A restaurant recorded how many tacos were included in each order This data is summarized in the histogram below Note The last class actually represents 7 or more tacos not just 7 tacos Frequency NN 12 10 8 a A N 1 2 3 4 5 number of tacos What is the frequency of times an order included at least 2 tacos 166 88 7

The FDA regulates that fish that are consumed should contain no more than 1 0 mg kg of mercury In Florida bass fish were collected in 22 different lakes to measure the amount of mercury in the fish in mg kg Multi disciplinary niser activity 2013 The data for the average amount of mercury in the fish from each lake is in table below Average Mercury Level in Fish mg kg 0 10 0 34 0 56 0 40 0 16 0 48 0 34 0 98 0 48 0 19 0 44 0 59 0 17 0 19 0 5 0 04 0 65 0 94 For the data shown above find the following Do not round any of your answers The program here will take either answer a Find the 5 number summary 0 15 0 86 0 73 0 84 What units would go on each of your answers above

ual to or more extreme that the sample of partners AB F12 Next delete

20 30 40 76 70 61 50 data 60 70 Based on the box plot above determine which quarter each number is in Number Choose a Quarter 26 Select an answer 84 Select an answer Select an answer Select an answer Select an answer 80 90

The lengths in kilometers of a random sample of 22 rivers on the South Island of New Zealand that flow to the Tasman Sea are listed in table below Lengths of Rivers in km 72 64 72 For the data shown above find the following Do not round any of your answers The program here will take either answer a Find the 5 number summary 64 32 76 177 64 68 40 51 121 80 56 108 56 37 56 35 48 32 80 What units would go on each of your answers above

76 87 Boxplot Blood Sugar 103 120 mg dl What is the maximum blood sugar reading James measured 75 80 85 90 95 100 105 110 115 120 125 130 135 Blood Sugar in mg dl A normal blood sugar range for someone without diabetes 2 hours after eating is less than 140 mg dl lames is concerned about his health and measures and records his blood sugar 4 times a day for a week The results are in the boxplot above What is the minimum blood sugar reading James measured mg dl wenty five percent of James blood sugar readings fall below what value mg dl Seventy five percent of James blood sugar readings fall below what value 133 mg dl What percent of James blood sugar readings are between 87 and 120

Here is a set of sample data 3 10 12 24 31 35 39 41 59 62 76 77 78 81 83 86 88 32 60 80 95 96 99 Identify the 5 number summary min Q1 median Q3 ma

Here is a set of sample data 64 20 21 51 70 85 69 52 60 46 54 94 62 26 75 87 92 22 72 86 3 30 Base on the data above identify the 5 number summary

00 9 10 11 12 13 14 15 data AL D WORY 02 16 Based on the boxplot above identify the 5 number summary min Q1 median Q3 max Ou 17 18