Statistics Questions and Answers

3 omial K Question 1 Determine whether the statement is When an event is almost certain to h

A group of researchers tested different theories of happiness by having children play with toy blocks In one condition children were instructed to use toy blocks to come up with as many different types of objects as they could The data below represent child happiness measures take after they played with the toy blocks The happiness measure ranges from 0 to 50 with the highes the value the higher the level of happiness Hsee Hastie Chen 2008 1 2 5 7 7 12 14 20 25 25 31 33 33 38 39 40 35 40 38 40 41 42 42 43 44 44 47 45 47 45 49 49 50 45 45 a Create a grouped frequency table with an interval size of 5 for these data Include your frequency distribution intervals frequency midpoint and relative percent

The TOO Sorority has a tough pledging program it requires its pledges to master the Greek alphabet forward backward and sideways During the last pledge period two thirds of the pledges failed to learn it backward and three quarters of them failed to learn it sideways 15 of the 36 pledges failed to master it either backward or sideways Because admission into the sisterhood requires both backward and sideways mastery what fraction of the pledges were disqualified on this basis 0

1 166 pointa 8 Exercise 5 3A Algo Allocating pro purchases LO 5 1 Cortez Company sells chairs that are used a the year Cortez made two batch purchases purchase at 108 per unit During the period Required

David bought a puppy and has been tracking its weight at weight somewhere between 45 and 50 pounds End of Mo

Given the points graphed in the fol necessary

Your answer is partially correct Moonbeam Company manufactures toasters For the first 8 months of 2020 the company reported the following operating results while operating at 75 of plant capacity Sales 364 000 units Cost of goods sold Gross profit Operating expenses Net income Revenues Cost of goods sold 4 374 000 2 605 200 Cost of goods sold was 70 variable and 30 fixed operating expenses were 80 variable and 20 fixed In September Moonbeam receives a special order for 18 900 toasters at 7 64 each from Luna Company of Ciudad Juarez Acceptance of the order would result in an additional 2 900 of shipping costs but no increase in fixed costs Operating expenses 1 768 800 Prepare an incremental analysis for the special order Round computations for per unit cast to 2 decimal places e g 15 25 and all other computations and final answers to the nearest whole dollar eg 5 725 Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses e g 45 Net income 841 750 927 050 S Reject Order D 817796 Accept Order 144396 1823640 673400 2641436 Net Income Increase Decrease

al Exam Embedded The population mean and standard deviation are For a sample of n 81 find the probability of a sa Click the icon to view page 1 of the standard EEE Click the icon to view page 2 of the standard a sample of n 61 the probability of a sample

4 52 700 a 0 05 umple stats X 51 749 Norm Nu t T

Module 2 Graphical ical Data Analysis K Question 41 2 1 Part 1 of 2 The table shows prices of 50 college textbo an appropriate graph of the distribution of th 85 119 83 31 13 60 14 73 41 12 61 57 33 24 45 58 25 76 77 90 118

e 2 Graphical ta Analysis K Question 36 2 5 48 A student has gathered data on self perceived b right and 3 represents overweight A graph of display these data and why Click to view the graph of the body image da

le 2 Graphical ata Analysis K Questio Many firms use on the job trainin personnel department of a firm th requested to review the performa and standard deviation of the tor

Graphical Analysis K Question 39 2 1 2 1 A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the c The data is summarized in the histogram to the right There were fifteen people who participated in the clas between the ages of 25 and 45 Use the histogram to answer the question How many participants had a heart rate between 120

Riggs Company purchases sails and produces sailboats It currently produces 1 230 sailboats per year operating at normal capacity which is about 80 of full capacity Riggs purchases sails at 258 cach but the company is considering using the excess capacity to manufacture the sails instead The manufacturing cost per sail would be 98 for direct materials 81 for direct labor and 90 for overhead The 90 overhead is based on 78 720 of annual fixed overhead that is allocated using normal capacity The president of Riggs has come to you for advice It would cost me 269 to make the sails she says but only 258 to buy them Should I continue buying them or have I missed something a Prepare a per unit analysis of the differential costs Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses eg 45 Direct material Direct labor Variable overhead Purchase price Total unit cost S Riggs should 50 Should Riggs make or buy the sails Make Sails eTextbook and Media the sails 59 S 16 Buy Sails Net Income Increase Decrease

Use the marginal tax rates in the table below to compute the tax owed in the following situation Bobbi is single and had a taxable income of 35 800 Tax Rate 10 3 15 25 39 6 Standard deduction Exemption per person Single up to 9325 up to 37 950 up to 91 900 up to 191 650 up to 416 700 up to 418 400 above 418 400 6350 4050 The tax owed is Simplify your answer Round to the nearest dollar as needed Alb aluation Guide or an Meet ecurity N ty 7 FE SANT AKUSTIH

Consider the relationship between the number through an auction

Use technology to complete parts a a Find the monthly payment for a loan of 6000 with an APR of 13 and a loan term of 15 years The monthly payment is Round to the nearest cent as needed b Describe the change in the monthly payment for the loan in part a if the loan term is doubled from the payment for the loan in part a to The payment Round to the nearest cent as needed c Describe the change in the monthly payment for the loan in part a if the APR is halved The payment Round to the nearest cent as needed from the payment for the loan in part a to

The table below gives the list price and the r consider the equation of the regression line mind the correlation coefficient may or may use the regression line to make a prediction

dule 2 Graphical Data Analysis K Question 24 The weights in pounds of 30 prescho 25 25 26 26 5 27 27 27 29 29 30 30 30 5 31 33 33 34 34 5 35 35

2 Graphical Analysis K The National Education Association collects data teachers A sample taken this year of 19 high sch teaching experience Identify potential outliers if a 16 25 1 33 15 7 18 9 20 14 Question 22 2 5 2 17 10 16 10 21

aphical lysis Question 8 Approximate the mean of the grouped Round to the nearest whole number Weight in pounds Frequency 135 139 11

Calculate the sample variance and sample standard deviation for the follo to one more decimal place than the largest number of decimal places give

Graphical Analysis K Question 23 The cholesterol levels in milligrams per 154 156 165 165 170 171 171 189 189 190 192 195 198 198 205 205 211 215 220 220 225

phical sis 1 Question 20 2 4 For the following data set approximate the standard deviation to the nearest hundreth grouped data formulas Height in inches Frequency 50 52 53 55 56 58 5 8 12

dule 2 Graphical Data Analysis K Ques Use the histogram below to a rate of adults in the gym Heart Rates of Adu

Graphical nalysis K Question 19 The salaries of a random sample of a employees are summarized in the fre below Approximate the sample mean

Graphical nalysis K Question 21 2 5 The test scores of 15 students are listed bel 36 47 57 65 67 68 70 72 75 77 79 82 87 90 99

Module 2 Graphical cal Data Analysis 16 Qu Determine whether the app distribution in the biete

The number of bags of chips sold in a month is tracked and follows a normal distribution After 2 years the mean is found to be 2 4 million with a standard deviation of 0 3 million What is the chance percentage that between 1 8 and 2 1 million bags are sold on a random month 3 points 1 for shown work 1 for correct drawing 1 for correct answer

Consider the following data regarding student college GPAS and hi entscoll Estimated Col

The t statistic from comparing the first two columns of ice off data is 0 958 The IPCC would then conclude It is likely that by the year 1894 ice off date was earlier on Lake Mendota in Wisconsin Hypothesize how likelihood will change over time based on looking at the graph of ice off data Run the same analyses to test for differences in ice off date between section 1 and subsequent sections 1 vs 3 1 vs 4 etc Enter your results in this table T Stat Which comparison vs 2 1855 1874 vs 1875 1894 vs 3 1855 1874 vs 1895 1914 vs 4 1855 1874 vs 1915 1934 vs 5 1855 1874 vs 1935 1954 vs 6 1855 1874 vs 1955 1974 vs 7 1855 1874 vs 1975 1994 vs 8 1855 1874 vs 1995 2014 0 958 2 024 2 879 2 626 1 431 3 697 3 827 IPCC extremely likely virtually certain virtually certain very likely virtually certain virtually certain 1 Did the level of certainty change over time

Researchers took 10 randomly selected hockey fans and measured how much money they spent on food at a single hockey game The sampled results show that the sample mean and standard deviation were 12 00 and 3 45 respectively Use this information to create a 90 confidence interval of the mean We assume the population distribution is normal Express the answer in the form point estimate percentile se O 12 1 509 O 12 1 959 O 12 1 977 O 12 1 795 O 12 1 999

A doctor at a local hospital is interested in estimating the birth weight of infants How large at least a sample must she select if she desires to be 95 confident that her estimate is within 2 ounces of the true mean Assume that a sample standard deviation is 7 ounces based on earlier studies 06 O 34 O 47 48 05 Smy

20 30 40 50 60 70 80 90 100 Age 5 A dentist s office recorded the ages of the people that received fillings in a specific week 1 point each a How many were between the ages of 50 and 60 b Were there more people in their thirties or sixties c Does the graph have a positive or negative skew

2 The box and whisker plot below represents the scores for an exam in an 8 am section Class A and 10 am section Class B of Biology 101 Show your work 1 point each 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 Class B Class A a What was the range of scores for the middle 50 of Class A b c d What is the range for Class B How many people scored between an 80 and 87 for Class B if there are 40 students in the class

Select the scenario which is an example of volunta

ent Step 1 We want to graph the function y 3 To do this we will form X y 2 3 1 3 0 30 3 3 1 2 Connecting the ordered airs that come from the table of value

Let Z be a standard normal random variable Find the values of a such that P Z 1 35 or Z 2 34 P Z a Type the exact value no rounding

In 2022 NBA teams score 114 points per game on average with a standard deviation of 6 points per game Suppose that we randomly sample 36 NBA scores from this season and consider the sample mean X the average points per game scored in this sample Calculate P X 2 114 X 2 O 0 475 O 0 99 O 0 90 O 0 95 O 0 68

A disk has a free space of 330 megabytes Is it likely to be sufficient for 300 songs sampled at random from all songs if each song has an expected size of 1 megabyte with a standard deviation of 0 5 megabytes Hint calculate its probability O No the available disk space is very likely to be insufficient O Yes the available disk space is very likely to be sufficient

A random variable X has a normal distribution with a mean of 1 It is known that the 40th percentile for x is 0 Find the standard deviation sigma of X O 0 1 O 0 5 0 25 02 4

Let X X2 X10 be a random sample from a Normal Population with a mean of 3 and a standard deviation of 2 Find the variance of the sample mean X 0 63 0 16 2 0 2 0 4

Let Z be a standard normal random variable Find P Z 0 90 Use the Z table to get the probability Report the answer in four decimal places 0 xxxx

E book PPLY YOUR KNOWL 5 Spider webs Exercise 17 2 ga

Use the following informa cholesterol levels in millig 85 and s 12 X

sumple APPLY YOUR 17 1 Neuronal acti

STEP 17 7 Butt monarch butt migrations OV milligrams m reared in capt statistical soft

factors areas with different exposures als confidence interval definitely applies to a those sampled but there is no guarantee adolescent males in the United States or APPLY YOUR KNOWLED 17 5 Spider webs Exercise 17 2 gave th error 30 cm for the web area of 15 fen

Generally the more someone exercises the less they will weigh while also maintaining a proper diet John has started exercising and eating healthy and has recorded his weight each week Using a regression model how much would you expect John to weigh at the end of week 8 if he continues with his new routine Round your answer to the nearest tenth Week 0 1 2 3 5 6 7 8 Weight lbs 212 210 208 205 203 200 196 194

i 23 53 of Us adults don t use newspaper You randomly select 10 US adults Find the probability for the following p 5 p x 6 p x 4