Statistics Questions

The area of region bounded by curves f x 5 x 3 and f x x in square units is equal to

If a x b y c then the maximum value of xy is

If a line DE is drawn parallel to one side of triangle BC then it will divide other two sides in the same ratio Hence AD DB AE EC BC GR

1 point Find a particular solution to the nonhomogeneous differential equation y 25y cos 5x Yp help formulas Find the most general solution to the associated homogeneous differential equation Use c and c in your answer to denote arbitrary constants Enter c as c1 and c as c2 Yh help formulas Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y 0 0 and y 0 0 y help formulas

I pxrxt FUTURE VALUE OF AN ANNUITY U Y 1 FR A P 1 i PRESENT VALUE OF AN ANNUITY PVR ROM THE AMORTIZATION TABLE 1 1 1 ORTGAGES ONLINE CALCULATOR 3 Maya decides to buy a townhouse The price of the townhouse is 500000 which requires a mortgage to be amortized over 25 years at an interest rate of 3 a Is this a Present Value or a Future Value problem Explain b Maya needs to pay 5 as a down payment What is the down payment Explain what Closing Costs are c What is the leftover amount that needs to be mortgaged d What is the amount of the monthly payment e What is the total amount paid on the mortgage loan 1 How much interest will Maya pay over the life of the loan g Explain one way that Maya can pay less interest over the life of the loan In your explanation state how much she will save in interest

A business statistics class conducted a student survey in which 299 students were randomly selected and asked a variety of questions One of the questions asked How many friends do you have on a popular social media site To find a confidence interval for the mean number a student drew 1000 bootstrap samples of the data and obtained the following histogram and summary statistics Complete parts a through c below A Click here to view the results from resampling a Use the data to construct a 98 confidence interval for the mean number of friends Round to three decimal places as needed

According to a report the standard deviation of monthly cell phone bills was 49 24 three years ago A researcher suspects that the standard deviation of monthly cell phone bills is less today a Determine the null and alternative hypotheses b Explain what it would mean to make a Type I error c Explain what it would mean to make a Type II error a State the hypotheses Ho o 49 24 H o 49 24 Type integers or decimals Do not round b Explain what it would mean to make a Type I error Choose the correct answer below O A The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from 49 24 when in fact the standard deviation of the bill is different from 49 24 OB The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from 49 24 when in fact the standard deviation of the bill is 49 24 OC The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than 49 24 when in fact the standard deviation of the bill is 49 24 O D The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than 49 24 when in fact the standard deviation of the bill is less than 49 24

Three years ago the mean price of an existing single family home was 243 713 A real estate broker believes that existing home prices in her neighborhood are lower a Determine the null and alternative hypotheses b Explain what it would mean to make a Type I error c Explain what it would mean to make a Type II error b Which of the following is a Type I error OA The broker fails to reject the hypothesis that the mean price is 243 713 when the true mean price is less than 243 713 OB The broker rejects the hypothesis that the mean price is 243 713 when the true mean price is less than 243 713 C The broker rejects the hypothesis that the mean price is 243 713 when it is the true mean cost OD The broker fails to reject the hypothesis that the mean price is 243 713 when it is the true mean cost c Which of the following is a Type Il error O A The broker fails to reject the hypothesis that the mean price is 243 713 when the true mean price is less than 243 713 OB The broker rejects the hypothesis that the mean price is 243 713 when the true mean price is less than 243 713 OC The broker rejects the hypothesis that the mean price is 243 713 when it is the true mean cost OD The broker fails to reject the hypothesis that the mean price is 243 713 when it is the true mean cost

The daily exchange rates for the five year period 2003 to 2008 between currency A and currency B are well modeled by a normal distribution with mean 1 812 in currency A to currency B and standard deviation 0 012 in currency A Given this model and using the 68 95 99 7 rule to approximate the probabilities rather than using technology to find the values more precisely complete parts a through d a What would the cutoff rate be that would separate the lowest 0 15 of currency A currency B rates The cutoff rate would be Type an integer or a decimal rounded to the nearest thousandth as needed b What would the cutoff rate be that would separate the lowest 50 The cutoff rate would be Type an integer or a decimal rounded to the nearest thousandth as needed c What would the cutoff rates be that would separate the middle 68 The lower cutoff rate would be Type an integer or a decimal rounded to the nearest thousandth as needed The upper cutoff rate would be Type an integer or a decimal rounded to the nearest thousandth as needed d What would the cutoff rate be that would separate the highest 16 The cutoff rate would be Type an integer or a decimal rounded to the nearest thousandth as needed

State the conclusion based on the results of the test According to the Federal Housing Finance Board the mean price of a single family home two years ago was 299 200 A real estate broker believes that because of the recent credit crunch the mean price has decreased since then The null hypothesis is not rejected Choose the correct answer below OA There is not sufficient evidence to conclude that the mean price of a single family home has increased from its level two years ago of 299 200 OB There is not sufficient evidence to conclude that the mean price of a single family home has decreased from its level two years ago of 299 200 OC There is sufficient evidence to conclude that the mean price of a single family home has increased from its level two years ago of 299 200 OD There is sufficient evidence to conclude that the mean price of a single family home has decreased from its level two years ago of 299 200

State the conclusion based on the results of the test The standard deviation in the pressure required to open a certain valve is known to be o 1 3 psi Due to changes in the manufacturing process the quality control manager feels that the pressure variability has increased The null hypothesis was rejected Choose the correct answer below OA The standard deviation in the pressure has not changed OB There is sufficient evidence that the standard deviation in the pressure required to open a certain valve has not changed OC There is not sufficient evidence that the standard deviation in the pressure required to open a certain valve has increased OD There is not sufficient evidence that the standard deviation in the pressure required to open a certain valve has not changed O E There is sufficient evidence that the standard deviation in the pressure required to open a certain valve has increased OF The standard deviation in the pressure has increased

a Give the five number summary for the distribution and b draw a box and whisker plot 12 21 28 14 28 30 44 19 42 29 35 37 49 44 55 a The five number summary for this data set is Use ascending order Simplify your answers b Choose the correct box and whisker plot OA 10 15 20 25 30 35 40 45 50 55 60 Q G Show Transcribed Text G C B 10 15 20 25 30 35 40 45 50 55 60 Q G

sults from car crash tests Included in results from car crash tests are loads pounds on the left femur and right femur and those values are shown in the tab below What characteristic of the data suggests that the appropriate method of analysis is two way analysis of variance That is what is two way about the data entered in the table Click on the icon to view the data table Choose the correct answer below OA The data is measured in pounds part of the imperial system which is inherently two way OB The load values are categorized using two different factors of femur left or right and size of car small midsize or large OC There are two possiblities for the femur either left or right OD In this case the appropriate method of analysis is not two way analysis of variance Car Crash Test Data Left Femur Right Femur Small 1183 290 327 708 605 245 336 1259 323 446 1043 1467 1041 455 Small Midsize 400 319 301 296 806 279 410 840 710 132 235 688 903 547 Midsize Large O 214 1630 741 878 936 883 470 752 1201 769 551 668 556 290 Large Left Femur Right Femur X

Analysis Chirps in 1 min Temperature F Question 5 of 12 What wrong with this predicted temperature Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in F Find the regression equation letting chirps in 1 minute be the independent x variable Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute using the regression equation What is wrong with this predicted temperature 1080 928 988 773 1157 1019 1213 1140 D 81 3 79 3 77 7 68 9 87 3 78 7 92 2 87 9 CI This test 12 point s possible This question 1 point s possible OA It is unrealistically high The value 3000 is far outside of the range of observed values OB It is only an approximation An unrounded value would be considered accurate OC The chirps in 1 minute should have been the dependent variable OD Nothing is wrong with this value It can be treated as an accurate prediction Resume later Submit test

Suppose the null hypothesis is rejected State the conclusion based on the results of the test Six years ago 11 3 of registered births were to teenage mothers A sociologist believes that the percentage has increased since then Which of the following is the correct conclusion OA There is sufficient evidence to conclude that the percentage of teenage mothers has remained the same OB There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same OC There is not sufficient evidence to conclude that the percentage of teenage mothers has increased OD There is sufficient evidence to conclude that the percentage of teenage mothers has increased

rent days five rows are shown in the accompanying table Use the 10 AM wait times for Space Mountain Rock n Roller Coaster Tower of Terror and Flight of PRS Wait times were reported by Disney and wait times at 10 AM and 5 Passage Use a 0 05 significance level to test the claim that the four rides have the same mean wait time at 10 AM Click the icon to view the data table of wait times Determine the null hypothesis Ho Disney World Wait Times SPACE MT SPACE MT 10AM 5PM 25 105 15 35 SMALL SMALL ROCK N WORLD 10AM 10 5 ROCK N WORLD ROLLER ROLLER 5PM 10AM 20 60 5PM 45 5 20 35 TOWER TOWER FLIGHT FLIGHT NAVI TERROR TERROR PASSAGE PASSAGE RIVER 10AM 35 5PM 15 10AM 165 5PM 10AM 90 75 15 15 120 105 60 NAVI D RIVER 5PM 55 TO X

hat is at the heart of hypothesis testing in statistics This is a reading assessment question Be certain of your answer because you only get one attempt on this question hoose the best answer below O A Determine whether a statement is true OB Make an assumption about reality and collect sample evidence to determine whether it contradicts the assumption C Determine whether a statement is false n Nong of the above

What happens to the probability of making a Type II error as the level of significance a decreases Why Choose the correct answer below OA The probability increases Type I and Type II errors are inversely related OB The probability increases The sum of x and always equals 1 OC The probability decreases Type I and Type II errors are proportional O D The probability decreases The more careful researcher is the lower the chances of making any error

Height cm of President 194 182 177 184 192 179 Height cm of Main Opponent 186 185 172 170 179 187 Points 0 of 1 A popular theory is that presidential candidates have an advantage if they are taller than their main opponents Listed are heights in centimeters of randomly selected presidents along with the heights of their main opponents Complete parts a and b below Save Ho Hd 0 cm H Hd 0 cm Type integers or decimals Do not round a Use the sample data with a 0 05 significance level to test the claim that for the population of heights for presidents and their main opponents the differences have a mean greater than 0 cm In this example Hd is the mean value of the differences d for the population of all pairs of data where each individual difference d is defined as the president s height minus their main opponent s height What are the null and alternative hypotheses for the hypothesis test

Click the icon to view the data and two way analysis of variance results rst test for an interaction between the two factors Determine the null and alternative hypotheses Choose the correct answer below OA Ho Distances between pupils are affected by an interaction between gender and handedness H Distances between pupils are not affected by an interaction between gender and handedness B Ho Distances between pupils are not affected by an interaction between gender and handedness H Distances between pupils are affected by an interaction between gender and handedness OC Ho Distances between pupils are not affected by handedness H Distances between pupils are affected by handedness O D Ho Distances between pupils are not affected by gender H Distances between pupils are affected by gender Data and Two Way ANOVA Results Source Interaction Female Male DF 1 SS 24 2 Right Handed 65 63 61 60 57 67 62 66 70 69 MS 24 2 Left Handed 71 63 62 70 63 69 69 63 68 66 Test Stat F 2 19501 D Critical F 4 49401 P Value 0 15788 X

If the consequences of making a Type I error are severe would you choose the level of significance x to equal 0 01 0 05 or 0 10 Choose the correct answer below OA 0 05 OB 0 01 OC 0 10

If a hypothesis is tested at the a 0 05 level of significance what is the probability of making a type I error Choose the correct answer below OA The probability of making a type I error is 0 95 OB The probability of making a type I error is 0 5 OC The probability of making a type I error is 0 05

K A sample tested the claim that heights of men and heights of women have difference variances with s 7 45562 cm for women and 7 12885 cm for men The sample sizes are n 145 and n 155 When using the F test with these data is it correct to reason that there is no need to check for normality because n 30 and n 30 Choose the correct answer below Save OA No There is no need to check for normality as long as n 210 and n 2 10 OB No There is no need to check for normality regardless of the sample size There is no normality requirement for the F test OC No The F test has a requirement that samples be from normally distributed populations regardless of how large the samples are OD Yes The F test has a requirement that samples be from normally distributed populations but this requirement can be ignored for large samples n and no greater than 30

Listed below are annual data for various years The data are weights metric tons of imported lemons and car crash fatality rates per 100 000 population Construct a scatterplot find the value of the linear correlation coefficient r and find the P value using a 0 05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates Do the results suggest that imported lemons cause car fatalities Lemon Imports Crash Fatality Rate Kouna to three decimal places as needed The P value is Round to three decimal places as needed Because the P value is 231 15 8 264 15 7 357 15 4 than the significance level 0 05 there 005 481 15 3 CCCEDE 532 14 8 sufficient evidence to support the claim that there is a linear correlation between lemon

to test the effects of alcohol Errors were recorded in a test of visual and motor skills for a treatment group of 28 people who drank ethanol and another gro of 28 people given a placebo The errors for the treatment group have a standard deviation of 2 30 and the errors for the placebo group have a standard deviation of 0 72 Assume that the two populations are normally distributed Use a 0 05 significance level to test the claim that both groups have the same amount of variation among the errors I Let sample 1 be the sample with the larger sample variance and let sample 2 be the sample with the smaller sample variance What are the null and alternative hypotheses OA Ho o 02 H 0 0 OB Ho 0 02 H 0 0 OC Ho o 02 H 0 0 2 OD Ho 0 02 H 0 0

Use the Hypothesis Test for Linear Correlation flow chart interactive to answer the following question A null hypothesis of Ho p 0 is equivalent to which one of the following Choose the correct answer below A There is a negative linear correlation B There is no linear correlation C There is a linear correlation D There is a positive linear correlation

a What is a residual b In what sense is the regression line the straight line that best fits the points in a scatterplot a What is a residual A A residual is a value of y y which is the difference between an observed value of y and a predicted value of y OB A residual is a value that is determined exactly without any error OC A residual is a point that has a strong effect on the regression equation OD A residual is the amount that one variable changes when the other variable changes by exactly one unit b In what sense is the regression line the straight line that best fits the points in a scatterplot The regression line has the property that the of the residuals is the possible sum

As accounts manager in your company you classify 75 of your customers as good credit and the rest as risky credit depending on their credit rating Customers in the risky category allow thei accounts to go overdue 50 of the time on average whereas those in the good category allow their accounts to become overdue only 10 of the time What percentage of overdue accounts are held by customers in the risky credit category OA 93 75 B 12 5 C 20 D 62 5

Multigenerational families can be categorized as having two adult generations such as parents living with adult children skip generation families such as grandparents living with grandchildren and three or more generations living in the household A survey was conducted on multigenerational households The reported results appear in the accompanying table Use the table to complete parts a through c below Click the icon to view the data table a What is the probability that a multigenerational family is Hispanic Round to three decimal places as needed b What is the probability that a multigenerational family selected at random is a Black two adult generation family Round to three decimal places as needed c What type of probability did you find in part a O personal probability marginal probability empirical probability joint probability What type of probability did you find in part b O personal probability empirical probability marginal probability O joint probability OOO Data table White Hispanic Black Asian Total 2 Adult Gens 506 143 118 61 828 2 Skip Gens 58 8 32 1 99 Print 3 or More Gens 222 141 100 Done 48 511 Total 786 292 250 110 1438 X

During a promotion Christina s department store offers a mailing scratch a winner discount savings After customers select the items they wish to purchase they scratch their discount sticker from the mailing to determine the discount they will receive The scratch wheel is divided into 12 slices Six slices are red and award a 10 discount three slices are white and award a 20 discount and two slices are blue and award a 40 discount The remaining slice is gold and awards a 100 discount if the customer scratches that slice The probability that a customer gets at least a 40 discount is 10 40 10 A 10 12 OC 3 12 OE 0625 20 10 100 10 20 OB 2 12 D 9 12

A grocery supplier believes that the mean number of broken eggs per dozen is 0 4 with a standard deviation of 0 2 You buy 5 dozen eggs without checking them a How many broken eggs do you expect to get b What s the standard deviation c Is it necessary to assume the cartons of eggs are independent Why a The expected number of broken eggs is Type an integer or a decimal b The standard deviation is eggs Round to two decimal places as needed c Is it necessary to assume the cartons of eggs are independent Why OA Yes it is necessary to assume the cartons are independent to calculate both the mean and the standard deviation O B Yes it is necessary to assume the cartons are independent to calculate the mean OC Yes it is necessary to assume the cartons are independent to calculate the standard deviation

Jeff a sales manager of a car dealership believes that his sales force sells a car to 35 of the customers who stop by the showroom He needs the dealership to make 40 sales this month to get special bonus of 120 000 Approximately 120 customers visit the showroom each month You may assume that the customers entering the dealership are independent of one another Complete parts a through f below a What is the probability that he will make his bonus The probability that he will make his bonus is 0 681 Round to three decimal places as needed b What is the probability that he will sell between 30 and 40 cars exclusively The probability that he will sell between 30 and 40 cars is Round to three decimal places as needed

For the following problem use the 68 95 99 7 Rule to approximate the probability rather than using technology to find the values more precisely Although controversial and the subject of some recent law suits some human resource departments administer standard IQ tests to all employees One IQ test s scores are well modeled b Normal model with mean 100 and standard deviation 20 If the applicant pool is well modeled by this distribution a randomly selected applicant would have what probability of scoring in the regions a 80 or below c Between 40 and 160 b Below 100 d Below 60 a The probability is Type an integer or a decimal Do not round

A publisher wants to estimate the mean length of time in minutes all adults spend reading newspapers To determine this estimate the publisher takes a random sample of 15 people and obtains the results below From past studies the publisher assumes o is 2 2 minutes and that the population of times is normally distributed 12 7 11 9 8 8 12 10 6 7 11 7 12 The 90 confidence interval The 99 confidence interval 11 10 Construct the 90 and 99 confidence intervals for the population mean Which interval is wider If convenient use technology to construct the confidence intervals The 90 confidence interval is Round to one decimal place as needed The 99 confidence interval is Round to one decimal place as needed Which interval is wider

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years Compare 3 and 12 month moving average forecasts using the MAD criterion Which of the two models yields better results Explain Click the icon to view the unemployment rate data Find the MAD for the 3 month moving average forecast MAD Type an integer or decimal rounded to three decimal places as needed 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 77 Year 2011 Jan 2011 Feb 2011 Mar 2011 Apr 2011 May 2011 Jun 2011 Jul 2011 Aug 2011 Sep 2011 Oct 2011 Nov 2011 Dec 2012 Jan 2012 Feb 2012 Mar 2012 Apr 2012 May 2012 Jun 2012 Jul 2012 Aug 2012 Sep 2017 Month Rate 7 8 8 3 8 6 9 1 9 3 9 4 9 6 9 7 9 9 10 2 9 7 9 8 9 9 9 8 9 8 9 7 9 5 9 4 9 6 9 3 9 5 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 8 9 9 2 9 2 8 8 8 8 8 9 9 1 8 4 8 6 8 5 8 2 8 2 8 1 8 3 8 3 8 4 8 2 7 9 7 7 7 7 7 6

The accompanying dataset shows the monthly number of new car sales in the last three years Develop a multiple 1 regression model with categorical variables that incorporate seasonality for forecasting sales 3 Click the icon to view the new car sales data 2 Jan Feb Mar Apr 4 5 6 May 7 Jun 8 Jul 9 Aug 10 Sep 11 Oct 12 Nov 13 Dec 14 Jan 15 Feb 16 Mar 17 Apr 18 May 19 Jun 00 Develop a multiple regression model with categorical variables that incorporate seasonality for forecasting sales where December is the reference month Units Year Jan Aug Sep Oct Round to the nearest integer as needed Feb Mar Apr May Nov May Jun A Month Jul B Year 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 C Units 39820 40091 47450 47307 49221 51489 46476 45218 44810 46999 42171 44196 42237 45432 54085 50936 53582 54930 D E Mar Apr May Jun Jul Aug Sep Oct Nov Dec

When generating a sample space a table is most effective when Select one O a there is one event because it shows the total number of events O b there is one event because it shows the likelihood for different outcomes there are three events because it shows the total number of events O c O d there are two events because it shows the likelihood for different outcomes

The graph of the annual snowfall distribution in feet for a particular county is shown below on the left with its mean and standard deviation Assume that a sample size of 64 is drawn from the population Determine which of the graphs labeled a c would most closely resemble the sampling distribution of the sample means Explain your reasoning Choose the correct graph below OA 0 P X 0 0 3 H 4 2 2 4 6 8 10 Snowfall in feet Q 67 OB P X A Rel frequency H 4 2 0 16 P x 5 2 1 4 7 10 13 Snowfall in feet 0 0 24 Q Snowfall in feet Q a 2 4 Loc C 4 2 x TTTT 10 27 P X H 0 525 A a 0 300 Snowfall in feet Q This graph most closely resembles the sampling distribution of the sample means because and the graph

Find the mean and standard error of the mean of the sampling distribution Then sketch a graph of the sampling distribution The prices of photo printers on a website are normally distributed with a mean of 244 and a standard deviation of 60 Random samples of size 28 are drawn from this population and the mean of each sample is determined The mean of the distribution of sample means is The standard deviation of the distribution of sample means is Type an integer or decimal rounded to three decimal places as needed Sketch a graph of the sampling distribution Choose the correct answer below OA Mean price 5 Q 5 OB 64 244 Mean price in 5 424 O C 241 S 244 Mean price in 5 247 Q O D 210 244 Mean price in 278 M

A simple random sample of size n is drawn The sample mean x is found to be 18 1 and the sample standard deviation s is found to be 4 2 Click the icon to view the table of areas under the t distribution OC The margin of error increases c Construct a 99 confidence interval about u if the sample size n is 35 Lower bound 16 16 Upper bound 20 04 Use ascending order Round to two decimal places as needed Compare the results to those obtained in part a How does increasing the level of confidence affect the size of the margin of error E OA The margin of error does not change OB The margin of error decreases C The margin of error increases d If the sample size is 13 what conditions must be satisfied to compute the confidence interval OA The sample must come from a population that is normally distributed and the sample size must be large B The sample data must come from a population that is normally distributed with no outliers C The sample size must be large and the sample should not have any outliers

Draw a normal curve with a mean of 66 and a standard deviation of 11 Describe how you constructed the curve and discuss its features Choose the correct graph of the normal curve below OA 55 66 77 88 99 Q OB 44 55 66 77 88 Q Describe how you constructed the curve and discuss its features The normal distribution curve is centered at and has 2 points of inflection representing u a Type integers or decimals OC 40 53 66 79 92 representing u d and a

Find the indicated z scores shown in the graph Click to view page 1 of the table Click to view page 2 of the table The z scores are Use a comma to separate answers as needed Round to two decimal places as needed 0 0222 2 7 0 2

Use the Standard Normal Table or technology to find the z score that corresponds to the following cumulative area 0 94 The cumulative area corresponds to the z score of Round to three decimal places as needed wool

Determine whether the following graph can represent a variable with a normal distribution Explain your reasoning If the graph appears to represent a normal distribution estimate the mean and standard deviation 0 5 10 15 20 25 30 Could the graph represent a variable with a normal distribution Explain your reasoning Select the correct choice below and if necessary fill in the answer boxes within your choice OA No because the graph is skewed right OB No because the graph is skewed left OC No because the graph crosses the x axis OD Yes the graph fulfills the properties of the normal distribution The mean is approximately deviation is about Type whole numbers U US G C and the standar

A sample of voters were polled to determine the likelyhood of measure 324 passing The poll determined that 45 of voters were in favor of the measure with a margin of error of 2 1 Find the confidence interval Use in your notation

The per capita energy consumption level in kilowatt hours in a certain country for a recent year can be approximated by a normal distribution as shown in the figure a What consumption level represents the 10th percentile b What consumption level represents the 21st percentile c What consumption level represents the third quartile www a The consumption level that represents the 10th percentile is Round to the nearest integer as needed b The consumption level that represents the 21st percentile is Round to the nearest integer as needed c The consumption level that represents the third quartile is Round to the nearest integer as needed kilowatt hours kilowatt hours kilowatt hours 2299 k UNE 5942 L 299 2299 Kilowatt hours 4299

For the following expression find the correct partial fraction decomposition y 16y 12 y y 2 3y 2 Enter your answer as the sum or difference of fractions with a constant in each numerator and with a linear expression in each denominator Provide your answer below Mi

Determine whether the graph shown could represent a variable with a normal distribution Explain your reasoning If the graph appears to represent a normal distribution estimate the mean and standard deviation xx 30 33 36 39 42 Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA The graph could not represent a variable with a normal distribution because the graph is skewed to the rig OB The graph could not represent a variable with a normal distribution because the curve has two modes OC The graph could represent a variable with a normal distribution because the curve is symmetric and its standard deviation is approximately and bell shaped Its mean is approximately Round to one decimal place as needed QD The graph could not represent a variable with a normal distribution because the graph is skewed to the left OE The graph could not represent a variable with a normal distribution because the curve crosses the x axis OF The graph could not represent a variable with a normal distribution because the curve is constant

A trade magazine routinely checks the drive through service times of fast food restaurants An 80 confidence interval that results from examining 683 customers in one fast food chain s drive through has a lower bound of 171 5 seconds and an upper bound of 175 1 seconds What does this mean Choose the correct answer below OA One can be OB There is a seconds and confident that the mean drive through service time of this fast food chain is seconds probability that the mean drive through service time of this fast food chain is between seconds OC One can be seconds and OD The mean drive through service time of this fast food chain is confident that the mean drive through service time of this fast food chain is between seconds seconds of the time

40 In a given town there are 10 of males taller than 6 ft a If you randomly choose 18 people from this population what is the chance that at least two of them are over 6 ft b How many people out of 12 people do you expect to be taller than 6ft c Now if you keep on selecting people one at a time until you find four people taller than 6ft thinking about you are choosing people to form a basketball team what is the chance that you need to select exactly 8 people