Statistics Questions

Are the following statements true or false Justify your answers Complete parts a through c below This is a reading assessment question Be certain of your answer because you only get one attempt on this question describing the variability in the data Finding measures of the middle and trends are the only research objectives in statistical studies OD False Statistical studies are not concerned with describing the variability in the data only with understanding the sources of variability in the data Understanding the sources allows researchers to determine what statistical methods to use in their studies c Suppose three different individuals conduct the same statistical study such as estimating the average commute time of students at a college It is possible that all three studies end up with different results Choose the correct answer below OA False Only two results are possible for any statistical study Therefore if all three individuals conduct the same statistical study at least two of the three individuals must obtain matching results OB True If at least two of the individuals made different errors in their studies then it is possible that all three studies end up with different results This is the only way for all three studies to end up with different results OC True Statistical studies typically look at samples rather than entire populations Since each study is likely to draw different samples it is quite possible that each study ends up with different results due to variability in the data D False Statistics is a form of mathematics which means that as long as correct procedures are used all studies should obtain the same results even if different studies used different procedures

The data table below contains the amounts that a sample of nine customers spent for lunch in dollars at a fast food restaurant Complete parts a through d Click here to view page 1 of the table of critical values of t Click here to view page 2 of the table of critical values of t 4 14 5 09 5 93 6 41 7 27 7 67 8 59 8 44 10 02 D a At the 0 01 level of significance is there evidence that the mean amount spent for lunch is different from 6 50 State the null and alternative hypotheses Hoi H H Type integers or decimals Do not include the symbol in your answer

The quality control manager at a compact fluorescent light bulb CFL factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7 467 hours The population standard deviation is 900 hours A random sample of 81 light bulbs indicates a sample mean life of 7 217 hours a At the 0 05 level of significance is there evidence that the mean life is different from 7 467 hours b Compute the p value and interpret its meaning c Construct a 95 confidence interval estimate of the population mean life of the light bulbs d Compare the results of a and c What conclusions do you reach a Let u be the population mean Determine the null hypothesis Ho and the alternative hypothesis H Ho H

Let A denote the event of placing a 1 straight bet on a certain lottery and winning Suppose that for this particular lottery there are 5 120 different ways that you can select the four digits with repetition allowed in this lottery and only one of those four digit numbers will be the winner What is the value of P A What is the value of P A What is the value of P A P A Round to five decimal places as needed CIEB

If you use a 0 05 level of significance in a two tail hypothesis test what decision will you make if ZSTAT 1 53 Click here to view page 1 of the cumulative standardized normal distribution table Click here to view page 2 of the cumulative standardized normal distribution table Determine the decision rule Select the correct choice below and fill in the answer box es within your choice Round to two decimal places as needed O A Reject Ho if ZSTAT OB Reject Ho if ZSTAT C Reject Ho D Reject Ho if ZSTAT ZSTAT or ZSTAT

Explain what is meant when it is said that data vary How does the variability affect the results of statistical analysis Choose the correct answer below O A Saying data vary means that the values of the variable change from individual to individual In addition certain variables can change over time for certain individuals Because data vary two different statistical analysis of the same variable can lead to different results OB Saying data vary means that the values of the variable change every time they are observed Because data vary each statistical analysis of a given variable will lead to different results C Saying data vary means that examining different types of subjects will yield different data such as examining a person and examining a car Because data vary it is impossible to compare different types of subjects such as comparing people and cars OD Saying data vary means that observations can be measured with fractions or decimals instead of only integers Because data vary it is important to make sure to accurately account for fractional observations

The methods of statistics follow a process Place the processes in the correct order Drag each process into the appropriate area Describe the Data Identify the Research Objective Perform Inference Collect the Data Needed to Answer the 1

Variable Quantitative Variable Data Continuous Variable Discrete Variable Qualitative Variable Drag each word or phrase given above to the appropriate definition below Provide numerical measures of individuals The measures can be added or subtracted and provide meaningful results Allow for classification of individuals based on some attribute or characteristic The characteristics of the individuals within the population Information that describes characteristics Has either a finite number of possible values or possible values The values of these variables counting Has an infinite number of possible values that ar values of these variables typically result fro

en a population and a sample Choose the correct answer below OA A population is the entire group that is being studied while a sample is a subset of the population that is being studied OB A population is a person or object that is a member of the sample being studied while a sample is the entire group that is being studied OC A population is a subset of the sample that is being studied while a sample is the entire group that is being studied OD A population is the entire group that is being studied while a sample is a person or object that is a member of the population being studied

Fill in the blank are the characteristics of the individuals of the population being studied Choose the correct answer below are the characteristics of the individuals of the population being studied

Choose the correct answer below OA Statistics is the science of collecting organizing summarizing and analyzing information to draw a conclusion and answer questions In addition statistics is about providing a measure of confidence in any conclusions O B Statistics encompasses all scientific disciplines in which random occurrences are analyzed In addition statistics references any random occurrence which is reported using percentages or proportions OC Statistics encompasses all scientific disciplines in which percentages are used data are analyzed and probabilities are found In addition statistics references any mathematical model which is reported using percentages or proportions OD Statistics is the science of manipulating reorganizing and editing information to produce the desired results In addition statistics is about providing the required answer with the desired level of confidence

C Interval level of measurement Ordinal level of measurement Ratio level of measurement Nominal level of measu Drag each phrase given above into the appropriate definition below The values of the variable name label or categorize In addition the naming scheme does not allow for the values of the variable to be arranged in a ranked or specific order The values of the variable name label or categorize In addition the naming scheme allows for the values of the variable to be arranged in a ranked or specific order Allows for the values of the variable to be arranged in a ranked or specific order Differences in the values of the variable have meaning but a value of zero does not mean the absence of the quantity Arithmetic operations such as addition and subtraction can be performed on the values of the variable

Question 5 of 10 This quiz 10 point s possible This question 1 point s possible A certain standardized test s math scores have a bell shaped distribution with a mean of 520 and a standard deviation of 119 Com through c a What percentage of standardized test scores is between 163 and 877 99 7 Round to one decimal place as needed b What percentage of standardized test scores is less than 163 or greater than 877 99 7 Round to one decimal place as needed c What percentage of standardized test scores is greater than 758 Round to one decimal place as needed

7 If x is a binomial random variable compute P x for each of the following cases a n 5 x 1 p 2 b n 4 x 2 q 4 c n 3 x 0 p 7 d n 5 x 3 p 1 e n 4 x 2 q 6 f n 3 x 1 p 9 g P x 5 for n 15 p 6 h P x 1 for n 5 p 1 i P x 10 for n 25 p 7 j P 7 x 10 for n 15 p 9 8 Find u and o for problem 7 above letters h i and j Answer for h 0 for i u 0

Some questions make use of the Point Plotting Tool which allows you to place a point at a specific location on a graph Click the icon to view instructions for the Point Plotting Tool Plot the point 4 6 located at the X on the graph to the right 10 8 B 4 2 0 0 AY d B 410 4 6 8 10

Some questions supply a data set like the one below which must be used in order to answer the question 4 89 D 5 27 7 58 You can copy the data set into another program such as a spreadsheet or a statistical software program to perform calculations with the numbers in the given data set Click the icon to view instructions for copying a data set into another program Add the numbers in the data set either by hand or by using the Click to copy table icon to copy the data into a program which can perform the calculation for you The result of adding the numbers in the given data set is

Some questions allow you to choose several correct answers from a list of possible answers Select the checkbox for each correct choice to fill it in Be sure to mark all correct answers Which of the following mathematical statements are true Select all that apply A 2 2 1 B 1 2 2 C 1 1 1 D 1 2 2 E 1 1 2 Did you notice Questions like the one above prompt you to select all that apply and also use a checkbox for each choice You can choose multiple answers from the list for each attempt

The table shows the number of new small business incorporations for various years Use regression to find a quadratic function that can be used to predict the number of new incorporations x ye after 1980 Year Incorporations 1980 1982 1984 1986 1988 1990 1991 524 564 644 704 699 649 619 ou Use regression to find a quadratic function that can be used to predict the number of new incorporations x years after 1980 f x of di dth

A news service conducted a survey of 1012 adults ages 18 years or older in a certain country August 31 September 2 2015 The respondents were asked Of every tax dollar that goes to the federal government how many cents of each dollar would you say are wasted The four possible responses are that the federal government wastes less than 10 cents between 11 cents and 25 cents between 26 cents and 50 cents or 51 cents or more Of the 1012 individuals surveyed 38 indicated that 51 cents or more is wasted The news service reported that 38 of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar spent with a margin of error of 5 and a 95 level of confidence Complete parts a through e below c What is the sample OA Adults in the country aged 18 years or older B Adults in the world aged 18 years or older OC The country s federal government D The 1012 adults in the country that were surveyed d List the descriptive statistics Choose the correct answer below OA There is a 95 chance surveying 1012 individuals from this country will result in a response that matches how the entire country would respond OB 38 of the individuals surveyed indicated that 51 cents or more is wasted OC The federal government wastes 51 cents or more of every dollar they receive O D 38 of all adults 18 years or older in this country believe that 51 cents or more is wasted

A quality control manager randomly selects 40 bottles of vinegar that were filled on January 21 to assess the calibration of the filling machine What is the population in the study OA All bottles of vinegar produced in the plant in the given year OB The 40 bottles of vinegar selected in the plant C All bottles of vinegar produced in the plant on January 21 D The 40 bottles of vinegar selected in the plant on January 21 What is the sample in the study OA The 40 bottles of vinegar selected in the plant in January OB All bottles of vinegar produced in the plant in the given year OC The 40 bottles of vinegar selected in the plant on January 21 D All bottles of vinegar produced in the plant on January 21

1 point The rat population in a major metropolitan city is given by the formula n t 67e 1991 and n is measured in millions a What was the rat population in 1991 b What is the rat population going to be in the year 2007 where t is measured in years

4 Consider the probability distribution shown here 4 3 2 1 0 1 2 3 4 X 4 3 p x 0 2 0 7 10 15 30 18 10 06 02 a Calculate u o and o b Graph P x and locate 20 20 on the graph c What is the probability that x is in the interval u 20

2 Which of the following is not a probability distribution for the discrete random variable X please circle your answer a it is it is not b it is c it is it is not d it is b d P x X P x P x P X 0 2 25 MOD 4 3 2 15 3 IS 20 3 3 O NEO it is not it is not

Chance magazine Spring 2002 research statisticians discussed the problem of sampling mailrooms for the presence of anthrax spores Let x equal the number of mailrooms contaminated with anthrax spores in a random sample of n mailrooms selected from a population of N mailrooms The researchers showed that the probability distribution for x is given by the formula 11 StatCrunch x A State where k is the number of contaminated mailrooms in the population we have identified this G Google plus pearson com prc Yahoo Chile Bookmarks probability distribution as the hypergeometric distribution Suppose N 100 n 3 and k 20 a Find p 0 b Find p 1 c Find p 2

1 The number of customers X waiting in line to order sandwiches at a Subway shop at noon is of interest to the store manager a What values can X assume b Is x a discrete or continuous random variable

A study conducted by researchers was designed to determine if application of duct tape is as effective as cryotherapy in the treatment of common warts The researchers randomly divided 66 patients into two groups The 33 patients in group 1 had their warts treated by applying duct tape The 33 patients in group 2 had their warts treated by cryotherapy Once the treatments were complete it was determined that 61 of the patients in group 1 and 30 of the patients in group 2 had complete resolution of their warts The researchers concluded that duct tape is significantly more effective in treating warts than cryotherapy Complete parts a through d below What is the sample OA The total number of patients with complete resolution of their warts OB All people who have warts OC The 33 patients in group 1 D The 66 patients with warts OE The 33 patients in group 2 c What are the descriptive statistics OA 61 of patients in group 1 and 30 of patients in group 2 had resolution of their warts OB There are 66 patients with warts OC There are 33 patients in group 1 and 33 patients in group 2 D 61 of all patients treated with duct tape and 30 of all patients treated with cryotherapy will have resolution of

3 The random variable X has the following discrete probability distribution X 1 3 5 7 9 P x 1 2 4 2 1 a List the values x may assume b What value of x is most probable c Display the probability distribution as a graph d Find P x 7 e Find P x 2 f Find P x 2

5 According to Energy Trend January 2019 38 of the solar energy cells manufactured world wide are sold to China Consider a random sample of five solar energy cells and let x represent the number in the sample that are sold to China Below we show that the probability distribution for x is given by the formula E UNUL ERRAN VAHAKANK T SED OPE a Why X is a discrete random variable b Find p x for x 0 1 2 3 4 and 5 c Show that this is a well defined probability distribution

What is the population in the study OA Undergraduates who attend a college and have taken a course in conversational English B Undergraduates who attend a college and live outside the United States and have taken a course in conversational English OC Undergraduates who attend a college D Undergraduates who attend a college and live outside the United States What is the sample in the study OA Undergraduates who attend a college OB Undergraduates who attend a college and live outside the United States OC The 1446 undergraduates who attend a college and have taken a course in conversational English O D The 1446 undergraduates who attend a college and live outside the United States

A polling organization contacts 1446 undergraduates who attend a college and live outside the United States and asks whether or not they had taken a course in conversational English during their studies What is the population in the study OA Undergraduates who attend a college and have taken a course in conversational English OB Undergraduates who attend a college and live outside the United States and have taken a course in conversational English OC Undergraduates who attend a college D Undergraduates who attend a college and live outside the United States

One practical application of slope of a line is O A to see what a value was at one point in time OB to describe change over time OC to describe the difference between two values

When solving a problem it s important to use the right tool for the job How would you solve this problem A local theater group is putting on a performance It costs 500 per night to rent the theater space and 0 75 per program Everyone who buys a ticket gets a program The group is planning to set the price for tickets for adults at 5 00 and tickets for students at 2 50 If the group sold only the higher price adult tickets how many people would need to attend per night for the group to make a profit Let x people attending the performance Cost 500 0 75x Revenue 5 00x OA make a graph and plug in values OB set cost equal to revenue and use algebra to solve for x C make a graph and see where the lines representing cost and revenue cross

Angela drove to Florida for Spring Break It took her two days The first leg of her trip was 315 8 miles The second leg of her trip was 152 3 miles Around how many miles did she drive in all OA 4681 miles OB 500 miles OC 468 miles

What method of solving a quadratic equation is shown here x 7x 12 0 X X X b b 4ac 2a 7 49 4 1 12 2 1 X 7 1 2 8 2 2 x 3 x 4 6 X 11 O A quadratic formula OB factoring OC Pythagorean Theorem

Which equation correctly show how to find the percent of tiles that are white in a kitchen that has a total of 200 times 75 of which are white OA 75 75 100 200 OB X 75 100 200 OC 75 X 100 200

A person s credit card balance is 3660 If the person pays off 25 of the balance what is the new balance The new balance is dollars

Find the y intercept and graph the equation y 3x by hand Use a graphing calculator to verify your answer Use the graphing tool to graph the line Use the y intercept and another point when drawing the line Click to enlarge graph E 10 B 6 10 8 ob co 2 2 A

A person bounces several checks and is charged service fees such that the balance of the checking account is 8 dollars If the person then deposits 250 dollars what is the balance The balance is dollars

Find 65 of 7 65 of 7 is Type an integer or a decimal

The number of new products containing an artificial sweetener are shown in the table to the right for various years Let n be the number of new products containing the sweetener in the year that is t years since 1990 Complete parts a through c below a Create a scattergram of the data Choose the correct graph below OA OB C An 600 300 0 0 Q U An 600 300 0 8 Q N An 600 300 0 4 Year 1992 1993 1994 1995 1996 8 Q Q Number of New Produc 501 223 O D 600 300 An 07 0 A 4 106 51 19 3 Q 2

Use a calculator to perform the indicated operation 245 125 2893 26

Use a calculator to compute the following 17 65 97 82 17 97 65 82 Round to two decimal places as needed

Let n be the number in millions of skateboarders in a country at t years since 2000 What does the ordered pair 9 14 mean in this situation Choose the sentence below that best describes what the given ordered pair represents OA In the year 2014 the number of skateboarders in the country was 9 million OB In the year 1991 the number of skateboarders in the country was 14 million OC In the year 2009 the number of skateboarders in the country was 14 million

The body mass index I can be used to determine an individual s risk for heart disease An index less than 25 indicates a low risk The body mass index is given by the formula 700W or model I where W weight in pounds and H height in inches Jerome is 70 inches tall What weights will keep his body mass index between 18 and 26 H BULER Jerome s body mass index will fall between 18 and 26 for the set of all weights such that Round to the nearest whole number as needed W

As part of its interview process an employment agency tests the client s typing speed The stem and leaf display below shows the results for the most recent clients 18 of whom received a job offer and 17 of whom did not Answer the questions that follow Typing speeds words per minute Offer No offer 64 335 9654420 41788 211000 50345688 700 61566 Key 34 41 3 1333 a What were the ranges of typing speeds for the two groups Offer No offer 0 b Which group had the higher median typing speed OOffer ONo offer OThe medians were the same c Which group had more typing speeds in the 50s Each had the same No offer offer

A job placement agency advertised that last year its clients on average had a starting salary of 40 000 Assuming average refers to the mean which of the following claims must be true based on this information Note More than one statement could be true If none of the statements is true mark the appropriate box Last year some of their clients had a starting salary of 40 000 or above Last year some of their clients had a starting salary of exactly 40 000 This year at least one of their clients will have a starting salary of at least 40 000 Last year at least one of their clients had a starting salary of more than 36 000 Last year the number of their clients who had a starting salary of 40 000 or below was equal to the number of their clients who had a starting salary of 40 000 or above None of the above statements are true X

Graph the line 3 y x 2 4x 2 K 10 21 8 FOLL abou

A weight loss clinic advertised that last month its patients on average lost 7 lb Assuming that average refers to the mea which of the following claims must be true based on this information Note More than one statement could be true If none of the statements is true mark the appropriate box Last month some of their patients lost exactly 7 lb Last month the number of their clients who lost more than 0 7 lb was equal to the number of their clients who lost less than 7 lb Last month at least one of their patients lost more than 12 lb Two months ago at least one of their patients lost at least 7 lb Last month all of their patients lost at least 7 lb None of the above statements are true X S

Suppose that two attributes w and u both measures of net funness have been recorded in two different samples For each we wish to perform inference to their respective target populations Assume the populations are very large that our samples were realized by a method of random selection and that for both the normal model is appropriate Everything else equal if the sample size of w is larger than that of u then Our calculated Cl for w will be narrower than that for u Our calculated Cl for w will be wider than that for u Onone of these selections are correct Our calculated CI for w will be the same as that for u Everything else equal if the variance of w is 9 times larger than that of u then Our calculated Cl for w will be 5 times wider than that for u Onone of these selections are correct Our calculated Cl for w will be 2 times wider than that for u Our calculated Cl for w will be 3 times narrower than that for u Our calculated Cl for w will be 10 times narrower than that for u Our calculated Cl for w will be 3 times wider than that for u

Suppose that two attributes x and w both measures of net income have been recorded in two different samples For each we wish to perform inference to their respective target populations Assume the populations are very large that our samples were realized by a method of random selection and that for both the normal model is appropriate Everything else equal if the variance of x is larger than that of w then Our calculated Cl for x will be the same as that for w Our calculated Cl for x will be wider than that for w Our calculated Cl for x will be narrower than that for w Onone of these selections are correct Everything else equal if the sample size of x is 9 times larger than that of w then Our calculated Cl for x will be 10 times wider than that for w Onone of these selections are correct Our calculated Cl for x will be 2 times narrower than that for w Our calculated Cl for x will be 5 times wider than that for w Our calculated Cl for x will be 3 times wider than that for w Our calculated Cl for x will be 3 times narrower than that for w