Statistics Questions

single 6 sided die is rolled twice The set of 36 equally likely outcomes is 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 Find the probability of getting two numbers whose sum is greater an 10 A 3 OB O C 1 12 5 18

Use the given data to complete parts a and b below 12 b Draw a scatter diagram of the data with the additional data point 10 4 9 3 Choose the correct answer below O A O B O C O D Ay Ay 8 4 X 2 2 4 4 1 5 3 3 6 4 7 4 9 04 yo 4 8 12 Q N AY 12 8 0 0 4 3 8 12 Q N Ay 12 8 0 C 4 x 8 12 Q O 12 8 0 4 8 12 Compute the linear correlation coefficient with the additional data point The linear correlation coefficient for the

raw a scatter diagram that might represent each relation hours spent studying a week and GPA movie ticket price and number of popcorn bags sold hoose the most accurate scatter diagram below for the first relation A GPA DA time studying in sales Q Q OB Q GPA hoose the most accurate scatter diagram below for the second relation OB in sales time studying Q O Q O C GPA O C in sales u time studying E

Complete parts a through h for the data below 1 2 2 1 0 4 1 2 3 4 X y 2 X Z f Compute the sum of the squared residuals for the line found in part b Round to three decimal places as needed g Compute the sum of the squared residuals for the least squares regression line found in part d

me data below represent commute times in minutes and scores on a well being survey Complete parts a through d elow commute Time minutes x Well Being Index Score y 5 15 30 35 50 72 105 69 1 68 1 66 8 66 6 65 7 65 0 62 4 terpret the y intercept Select the correct choice below and if necessary fill in the answer box to complete your choice A For every unit increase in index score the commute time falls by Round to three decimal places as needed OB For an index score of zero the commute time is predicted to be Round to three decimal places as needed OC For every unit increase in commute time the index score falls by Round to three decimal places as needed F on average minutes on average D For a commute time of zero minutes the index score is predicted to be Round to three decimal places as needed OE It is not appropriate to interpret the y intercept because a commute time of zero minutes does not make sense

A random sample of 1018 adults in a certain large country was asked Do you pretty much think televisions are a necessity or a luxury you could do without Of the 1018 adults surveyed 527 indicated that televisions are a luxury they could do without Complete parts a through e below Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 a Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without p 0 518 Round to three decimal places as needed b Verify that the requirements for constructing a confidence interval about p are satisfied is stated to be The sample sample size 10 and the Round to three decimal places as needed a simple random sample the value of np 1 p is 254 182 which is greater than or equal to can be assumed to be less than or equal to 5 of the population size c Construct and interpret a 95 confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without Select the correct choice below and fill in any answer boxes within your choice Type integers or decimals rounded to three decimal places as needed Use ascending order OA There is a between OB We are probability the proportion of adults in the country who believe that televisions are a luxury they could do without is and confident the proportion of adults in the country who believe that televisions are a luxury they could do without is m

A television sports commentator wants to estimate the proportion of citizens who follow professional football Complete parts a through c Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 a What sample size should be obtained if he wants to be within 4 percentage points with 96 confidence if he uses an estimate of 48 obtained from a poll The sample size is 656 Round up to the nearest integer b What sample size should be obtained if he wants to be within 4 percentage points with 96 confidence if he does not use any prior estimates The sample size is Round up to the nearest integer

A data set is given below a Draw a scatter diagram Comment on the type of relation that appears to exist between x and y b Given that x 3 6667 sx 2 4221 y 3 6167 sy 1 8862 and r 0 9529 determine the least squares regression line c Graph the least squares regression line on the scatter diagram drawn in part a O A X y 6 0 5 6 There appears to be b y x Round to three decimal places as needed c Choose the correct graph below 2 3 5 6 6 5 4 4 9 2 5 1 5 1 8 Q O B 0 0 D relationship CO Q 57 O C Ay 0 0 0 6 o

Complete parts a through h for the data below 1 1 2 4 1 3 4 X 2 y A 0 2 The line in part OB C D f Compute the sum of the squared residuals for the line found in part b Round to three decimal places as needed g Compute the sum of the squared residuals for the least squares regression line found in part d Round to three decimal places as needed h Comment on the fit of the line found in part b versus the least squares regression line found in part d the sum of the squared passes through the most points The line in part 5 X

Complete parts a through h for the data below 2 1 2 4 3 4 y 1 0 1 2 b Find the equation of the line containing the points 1 1 and 1 3 y x Type integers or simplified fractions c Graph the line found in part b on the scatter diagram Choose the correct graph below OA B d By hand determine the least squares regression line x Round to three decimal places as needed O C D

Complete parts a through h for the data below 1 0 1 2 D 2 4 1 2 3 4 y a By hand draw a scatter diagram treating x as the explanatory variable and y as the response variable Choose correct scatter diagram below O A v O B O C b Find the equation of the line containing the points 1 1 and 1 3 10 O D to

What does it mean to say that the linear correlation coefficient between two variables equals 1 What would the scatter diagram look like Choose the correct answer below CIIXE OA When the linear correlation coefficient is 1 there is a perfect positive linear relation between the two variables The scatter diagram would contain points that all lie on a line with a positive slope OB When the linear correlation coefficient is 1 there is a perfect horizontal linear relation between the two variables The scatter diagram would contain points that all lie on a horizontal line O C When the linear correlation coefficient is 1 there is a perfect negative linear relation between the two variables The scatter diagram would contain points that all lie on a line with a negative slope O D When the linear correlation coefficient is 1 there is no linear relation between the variables The scatter diagram would contain points that show no discernable relationship

mat does it mean if r 0 oose the correct answer below A No relationship exists between the variables B A relationship does exist between the variables C No linear relationship exists between the variables D A linear relationship does exist between the variables

nts cm and weights kg are measured for 100 randomly selected adult males and range from heights of 134 to 189 cm and weights of 41 to 150 kg Let the predictor variable x be the first variable given The 100 paired measurements yield x 167 60 cm y 81 52 km 182 P value 0 070 and y 107 1 04x Find the best predicted value of y weight given an adult male who is 159 cm tall Use a 0 01 significance level Click the icon to view the critical values of the Pearson correlation coefficient r e best predicted value of y for an adult male who is 159 cm tall is ound to two decimal places as needed kg Critical Values of the Pearson Correlation Coefficient r n 4 5 6 7 8 9 10 11 12 13 13 14 14 15 16 17 18 19 20 25 30 DE 35 TO 40 45 50 60 70 80 90 100 n Critical Values of the Pearson Correlation Coefficient r 0 05 0 950 0 878 0 811 0 754 0 707 0 666 0 632 0 602 0576 0 576 0552 0 553 0522 0 532 0514 0 514 0 497 0492 0 482 4CO 0 468 0 456 0 444 0 396 0 361 0 335 0 312 0 294 0 279 0 254 0 236 0 220 0 207 0 196 a 0 05 0 01 0 990 0 959 0 917 0 875 0 834 0 798 0 765 0 735 0 708 0 684 0 004 0 661 0 641 6633 0 623 AGAC 0 606 0 590 0 575 0 561 0 505 0 463 0400 0 430 0 402 0 378 0 361 0 330 0 305 0 286 0 269 0 256 a 0 01 NOTE To test Ho p 0 against H p 0 reject Ho if the absolute value of ris greater than the critical value in the table X

5 The data show the chest size and weight of several bears Find the regression equation letting chest size be the independent x variable Then find the best predicted weight of a bear with a chest size of 58 inches Is the result close to the actual weight of 642 pounds significance level of 0 05 Chest size inches Weight pounds Click the icon to view the critical values of the Pearson correlation coefficient r 46 57 53 41 40 40 C 384 580 542 358 306 320 What is the regression equation x Round to one decimal place as needed What is the best predicted weight of a bear with a chest size of 58 inches The best predicted weight for a bear with a chest size of 58 inches is pounds Round to one decimal place as needed Is the result close to the actual weight of 642 pounds OA This result is not very close to the actual weight of the bear OB This result is close to the actual weight of the bear OC This result is very close to the actual weight of the bear OD This result is exactly the same as the actual weight of the bear Critical Values of the Pearson Correlation Coefficient r n 4 5 6 7 7 o 8 9 10 11 72 12 12 13 7 14 15 15 16 17 18 18 19 20 25 30 35 40 45 50 60 70 80 90 100 n Critical Values of the Pearson Correlation Coefficient r a 0 05 a 0 01 0 950 0 878 0 811 0754 0 754 0 707 0 666 0632 0 632 0602 0 602 0 576 0 576 0 553 0 532 0 514 0 514 0 497 OHO 0 482 0 468 0 456 0 444 0 396 0 361 0 335 0 312 0 294 0 294 0 279 0 254 0 236 0 220 0 207 0 196 0 05 0 990 0 959 0 917 0 875 0 875 0 834 0 798 0 765 0 735 0 708 0 684 0 661 0 641 0 041 0 623 0 04 0 606 0 590 0 575 0 561 0 505 0 463 0 430 0 402 0 378 0 361 0 330 0 305 0 286 0 269 0 256 a 0 01 NOTE To test Ho p 0 against H p 0 reject Ho if the absolute value of ris greater than the critical value in the table X

According to an almanac 60 of adult smokers started smoking before turning 18 years old a If 400 adult smokers are randomly selected how many would we expect to have started smoking before turning 18 years old b Would it be unusual to observe 320 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers Why CIDE a We would expect about 240 adult smokers to have started smoking before turning 18 years old Type a whole number b Would it be unusual to observe 320 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers OA No because 320 is less than 2o OB Yes because 320 is greater than 20 OC No because 320 is between 20 and 2o O D No because 320 is greater than 20 OE Yes because 320 is between 20 and 20

When can the Empirical Rule be used to identify unusual results in a binomial experiment Why can the Empirical Rule be used to identify results in a binomial experiment Choose the correct answer below OA When the binomial distribution is approximately bell shaped about 95 of the outcomes will be in the interval from 2o to 20 The Empirical Rule can be used to identify results in binomial experiments when np 1 p 10 OB When the binomial distribution is approximately bell shaped about 95 of the outcomes will be in the interval from 2o to 2o The Empirical Rule can be used to identify results in binomial experiments when np 1 P 10 OC When the binomial distribution is approximately bell shaped about 95 of the outcomes will be in the interval from 20 to 20 The Empirical Rule can always be used to identify results in binomial experiments OD When the binomial distribution is approximately bell shaped about 95 of the outcomes will be in the interval from 2np to 2np The Empirical Rule can be used to identify results in binomial experiments when np 1 p 2 10

State the criteria for a binomial probability experiment Choose the correct answer below Select all that apply A Each trial has two possible mutually exclusive outcomes success and failure B The trials are independent C The probability of success p remains constant for each trial of the experiment D The experiment consists of a fixed number n of trials

A binomial experiment is performed a fixed number of times What is each repetition of the experiment called Choose the correct answer below OA Each repetition of the experiment is called a binomial random variable OB Each repetition of the experiment is called a success O c Each repetition of the experiment is called a trial OD Each repetition of the experiment is called a mean

What is the formula for the expected number of successes in a binomial experiment with n trials and probability o success p Choose the correct forumla below OA E X p OB E X 1 P 1 p OC E X np 1 P OD E X np

the probability distribution to the right the random variable X represents the number of hits a aseball player obtained in a game over the course of a season Complete parts a through f elow ype whole numbers Use ascending order Draw a graph of the probability distribution Describe the shape of the distribution aph the probability distribution Choose the correct graph below A 0 4 0 3 0 2 0 1 0 0 1 2 3 4 5 Number of Hits OO 2 O B Probability 0 4 0 3 0 2 0 1 scribe the shape of the distribution 0 1 2 3 4 5 Number of Hits Q O Q Probability C 0 4 0 3 0 2 0 1 0 1 2 3 4 5 Number of Hits Q Probability D 0 4 0 3 0 2 0 1 X 0 1 2 3 4 5 P x 0 1666 0 3346 0 2859 0 1482 0 0388 0 0259 0 1 2 3 4 5 Number of Hits M

etermine whether the random variable is discrete or continuous In each case state the possible values of the rando ariable The number of people with blood type A in a random sample of 29 people The time it takes to fly from City A to City B a Is the number of people with blood type A in a random sample of 29 people discrete or continuous A The random variable is discrete The possible values are 0 x 29 B The random variable is discrete The possible values are x 0 1 2 29 OC The random variable is continuous The possible values are 0 x 29 D The random variable is continuous The possible values are x 0 1 2 29 b Is the time it takes to fly from City A to City B discrete or continuous A The random variable is discrete The possible values are t 1 2 3 OB The random variable is continuous The possible values are t 1 2 3 OC The random variable is discrete The possible values are t 0 OD The random variable is continuous The possible values are t 0

Suppose a life insurance company sells a 220 000 one year term life insurance policy to a 23 year old female for 220 The probability that the female survives the year is 0 999536 Compute and interpret the expected value of this policy to the insurance company The expected value is 117 92 Round to two decimal places as needed Which of the following interpretation of the expected value is correct OA The insurance company expects to make an average profit of 117 92 on every 23 year old female it insures for 1 year OB The insurance company expects to make an average profit of 10 72 on every 23 year old female it insures for 1 month OC The insurance company expects to make an average profit of 219 90 on every 23 year old female it insures for 1 year OD The insurance company expects to make an average profit of 19 99 on every 23 year old female it insures for 1 month

n the probability distribution to the right the random variable X represents the number of marriages an individual aged 15 years or older has been involved in Complete parts a through f below a Verify that this is a discrete probability distribution This is a discrete probability distribution because he sum of the probabilities is 1 Type whole numbers Use ascending order b Draw a graph of the probability distribution Describe the shape of the distribution Graph the probability distribution Choose the correct graph below OA Probability 0 6 0 5 0 4 0 3 0 2 0 1 0 012345 Number of Marriages Q Q OB Probability 0 6 0 5 0 4 0 3 0 2 0 1 01 X 0 1 2 3 4 5 Number of Marriages Q 2 all of the probabilities are between 0 and 1 inclusive and O C Probability 0 6 0 5 0 4 0 3 0 24 0 1 0 0 1 2 3 4 5 Number of Marriages Q Probability D 0 6 0 5 P x 0 273 0 4 0 3 0 2 0 1 0 1 2 3 0 004 4 5 0 001 0 583 0 112 0 027 04 0 1 2 3 4 5 Number of Marriages Q 27

Determine whether the random variable is discrete or continuous In each case state the possible values of the random variable a The number of points scored during a basketball game b The distance a baseball travels in the air after being hit a Is the number of points scored during a basketball game discrete or continuous OA The random variable is discrete The possible values are x 20 OB The random variable is discrete The possible values are x 0 1 2 OC The random variable is continuous The possible values are x 0 OD The random variable is continuous The possible values are x 0 1 2

Here are the shopping times in minutes for a sample of 16 shoppers at a particular grocery store 26 23 44 41 38 35 40 40 40 37 37 34 34 31 31 31 Send data to calculator Draw the frequency polygon for these data using an initial class boundary of 22 5 an ending class boundary of 47 5 and 5 classes of equal width Note that you can add or remove classes from the figure Label each class with its midpoint Frequency 6 34 X

The monthly salaries in thousands of dollars of a sample of 5 sales representatives are as follows 8 13 9 7 8 Send data to calculator Find the standard deviation of this sample of monthly salaries Round your answer to two decimal places

man is planning for college and takes a standardized test While registering for the test he is allowed to select three chools to which his scores will be sent at no cost If there are 13 colleges he is considering how many different ways ould he fill out the score report form e could fill out the score report form in different ways

In a survey of 400 randomly selected people it was determined that 22 play soccer What is the probability that a randomly selected person plays soccer The probability that a randomly selected person plays soccer is Type an integer or a decimal

Let sample space S 1 2 3 4 5 6 7 8 Suppose the outcomes are equally likely Compute the probability of the event E an odd number P E Type an integer or decimal rounded to three decimal places as needed

If a new car has 2 transmission types 3 vehicle styles 2 option packages 8 exterior color choices and 3 interior color choices how many different new cars are possible There are possible different cars DE

Find the probability P E or F if E and F are mutually exclusive P E 0 41 and P F 0 47 The probability P E or F is Simplify your answer

Let sample space S 1 2 3 4 5 6 7 8 9 10 Suppose the outcomes are equally likely Compute the probabilit the event E 3 5 9 P E Type an integer or decimal rounded to three decimal places as needed

Suppose that two cards are randomly selected from a standard 52 card deck a What is the probability that the first card is a queen and the second card is a queen if the sampling is done without replacement b What is the probability that the first card is a queen and the second card is a queen if the sampling is done with replacement D a If the sampling is done without replacement the probability that the first card is a queen and the second card is a queen is 0 005 Round to three decimal places as needed b If the sampling is done with replacement the probability that the first card is a queen and the second card is a queen Round to three decimal places as needed is

A bag of 27 tulip bulbs contains 12 red tulip bulbs 9 yellow tulip bulbs and 6 purple tulip bulbs Suppose two tulip bulb are randomly selected without replacement from the bag a What is the probability that the two randomly selected tulip bulbs are both red b What is the probability that the first bulb selected is red and the second yellow c What is the probability that the first bulb selected is yellow and the second red d What is the probability that one bulb is red and the other yellow a The probability that both bulbs are red is 0 188 Round to three decimal places as needed b The probability that the first bulb is red and the second is yellow is 0 154 Round to three decimal places as needed c The probability that the first bulb is yellow and the second is red is 0 154 Round to three decimal places as needed d The probability that one bulb is red and one is yellow is Round to three decimal places as needed

For the month of October in a certain city 39 of the days are cloudy Also in the month of October in the same city 29 of the days are cloudy and rainy What is the probability that a randomly selected day in October will be rainy if it is cloudy The probability is approximately Round to three decimal places as needed

This past semester a professor had a small business calculus section The students in the class were Jim Mike Kristin Al Pam Neta Allison Dave Jinita and William Suppose the professor randomly selects two peopl to go to the board to work problems What is the probability that Pam is the first person chosen to go to the board and Kristin is the second P Pam is chosen first and Kristin is second Type an integer or a simplified fraction

Suppose that a single card is selected from a standard 52 card deck What is the probability that the card drawn is a club Now suppose that a single card is drawn from a standard 52 card deck but it is told that the card is black What is the probability that the card drawn is a club The probability that the card drawn from a standard 52 card deck is a club is Round to three decimal places as needed

5 What is the slope of the least squares regression line for the data 0 2 2 4 3 5 4 7 5 7 Do not round your final answer Answer

Question 4 of 5 4 Suppose you find the least squares regression line y 2 5 1 1x for the data 1 3 2 6 3 5 4 7 5 8 What is the sum of the squared residuals Answer

2 What is the second coordinate of the point at the intersection of the line y 2x 2 and the y axis Answer

Question 1 of 5 1 What is the slope of the line passing through the points 2 3 and 4 7 Answer

Question 4 of 6 4 Use the sample data set 1 3 2 6 3 5 4 7 5 8 to calculate x x y y Answer Continue Reset answer

Question 6 of 6 6 Suppose the sample linear correlation coefficient is calculated to be 0 68 from 14 ordered pairs of data What is the value of the test statistic when testing if the population correlation coefficient is different from 0 Round your answer to the nearest thousandths Answer Previous Answer none

3 Use the scatter plot below to select the value that is most likely closest to the linear correlation coefficient 12 10 80 y 6 4 2 0 0 2 0075 4 9 8 Note It is not necessary to calculate the linear correlation coefficient you simply need to give an accurate educated guess 00 50 00 60

Question 2 of 6 2 Using the scatter plot below what is the value of the response variable y when the predictor variable is 4 12 10 8 Y 6 4 PT RE 2 0 to Answer 2 4x 6 8

Consider the following sample data set 2 5 3 7 3 7 5 11 7 15 8 17 8 17 What is the value of x x y y Round your answer to the nearest thousandths Fill in the correct answer Check Answer

plupang ReaLIVE 2 Given the scatter diagram below what is the value of the response variable when the predictor variable is 3 Assume that x and y only obtain integer values 10 8 6 2 Lesson 10 2 8 Fill in the correct answer 10

Which of the following represents the correct order of a statistical analysis A Determine rejection of the null hypothesis Gather data Formulate a hypothesis D Formulate a hypothesis Gather data Determine rejection of the null hypothesis Formulate a hypothesis Determine rejection of the null hypothesis Gather data Gather data Formulate a hypothesis Determine rejection of the null hypothesis

P A 0 42 P B 0 58 a Can you compute P A and B if you only know P A and P B Yes O No b Assuming that events A and B arise from independent random processes answer the following 1 What is P A and B ii What is P A or B Enter a number iii What is P A B 0 42 c If we are given that P A and B 0 19 are the random variables giving rise to events A and B independent Yes O No d If we are given that P A and B 0 19 what is P AIB Round your answer to four decimal places