Statistics Questions

You may need to use the appropriate appendix table or technology to answer this question A random sample of 85 airline pilots recruited by an airline service had an average yearly income of 99 100 with a standard deviation of 11 000 a If we want to determine a 95 confidence interval for the average yearly income of the population what is the value of t Round your answer to three decimal places t b Develop a 95 confidence interval for the average yearly income of all pilots in dollars Round your answers to the nearest dollar to

You may need to use the appropriate appendix table or technology to answer this question Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week A sample of 67 weekly reports showed a sample mean of 18 5 customer contacts per week The sample standard deviation was 4 2 Provide a 90 confidence interval for the population mean number of weekly customer contacts for the sales personnel Provide 95 confidence interval for the population mean number of weekly customer contacts for the sales personnel Step 1 Since a sample standard deviation is given the t distribution will be used to construct the specified confidence intervals Recall the structure of a confidence interval given below where x is the sample mean ta 2 is the value of t that corresponds to an upper tail area of with n 1 degrees of freedom s is the sample standard deviation and n is the sample size 2 S 1 2 xta 2 The value of alpha is found by setting the confidence level equal to 1 a and solving for a To solve for a first convert 90 to a probability also representative of an area so that the t table may be used probability percentage 100 100

Question 6 of 7 6 Consider a small collection of five letters A B C D E Think of this collection as a small population How many samples of size two are possible if sampling is done with replacement Answer 15 samples Continue Reset answer

3 Which below is a sample of the small population 1 2 4 5 7 8 9 O 3 4 8 2 4 8 O 2 6 8 O 5 6 7 Continue Reset answer

Question 8 of 8 8 Correctly classify the quantitative variable number of seeds in a watermelon Discrete Continuous Continue Reset answer

Question 1 of 8 1 Determine whether the variable area is quantitative or qualitative O Qualitative Quantitative C

1 150 doctors where asked how many hours they work What is the population O 150 doctors O Everyone that works at a hospital O 150 people that work at a hospital All doctors Continue Reset answer

Using the the drop down menus below please place the steps of a hypothesis test in the correct order The steps of a hypothesis test are 1 Select 2 Select 3 Select 4 Select 5 Select

The acceptable level for insect filth in a certain food item is 2 insect fragments larvae eggs body parts and so on per 10 grams A simple random sample of 40 ten gram portions of the food item is obtained and results in a sample mean of x 2 6 insect fragments per ten gram portion Complete parts a through c below Save a Why is the sampling distribution of x approximately normal OA The sampling distribution of x is approximately normal because the sample size is large enough OB The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough OC The sampling distribution of x is approximately normal because the population is normally distributed OD The sampling distribution of x is assumed to be approximately normal

the game of roulette a wheel consists of 38 slots numbered 0 00 1 2 36 To play the game a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots If the number of the slot the ball falls ins matches the number you selected you win 35 otherwise you lose 1 Complete parts a through g below Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 a Construct a probability distribution for the random variable X the winnings of each spin P x X 35 1 Type integers or decimals rounded to four decimal pla Save

shape of the distribution of the time required to get an oil change at a 20 minute oil change facility is skewec right However records indicate that the mean time is 21 1 minutes and the standard deviation is 4 5 minutes Complete parts a through c a To compute probabilities regarding the sample mean using the normal model what size sample would be required OA The normal model cannot be used if the shape of the distribution is skewed right OB Any sample size could be used OC The sample size needs to be greater than or equal to 30 OD The sample size needs to be less than or equal to 30 Save

Antimicrobial Approvals 16 14 12 10 8 6 4 2 0 New Antimicrobials Approved by FDA 1983 2012 1983 1988 1993 1998 2003 2008 1987 1992 1997 2002 2007 2012 Years

Suppose the lengths of human pregnancies are normally distributed with 266 days and a 16 days Complete parts a and b below a The figure to the right represents the normal curve with 266 days and o 16 days The area to the left of X 240 is 0 0521 Provide two interpretations of this area Provide one interpretation of the area using the given values Select the correct choice below and fill in the answer boxes to complete your choice Type integers or decimals OA The proportion of human pregnancies that last more than OB The proportion of human pregnancies that last less than days is days is b The figure to the right represents the normal curve with 266 days and o 16 days The area between x 280 and x 300 is 0 1740 Provide two interpretations of this area OA The proportion of human pregnancies that last less than days is OB The proportion of human pregnancies that last between Provide one interpretation of the area using the given values Select the correct choice below and fill in the answer boxes to complete your choice Type integers or decimals Use ascending order Provide a second interpretation of the area using the given values Select the correct choice below and fill in the answer boxes to complete your choice Type integers or decimals OA The probability that a randomly selected human pregnancy lasts more than OB The probability that a randomly selected human pregnancy lasts less than or more than A 240 266 and days is days is days is X 266 280 300 or more than Q and days is X Provide a second interpretation of the area using the given values Select the correct choice below and fill in the answer boxes to complete your choice Type integers or decimals Use ascending order OA The probability that a randomly selected human pregnancy lasts less than OB The probability that a randomly selected human pregnancy lasts between G days is

is a problem calculating probability Consider some physical system which is equally likely to be in one of any of 1000 unique microstates Let s say the system is in a macrostate with physical property A fa hese microstates Let s say the system is in a macrostate with physical property B for 5 of these microstates What is the relative probability i e how many times more or less likely that the system has sical property A

How do we know if the experimental results are different due to the treatments or if the difference occurred purely by chance 1 Below is a diagram that details how one group conducted an experiment to test if the long or short putter was better Use the diagram to describe how the experiment was conducted 20 randomly selected seniors 1 Random Assignment Group 1 10 Students Group 2 10 Students 1 Treatment 1 Long Putter Treatment 2 Short Putter Compare mean distance from hole Page

Does the average Presbyterian donate less than the average Catholic in church on Sundays The 44 randomly observed members of the Presbyterian church donated an average of 30 with a standard deviation of 11 The 41 randomly observed members of the Catholic church donated an average of 31 with a standard deviation of 14 What can be concluded at the a 0 01 level of significance a For this study we should use t test for the difference between two independent population means b The null and alternative hypotheses would be Ho 1 H 1 c The test statistic V d The p value 2 2 please enter a decimal Please enter a decimal please show your answer to 3 decimal places Please show your answer to 4 decimal places

The US Department of Energy reported that 46 of homes were heated by natural gas A random sample of 337 homes in Oregon found that 177 were heated by natural gas Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported Use a 10 significance level Give answer to at least 4 decimal places What are the correct hypotheses Select the correct symbols and use decimal values not percentages Ho P H p Test Statistic Or EV p value O 0 46 Based on the hypotheses find the following O 0 46 9 Round to two decimal places Round to two decimal places Based on the above we choose to Reject the null hypothesis The correct summary would be There is enough evidence to support the claim proportion of homes in Oregon that were heated bu J166 o that the

Do shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared to the day after Christmas The 47 randomly surveyed shoppers on the day after Thanksgiving spent an average of 127 Their standard deviation was 40 The 54 randomly surveyed shoppers on the day after Christmas spent an average of 132 Their standard deviation was 37 What can be concluded at the a 0 05 level of significance For this study we should use t test for the difference between two independent population means a The null and alternative hypotheses would be Ho p1 H 1 b The test statistic V The a DLC u2 u2 please show your answer to 3 decimal places decimal plac

Course Contents Week 12 Post class Probability calculation 4 problem Timer Notes Evaluate Feedback This is a problem calculating probability Consider some physical system which is equally likely to be in one of any of 1000 unique microstates Let s say the system is in a macrostate with physical property A for of these microstates Let s say the system is in a macrostate with physical property B for 5 of these microstates What is the relative probability i e how many times more or less likely that the system has physical property A

The US Department of Energy reported that 49 of homes were heated by natural gas A random sample of 304 homes in Oregon found that 154 were heated by natural gas Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported Use a 5 significance level Give answer to at least 4 decimal places a What are the correct hypotheses Select the correct symbols and use decimal values not percentages Ho P H p b Test Statistic 0 49 Based on the hypotheses compute the following c p value 0 49 q q d Based on the above we choose to Fail to reject the null hypothesis man would be There is not enough evidence to support the claim that the

You wish to test the following claim Ha at a significance level of a 0 1 Ho P P2 Ha P P2 You obtain 155 successes in a sample of size 1 285 from the first population You obtain 200 successes in a sample of size n 306 from the second population For this test you should NOT use the continuity correction and you should use the normal distribution as an approximation for the binomial distribution What is the test statistic for this sample Report answer accurate to three decimal places test statistic z What is the p value for this sample Report answer accurate to four decimal places P value n

Is a statistics class delivery type a factor in how well students do on the final exam The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types Online 89 73 71 70 69 75 96 88 Hybrid 64 95 91 84 68 90 91 89 1 For this study we should use ANOVA 2 The test statistic for this data Ho H1 H2 H3 H At least two of the means differ from each other Face to Face 64 86 56 72 58 90 91 Assume that all distributions are normal the three population standard deviations are all the same and the data was collected independently and randomly Use a level of significance of a 0 1 61 62 Please show your answer to 3 decimal places

Three students Linda Tuan and Javier are given laboratory rats for a nutritional experiment Each rat s weight is recorded in grams Linda feeds her rats Formula A Tuan feeds his rats Formula B and Javier feeds his rats Formula C At the end of a specified time period each rat is weighed again and the net gain in grams is recorded Formula C 56 27 33 40 42 54 42 48 43 Assume that all distributions are normal the three population standard deviations are all the same and the data was collected independently and randomly Use a level of significance of a 0 1 Formula B Formula A 27 53 42 38 52 21 49 43 43 Ho H1 H H3 H At least two of the means differ from each other 1 For this study we should use ANOVA 2 The test statistic for this data 3 The p value for this sample 40 60 23 Please show your answer to 3 decimal places Please show your answer to 4 decimal places

Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye The completion times are shown below Left means the patch was placed over the left eye and Right means the patch was placed over the right eye Time to Complete the Course Right 46 44 48 49 40 41 46 45 Left 45 44 47 47 33 38 44 41 Assume a Normal distribution What can be concluded at the the a 0 05 level of significance level of significance For this study we should use t test for the difference between two dependent population means a The null and alternative hypotheses would be Ho ud H ud b The test statistic V c The p value 0 0 please enter a decimal Please enter a decimal please show your answer to 3 decimal places Please show your answer to 4 decimal places

Do college students enjoy playing sports just as much as watching sports A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it The results of the study are shown below Assume a Normal distribution What can be concluded at the the ax 0 05 level of significance level of significance For this study we should use t test for the difference between two dependent population means a The null and alternative hypotheses would be Houd H ud Playing Vs Watching Sports Play 7 7 10 8 7 1 6 6 10 9 Watch 8 79 79 2 8 8 10 10 b The test statistic tv The p value 0 0 please enter a decimal Please enter a decimal please show your answer to 3 decimal places Please show your answer to 4 decimal places

Do students perform the same when they take an exam alone as when they take an exam in a classroom setting Eight students were given two tests of equal difficulty They took one test in a solitary room and they took the other in a room filled with other students The results are shown below Exam Scores Alone 71 88 74 72 67 99 84 82 Classroom 78 91 81 83 84 99 92 94 Assume a Normal distribution What can be concluded at the the a 0 10 level of significance level of significance For this study we should use t test for the difference between two dependent population means a The null and alternative hypotheses would be Houd H ud b The test statistic tv The valuo 0 0 please enter a decimal Please enter a decimal please show your answer to 3 decimal places Digaro chow your prior to Hooimal plano 1

9 Continuing with the context of the previous problem We now assume the pop ulation mean is 189 still have o runners have a lower mean cholesterol level We collect a sample of cholesterol 40 But we suspect male cross country levels from 16 male cross country runners aged 20 34 and compute a sample mean of 172 a State your hypothesis Ho and Ha H M 189 Ha 4 189 b Find the P value for our sample and determine if it is significant at the a 0 05 level 2 tivo uct 4 172 0 40 n 16 the So c Does the sample provide enough evidence to reject the null hypothesis at the a 0 05 level 0 24 375 P X 172 in N 189 Jove P valve Can X M 35n we valve is 16 172 40 16 less than reject not less than 105 8 0 05 the null hypothesis

of 2 2 Examining the location of accidents on a level 3 mile bike path shows that they occur uniformly along the length of the path Below is the density curve that describes the distribution of accidents height 1 3 0 1 Distance along bike path miles a Explain why this curve satisfies the requirements for a density curve always on horizontal or axis area b What proportion of accidents before the last mile 3 1 32 3 2 66 7 exactly 1 underneath it above the and has 16 16 to P x 5 P X 2 5 c What is the probability that an accident occurs in either the first half mile or the last half mile of the path 33

Find the y intercept of the line y 4 x 15 Write your answer as an integer or as a simplified proper or improper fraction not as an ordered pair

Use the following scenario for questions 3 and 4 The next two questions concern this situation A random sample survey interviewed 3 800 U S adults nationwide by telephone One question asked was whether they agreed with this statement Some people say we should have a third major political party in this country in addition to the Democrats and Republicans In this sample 53 of the people asked responded Yes we should have a third political party The population for this sample survey appears to be The news article that reports the poll results says T percentage points This means that I Select Select Select the 3 800 people who were interviewed all registered voters

A recent study showed that teenagers who had night lights in their rooms as babies are more likely to suffer from myopia near sightedness than teenagers who had not used night lights But genetic factors are known to play a role and near sighted parents are more likely to install a night light in their children s room This makes it hard to tell if the night light caused the myopia This is an example of O the placebo effect O double blinding O an explanatory variable

Question 1 What is the purpose of the random assignment of treatments to subjects in an experiment O To reduce bias in the selection of the subjects to be included in the experiment O To prevent certain groups in the population from being systematically excluded in the experiment O To create roughly equivalent groups before treatments are administered O To eliminate the need for blinding in an experiment

A business has six customer service telephone lines Consider the random variable x Number of lines in use at a randomly selected time Suppose that the probability distribution of x is as follows X p x 0 Need Help Submit Answer 1 2 Read It 3 a Calculate the mean value and standard deviation of x Round your standard deviation to four decimal places Hx ox 4 0 05 0 10 0 17 0 41 0 17 0 08 0 02 b What is the probability that the number of lines in use is farther than 3 standard deviations from the mean value Watch It 5 6 Master It PECKSTAT3 6 4 038 MY NOTES PRACTICE ANOTHER 5 4 Points DETAILS The probability distribution of x the number of tires needing replacement on a randomly selected automobile checked at a certain inspection station is given in the following table

A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 6 mg and a standard deviation of 0 05 mg Round answers to four decimal places USE SALT What is the probability that a randomly selected capsule contains less than 5 9 mg of vitamin E MY NOT What is the probability that a randomly selected capsule contains at least 6 2 mg of vitamin E

The probability distribution of x the number of tires needing replacement on a randomly selected automobile checked at a certain inspection station is given in the following table 6 ox X 0 1 2 The mean value of x is 1 18 Calculate the values of and Round your answers to four decimal places 2 3 4 p x 0 54 0 17 0 06 0 03 0 20 Interpret the value of a 2 This value measures the square of how much on average the number of tires needing replacement deviates from the mean This value measures the long run average number of tires needing replacement relative to the mean O This value measures the long run average number of tires needing replacement CO This value measures the square root of how much on average the number of tires needing replacement deviates from the mean This value measures how much on average the number of tires needing replacement deviates from the mean Interpret the value of a This value measures the square of how much on average the number of tires needing replacement deviates from the mean This value measures the long run average number of tires needing replacement relative to the mean This value measures the long run average number of tires needing replacement This value measures the square root of how much on average the number of tires needing replacement deviates from the mean This value measures how much on average the number of tires needing replacement deviates from the mean

Let z denote a random variable that has a standard normal distribution Determine each of the probabilities below Round your answers to four decimal places a P Z 2 38 b P z 2 38 c P Z 1 22 d P 1 12 z 3 36 e P 0 79 z 0 53 f P Z 3 USE SALT g P z 2 3 39 h P Z 497

Purchases made at small corner stores were studied by the authors of a certain paper Corner stores were defined as stores that are less than 200 square feet in size have only one cash register and primarily sell food After observing a large number of corner store purchases in Philadelphia the authors reported that the average number of grams of fat in a corner store purchase was 21 9 Suppose that the variable x Number of grams of fat in a corner store purchase has a distribution that is approximately normal with a mean of 21 9 grams and a standard deviation of 7 grams Round your answers to four decimal places LUSE SALT a What is the probability that a randomly selected corner store purchase has more than 29 grams of fat b What is the probability that a randomly selected corner store purchase has between 15 and 25 grams of fat c If two corner store purchases are randomly selected what is the probability that both of these purchases will have more than 25 grams of fat Submit Answer 8 2 Points DETAILS PECKSTAT3 6 5 061 S MY NOTES

Suppose that for a given computer salesperson the probability distribution of x Number of systems sold in one week is given by the following table X p x 1 2 3 0 04 0 10 0 13 4 5 6 7 a Find the mean value of x the mean number of systems sold 8 0 30 0 31 0 10 0 01 0 01 b Find the variance and standard deviation of x Round your standard deviation to four decimal places variance standard deviation How would you interpret these values Round your standard deviation to four decimal places The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is c What is the probability that the number of systems sold is within 1 standard deviation of its mean value d What is the probability that the number of systems sold is more than 2 standard deviations from the mean

An appliance dealer sells three different models of upright freezers having 13 6 16 0 and 19 3 cubic feet of storage space Consider the random variable x Amount of storage space purchased by the next customer to buy a freezer Suppose that x has the following probability distribution X Hx 0x 13 6 16 0 p x 0 2 0 5 19 3 0 3 a Calculate the mean and standard deviation of x in cubic feet Hint See Example 6 15 Round your standard deviation to four decimal places cubic ft cubic ft b Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many purchases The mean represents the long run average number of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how many freezers purchased deviates from the mean The mean represents the long run average distribution of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how much the distribution in freezers purchased deviates from the mean The mean represents the long run average type of freezer sold by this particular appliance dealer The standard deviation represents a typical deviation in what type of freezer purchased deviates from the mean The mean represents the long run average cost of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how much is spent on freezers purchased deviates from the mean The mean represents the long run average storage space of friezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how much the storage space in freezers purchased deviates from the mean

Submit Answer 3 Points A person is asked to draw a line segment that they think is 5 inches long The length of the line segment drawn will be measured and the value of x Actual length 5 will a What is the value of x for a person who draws a line segment that is 5 1 inches long DETAILS PECKSTAT3 6 1 008 MI b Is x a discrete or continuous random variable Explain This random variable is Select since the possible values of x are Select

A pizza shop sells pizzas in four different sizes The 1 000 most recent orders for a single pizza resulted in the following proportions for the various sizes Size inches 12 Proportion 14 16 Submit Answer 0 10 0 35 0 48 0 07 With x Size of a pizza in a single pizza order the given table is an approximation to the probability distribution of x a Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single pizza orders Give your answers as percents for 14 inch pizza In the long run we would expect to see approximately of the single pizza orders for 12 inch pizza for 18 inch pizza b What is the approximate value of P x 16 18 c What is the approximate value of P x 16 MY N for 16 inch piz

Determine the following standard normal z curve areas Round your answers to four decimal places USE SALT a the area under the z curve to the left of 1 74 b the area under the z curve to the left of 0 67 c the area under the z curve to the right of 1 40 d the area under the z curve to the right of 2 84 e the area under the z curve between 2 21 and 0 55 f the area under the z curve between 2 and 2 g the area under the z curve between 4 and 4

Suppose that the distribution of typing speed in words per minute wpm for experienced typists using a new type of split keyboard can be approximated by a normal curve with mean 60 wpm and standard deviation 15 wpm t Round your answers to four decimal places LUSE SALT a What is the probability that a randomly selected typist s speed is at most 60 wpm What is the probability that a randomly selected typist s speed is less than 60 wpm b What is the probability that a randomly selected typist s speed is between 30 and 75 wpm c Would you be surprised to find a typist in this population whose speed exceeded 105 wpm It Select be surprising to find a typist in this population whose speed exceeded 105 wpm because the probability of finding such a typist is only d Suppose that two typists are independently selected What is the probability that both their speeds exceed 90 wpm e Suppose that special training is to be made available to the slowest 15 of the typists What typing speeds in wpm would qualify individuals for this training wpm or less is in the slowest 15 of typists Any typist with a typing speed of

Determine the following areas under the standard normal z curve Round your answers to four decimal places USE SALT a to the left of 1 27 b to the right of 1 27 c between 1 and 2 d to the right of 0 e to the right of 4 f between 1 7 and 2 4 a to the left of 0 24

Consider the random variable y Number of broken eggs in a randomly selected carton of one dozen eggs Suppose the probability distribution of y is as follows y p y 0 0 66 1 2 3 0 18 0 12 0 03 4 a Only y values of 0 1 2 3 and 4 have probabilities greater than 0 What is p 4 b How would you interpret p 1 0 18 If you check a large number of cartons the proportion that will have at most one broken egg will equal 0 18 In the long run the proportion of cartons that have exactly one broken egg will equal 0 18 The probability of one randomly chosen carton having broken eggs in it is 0 18 The proportion of eggs that will be broken in each carton from this population is 0 18 c Calculate P y 2 the probability that the carton contains at most two broken eggs Interpret this probability In the long run the proportion of cartons that have exactly two broken eggs will equal this value O The probability of two randomly chosen cartons having broken eggs in them is this value If you check a large number of cartons the proportion that will have at most two broken eggs will equal this value The proportion of eggs that will be broken in any two cartons from this population is this value d Calculate P y 2 the probability that the carton contains fewer than two broken eggs W Chapter 6 homewo Why is this smaller than the probability in part c This probability is less than the probability in part c because the event y 2 is now not included This probability is less than the probability in part c because the proportion of eggs with any exact number of broken eggs is negligible This probability is less than the probability in part c because in probability distributions P y k is always greater than P y k This probability is not less than the probability in part c because the two probabilities are the same for this distribution

Suppose that fundraisers at a university call recent graduates to request donations for campus outreach programs They report the following information for last year s graduates Size of donation Proportion of calls 0 40 0 c What is P x 25 10 d What is P x 0 25 50 Three attempts were made to contact each graduate A donation of 0 was recorded both for those who were contacted but declined to make a donation and for those who were not reached in three attempts Consider the variable x Amount of donation for a person selected at random from the population of last year s graduates of this university a Write a few sentences describing what donation amounts you would expect to see if the value of x was observed for each of 1 000 graduates to donate 10 roughly You would expect roughly of the graduates to donate nothing roughly 50 The frequencies would be close to but not exactly these values The four frequencies would add to 0 35 0 20 0 05 b What is the most common value of x in this population to donate 25 and roughly to donat

The time to assemble a product was recorded for each worker at a company in a sample of 30 A 95 confidence interval for u is 149 156 minutes a The individual object in the study was a randomly selected This is computer graded so use exact wording from the problem above b What was the variable information recorded for each object in the study This is computer graded so use exact wording from the problem above c State the statistical interpretation of the confidence interval in the context of this problem Select an answer company is are between the v d What is the symbol and value of the point estimate for u minutes e What is the margin of error for the given interval time to assemble a product of workers at a and minutes f Fill in the boxes below to show the relation on the number line between the numeric values of the point estimate and the interval estimate for A B C

Biofeedback is a treatment technique in which people are trained to improve their health by using signals from their own bodies Specialists in many different fields use biofeedback to help their patients cope with pain A study was conducted to compare a biofeedback treatment for chronic pain with an NSAID medical treatment A group of 2 000 newly diagnosed chronic pain patients were randomly assigned to receive to one of the two treatments After 6 weeks of treatments the pain levels of the patients were assessed with the following results Treatment Biofeedback NSAID Total Significant Reduction in Pain Yes 560 680 1 240 No 440 320 760 Total 1 000 1 000 2 000 Let T proportion of all patients who have the biofeedback treatment and experience a significant reduction and let T2 proportion of all patients who have the NSAID treatment and experience a significant reduction in pain We are interested in testing

Consider the following contingency table 1 2 cycle cycles Smokers 29 16 Non smokers 3 cycles 55 198 107 181 We are interested in testing if smoking is related to ease of getting pregnant Calculate the test statistic Use 2 decimal places

An advertising agency is considering two advertisements for a major client One of the advertisements is in black and white and the other is in color A market research firm randomly selects 50 male and 50 female customers of the client to evaluate the two advertisements The firm finds that 39 of the 50 males prefer the color advertisement whereas 46 of the 50 females preferred the color advertisement Place a 95 confidence on the difference in the proportions of males and females that prefer the color advertisement 0 277 0 00275 0 317 0 00315 0 177 0 00375 O 0 077 0 00485