Statistics Questions

A study was conducted to determine whether magnets were effective in treating pain The values represent measurements of pain using the visual analog scale Assume that both samples are independent simple random samples from populations having normal distributions Use a 0 05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets What are the null and alternative hypotheses OA Ho 002 H 0 0 2 OC H 0 0 H 0 0 2 Identify the test statistic F Round to two decimal places as needed B H 0 0 2 H 0 0 2 D H 0 0 H 0 0 n Sham 20 Magnet 20 X S 0 44 1 3 0 49 0 91

following results from a test for marijuana use which is provided by a certain drug testing company Among 145 subjects with positive test results there are 27 false positive results Among 153 negative results there are 2 false negative results Complete parts a through c Hint Construct a table a How many subjects were included in the study The total number of subjects in the study was 298 b How many subjects did not use marijuana A total of 178 subjects did not use marijuana c What is the probability that a randomly selected subject did not use marijuana The probability that a randomly selected subject did not use marijuana is Do not round until the final answer Then round to three decimal places as needed

Words were displayed on a computer screen with background colors of red and blue Results from scores on a test of word recall are given below Use a 0 05 significance level to test the claim that the samples are from populations with the same standard deviation Assume that both samples are independent simple random samples from populations having normal distributions Does the background color appear to have an effect on the variation of word recall scores Red Background Blue Background X S n 34 15 66 5 99 36 12 47 5 49 What are the null and alternative hypotheses OA H 0 0 2 H 0 1 202 2 OC Ho o 02 H 0 0 www OB Ho 0 02 H 0 20 OD Ho 0 H 0 0

A research center poll showed that 78 of people believe that it is morally wrong to not report all income on tax returns What is the probability that someone does not have this belief The probability that someone does not believe that it is morally wrong to not report all income on tax returns is Type an integer or a decimal

the selections independent or dependent If the selections are dependent can they be treated as independent for th adults in a region If a polling organization randomly selects 1235 adults without replacement purposes of calculations Are the selections independent or dependent OA The selections are independent because the selection is done without replacement OB The selections are independent because the sample size is small relative to the population OC The selections are dependent because the sample size is not small relative to the population D The selections are dependent because the selection is done without replacement If the selections are dependent can they be treated as independent for the purposes of calculations OA Yes because the sample size is less than 5 of the population OB No because the sample size is greater than 5 of the population OC Yes because the sample size is greater than 5 of the population OD The selections are independent Sa

A modified roulette wheel has 32 slots One slot is 0 another is 00 and the others are numbered 1 through 30 respectively You are placing a bet that the outcome is an even number In roulette 0 and 00 are neither odd nor even a What is your probability of winning The probability of winning is Type an integer or a simplified fraction

hen randomly selecting an adult A denotes the event of selecting someone with blue eyes What do P A and P epresent P A represents the A represents the event of selecting an adult with blue eyes probability of selecting an adult with blue eyes event of selecting an adult who does not have blue eyes probability of selecting an adult who does not have blue eyes

Among 400 randomly selected drivers in the 20 24 age bracket 4 were in a car crash in the last year It a driver in that age bracket is randomly selected what is the approximate probability that he or she will be in a car crash during the nex year Is it unlikely for a driver in that age bracket to be involved in a car crash during a year Is the resulting value high enough to be of concern to those in the 20 24 age bracket Consider an event to be unlikely if its probability is less than or equal to 0 05 The probability that a randomly selected person in the 20 24 age bracket will be in a car crash this year is approximately Type an integer or decimal rounded to the nearest thousandth as needed

Which of the following values cannot be probabilities 1 1 11 0 01 5 3 2 0 41 0 3 5 Select all the values that cannot be probabilities A 3 35 B 5 3 C 2 D 0 41 E 0 01 F 0 G 1 11 H 1

The following are the ratings of men by women in an experiment involving speed dating Use the given data to constr a boxplot and identify the 5 number summary 2 0 2 5 3 5 4 0 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 7 0 7 0 7 0 7 5 8 0 8 5 9 5 The 5 number summary is and Use ascending order Type integers or decimals Do not round Which boxplot below represents the data OA C 0 2 2 4 6 Ratings co 4 6 Ratings 8 00 8 10 10 Q Q O OB O D 0 2 0 2 6 Ratings 4 6 Ratings 00 8 8 10 10 O O

yes years of three government officials when they died in office were 55 44 and 61 Complete parts a through d Part 4 of 4 C Compare the population as to wear the sample ranges Choose the well die vel Tawenimana HW Score 59 76 5 98 of 10 points Points 0 91 of 1 GIIN 06 27 23 9 58 PM Sa OA The population range is equal to the age of the oldest official at the time of death and the mean of the sample ranges is equal to the youngest official at the time death OB The population range is equal to the youngest official at the time of death and the mean of the sample ranges is equal to the oldest official at the time of death c The population range is not equal to the mean of the sample ranges it is also not equal to the age of the oldest official or age of the youngest official at the time of death OD The population range is equal to the mean of the sample ranges d Do the sample ranges target the value of the population range In general do sample ranges make good estimators of population ranges Why or why not A The sample ranges target the population range therefore sample ranges make good estimators of population ranges OB The sample ranges target the population range therefore sample ranges do not make good estimators of population ranges OC The sample ranges do not target the population range therefore sample ranges make good estimators of population ranges OD The sample ranges do not target the population range therefore sample ranges do not make good estimators of polation

Researchers conducted trials to investigate the effects of color on creativity Subjects with a red background were asked to think of creative uses for a brick other subjects with a blue background were given the same task Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table Higher scores correspond to more creativity The researchers make the claim that blue enhances performance on a creative task Assume that the two samples are independent simple random samples selected from normally distributed populations and do not assume that the population standard deviations are equal Complete parts a and b Click the icon to view the summary statistics a Use a 0 01 significance level to test the claim that blue enhances performance on a creative task What are the null and alternative hypotheses OA Ho M H Hy H OC Ho H 2P2 H Hy P Response Summary Statistics Background p Blue Red n X S 44 3 79 0 61 3 06 0 95 1 43 OB Ho M 1 H g M OD Ho M 1 H H H X

genetics experiment involves a population of fruit flies consisting of 2 males named Andre and Bob and 2 females named Courtney and Diane Assume that two fruit flies are randomly selected with replacement 1 1 4 Type integers or fractions b Find the mean of the sampling distribution Save 0 5 Round to two decimal places as needed c Is the mean of the sampling distribution from part b equal to the population proportion of males If so does the mean of the sampling distribution of proportions always equal the population proportion OA Yes the sample mean is equal to the population proportion of males These values are always equal because proportion is an unbiased estimator OB No the sample mean is equal to the population proportion of males These values are not always equal because proportion is a biased estimator OC Yes the sample mean is equal to the population proportion of males These values are always equal because proportion is a biased estimator OD No the sample mean is equal to the population proportion of males These values are not always equal because proportion is an unbiased estimator

pling Three randomly selected children are surveyed The ages of the children are 1 3 and 8 Assume that samples population of 1 3 and 8 Listed below are the nine different samples Complete parts a through d 1 1 1 3 1 8 3 1 3 3 3 8 8 1 8 3 8 8 3 Type an integer or a decimal Do not round b Find the median of each of the nine samples then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values Sample Median Probability fractions

When two births are randomly selected the sample space for genders is bb bg gb and gg Assume that those four outcomes are equally likely Construct a table that describes the sampling distribution of the sample proportion of girls from two births Does the mean of the sample proportions equal the proportion of girls in two births Do the result suggest that a sample proportion is an unbiased estimator of a population proportion For the entire population assume the probability of having a boy is the probability of having a girl is and this is not affected by how many boys or girls have previously been born c Yes both the mean of the sample proportions and the population proportion are OD Yes both the mean of the sample proportions and the population proportion are Does the result suggest that a sample proportion is an unbiased estimator of a population proportion OA No because the sample proportions and the population proportion are the same OB Yes because the sample proportions and the population proportion are the same OC Yes because the sample proportions and the population proportion are not the same OD No because the sample proportions and the population proportion are not the same

Points 0 of 1 34 births are randomly selected the sample space for genders is bb bg gb and gg Assume that those four outcomes are equally likely Construct a table that describes the sampling distribution of the sample proportion of girls from two births Does the mean of the sample proportions equal the proportion of girls in two births Doe the result suggest that a sample proportion is an unbiased estimator of a population proportion For the entire population assume the probability of having a boy is the 1 1 probability of having a girl is and this is not affected by how many boys or girls have previously been born Does the mean of the sample proportions equal the proportion of girls in two births OA No the mean of the sample proportions and the population proportion are not equal OB Yes both the mean of the sample proportions and the population proportion are 3 1 C Yes both the mean of the sample proportions and the population proportion are 1 OD Yes both the mean of the sample proportions and the population proportion are points type integers or simpimed tractions Save

Ling Dis The ages years of three government officials when they died in office were 55 44 and 61 UB 55 44 55 61 44 55 44 61 61 55 61 44 c 55 55 55 44 55 61 44 55 44 44 44 61 61 55 61 44 61 61 OD 55 44 55 61 44 61 b Find the range of each of the samples then summarize the sampling distribution of the ranges in the format of a table representing the probability distribution Sample Range Probability

ing When two births are randomly selected the sample space for genders is bb bg gb and gg Assume that those four outcomes are equally likely describes the sampling distribution of the sample proportion of girls from two births Does the mean of the sample proportions equal the proportion of girls in two births Doe the result suggest that a sample proportion is an unbiased estimator of a population proportion For the entire population assume the probability of having a boy is the 1 1 probability of having a girl is and this is not affected by how many boys or girls have previously been born Determine the probabilities of each sample proportion Sample proportion of girls Probability 1 0 simplified fractions

ing Dist A genetics experiment involves a population of fruit filles consisting of 2 males named Andre and Bob and 2 are randomly selected with replacement a After listing the possible samples and finding the proportion of males in each sample use a table to describe the sampling distribution of the proportion of males Proportion of males Probability 0 0 5 1 AINHAM GLIDS Type integers or fractions b Find the mean of the sampling distribution un decimal places as needed

ng A genetics experiment involves a population of fruit flies consisting of 2 males named Andre and Bob and 2 females named are randomly selected with replacement a After listing the possible samples and finding the proportion of males in each sample use a table to describe the sampling distribution of the proportion of males Proportion of males Probability 0 0 5 1 Type integers or fractions

ng Distributi Gaca The ages years of three government officials when they died in office were 55 44 a Assuming that 2 of the ages are randomly selected with replacement list the different possible samples O A 55 55 55 44 55 61 44 44 44 61 61 61 OB 55 44 55 61 44 55 44 61 61 55 61 44 OC 55 55 55 44 55 61 44 55 44 44 44 61 61 55 61 44 61 61 OD 55 44 55 61 44 61

Distributions Qu Part 1 of 4 ree randomly selected children are surveyed The ages of the children are 1 3 and 8 Assume that sam opulation of 1 3 and 8 Listed below are the nine different samples Complete parts a through d 1 1 1 3 1 8 3 1 3 3 3 8 8 1 8 3 8 8 a Find the value of the population median Type an integer or a decimal Do not round

e Standard Find the indicated z score The graph depicts the standard normal distribution with mean 0 and standard The indicated z score is as needed 2206

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1 find the percentage of scores that are a significantly high or at least 2 standard deviations above the mean b significantly low or at least 2 standard deviations below the mean c not significant or less than 2 standard deviations away from the mean a The percentage of bone density scores that are significantly high is 9 Round to two decimal places as needed

K Assume that a randomly selected subject is given a bone density test Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1 Draw a graph and find P14 the 14th percentile This is the bone density score separating the bottom 14 from the top 86 Which graph represents P14 Choose the correct graph below A P14 Q Q OB The bone density score corresponding to P14 is P 4 Q c P14 Q OD P14 Q Q

The number of fires set by candles in a home is normally distributed The data is for 7 randomly selected years Establish a 99 confidence interval for the mean 5460 5900 6090 6310 7160 8440 9930 What is the lower bound of the interval rounded to the nearest whole number What is the upper bound of the interval rounded to the nearest whole number Why is a T interval appropriate OA The value of the population standard deviation is not known OB The value of the population standard deviation can be found with the TI OC The population is normally distributed OD Both A and C

standard deviation 1 region The graph depicts the standard normal distribution of bone density scores with mean 0 and Z 1 19

standard deviation 1 region graph depicts the standard normal d questo Jensity scores with m

Find the mean of the data summarized in the given frequency distribution Compare the computed mean to the actual mean of 51 2 degrees Low Temperature o F Frequency 40 44 45 49 50 54 55 59 60 64 1 6 9 4 1 The mean of the frequency distribution is 51 5 degrees Round to the nearest tenth as needed Which of the following best describes the relationship between the computed mean and the actual mean O A The computed mean is close to the actual mean because the difference between the means is less than 5 of the actual mean OB The computed mean is close to the actual mean because the difference between the means is more than 5 of the actual mean OC The computed mean is not close to the actual mean because the difference between the means is less than 5 of the actual mean D The computed mean is not close to the actual mean because the difference between the means is more than 5 of the actual mean

A researcher is interested in finding a 99 confidence interval for the mean number of times per day that college students text The study included 131 students who averaged 28 2 texts per day The standard deviation was 14 2 texts Round answers to 3 decimal places where possible a With 99 confidence the population mean number of texts per day is between texts and b If many groups of 131 randomly selected members are studied then a different confidence interval would be produced from each group About percent of these confidence intervals will contain percent will not contain the true the true population number of texts per day and about population mean number of texts per day

Listed below are amounts in millions of dollars collected from parking meters by a security company in a certain city A larger data set was used to convict 5 members of the company of grand larceny Find the mean and median for each of the two samples and then compare the two sets of results Do the limited data listed here show evidence of stealing by the security company s employees Security Company Other Companies 1 8 1 5 1 8 1 5 1 7 1 1 1 6 1 1 1 1 1 40 2 1 2 3 1 7 1 9 1 7 1 8 2 3 1 9 1 9 1 5 Find the means The mean for the security company is Type integers or decimals rounded to two decimal places as needed million and the mean for the other companies is million

If your score on your next statistics test is converted to a z score which of these z scores would you prefer 2 00 1 00 0 1 00 2 00 Why OA The z score of 1 00 is most preferable because it is 1 00 standard deviation above the mean and would correspond to an above average test score OB The z score of 2 00 is most preferable because it is 2 00 standard deviations above the mean and would correspond to the highest of the five different possible test scores OC The z score of 0 is most preferable because it corresponds to a test score equal to the mean OD The z score of 1 00 is most preferable because it is 1 00 standard deviation below the mean and would correspond to an above average test score OE The z score of 2 00 is most preferable because it is 2 00 standard deviations below the mean and would correspond to the highest of the five different possible test scores

Below are the jersey numbers of 11 players randomly selected from a football team Find the range variance and standard deviation for the given sample data What do the results tell us 6 15 29 80 16 98 38 85 22 68 82 Range 92 Round to one decimal place as needed Sample standard deviation 33 8 Round to one decimal place as needed Sample variance 1145 2 Round to one decimal place as needed What do the results tell us O A Jersey numbers on a football team do not vary as much as expected OB Jersey numbers are nominal data that are just replacements for names so the resulting statistics are meaningless OC Jersey numbers on a football team vary much more than expected OD The sample standard deviation is too large in comparison to the range

In a survey conducted by a wedding planning website 1247 married or engaged women were asked about the importance of a bended knee when making a marriage proposal Among the 1247 respondents 36 said that the bended knee was essential Complete parts a through d a What is the exact value that is 36 of 1247 survey respondents The exact value is Type an integer or a decimal Do not round b Could the result from part a be the actual number of survey respondents who said that a bended knee is essential Why or why not A Yes the result from part a could be the actual number of survey respondents who said this because the result is statistically significant O B No the result from part a could not be the actual number of survey respondents who said this because a count of people must result in a whole number No the result from part a could not be the actual number of survey respondents who said this because that is a very rare outcome OC OD Yes the result from part a could be the actual number of survey respondents who said this because the polling numbers are accurate c What is the actual number of survey respondents saying that the bended knee is essential The actual number of survey respondents with this response is Round to the nearest whole number as needed d Among the 1247 respondents 85 said that a bended knee is corny and outdated What percentage of respondents said that a bended knee is corny and outdated Round to the nearest whole number as needed

This question 1 point s possible The access code for a garage door consists of three digits Each digit can be any number from 0 through 8 and each digit can be repeated Complete parts a through c a Find the number of possible access codes b What is the probability of randomly selecting the correct access code on the first try c What is the probability of not selecting the correct access code on the first try a Find the number of possible access codes The number of different codes available is b What is the probability of randomly selecting the correct access code on the first try The probability of randomly selecting the correct access code is Round to three decimal places as needed c What is the probability of not selecting the correct access code on the first try The probability of not selecting the correct access code is Round to three decimal places as needed CELEB

What is the difference between an outcome and an event Choose the correct answer below A OA An outcome is the result of a single probability experiment An event is a set of one or more possible outcom B An event is the result of a single probability experiment An outcome is a set of one or more possible events OC An event is the result of a single probability experiment An outcome is the set of all possible events O D An outcome is the result of a single probability experiment An event is the set of all possible outcomes

What is the significance of the mean of a probability distribution Choose the correct answer below OA It can never be negative B It is the expected value of a discrete random variable OC It gives information about how the outcomes vary OD It represents the most likely possible outcome

According to government data the probability that a woman between the ages of 25 and 29 was never married is 40 In a random survey of 10 women in this age group what is the probability tha eight were married A 1 002 OB 0 161 OC 0 013 OD 0 167

K Sixty five percent of men consider themselves knowledgeable football fans If 14 men are randomly selected find the probability that exactly six of them will consider themselves knowledgeable O A 0 051 OB 0 176 OC 0 650 OD 0 429 This question 1 point s possible E

This question 1 point s possible In a recent survey 80 of the community favored building a police substation in their neighborhood If 15 citizens are chosen what is the mean number favoring the substation OO O A 10 B 12 O C 15 OD 8

K The following table contains data from a study of two airlines which fly to Small Town USA Number of flights which were on time Number of flights which were late Podunk Airlines 33 43 6 5 Upstate Airlines If one of the 87 flights is randomly selected find the probability that the flight selected is an Upstate Airlines flight given that it was late Express your answer as a simplified fraction 5 OA 48 O B 5 87 5 11 OD None of the above is correct O C C M This question 1 point s possible

The table lists the smoking habits of a group of college students Regular Smoker Heavy Smoker Sex Man Woman Total Non smoker 135 187 322 A 0 945 B 0 928 OC 0 941 OD 0 859 34 21 55 5 7 12 Total 174 215 389 If a student is chosen at random find the probability of getting someone who is a man or a non smoker Round your answer to three decimal

Determine the written description of the complement of the given event When ten televisions are shipped at least one of them is free of defects Choose the correct answer below OA None of them are defective OB More than one of them are defective OC All of them are defective OD All of them are free of defects

Show the ages of recent award winning male actors at the time when they won their award Make a frequency table for the data using bins of 20 29 30 39 and so on Click the icon to view the ages of male actors Complete the table below Age 20 29 30 39 40 49 50 59 60 69 70 79 No of actors Data table 6445 33 56 20 76 31 51 34 41 43 2557 41 42 42 31 35 51 53 35 43 40 30 42 68 52 34 30 41 41 57 70 39 40 33

The probability is Type an integer or a decimal Do not round poss Nineteen of the 100 digital video recorders DVRs in an inventory are known to be defective What is the probability you randomly select a DVR that is not defective submit quiz

Given the confidence interval 0 44 0 72 determine the value of p a 0 140 b 1 160 c 0 280 d 0 580

Which of the following is NOT a property of the Student t distribution Select one a reflects variability for small samples O b symmetric C same for all sample sizes d standard deviation is n

Determine the t score used for each confidence interval Report to 3 decimal places A n 6 and 95 confidence B n 14 and 99 confidence

The SAT Verbal Test in recent years followed approximately a normal distribution with a mean of 460 and a standard deviation of 110 The scores on the ACT English Test follow approximately a normal distribution with a mean of 17 and a standard deviation of 2 5 a Fill out the following curves for each distribution Be sure to label your set of numbers which is for which exam You can give your answers as a list of values Explain your values b What is the probability that a randomly selected student scored less than a 14 5 on the ACT English Test Explain c What is the probability that a randomly selected student scored more than a 650 on the SAT Verbal Test Explain d What is the probability that a randomly selected student scored between a 13 and a 20 on the ACT English Test Explain e Joey took the SAT Verbal Test and made a score of 550 Sarah took the ACT English Test and made a score of 18 Find the z score for each student to determine who made the score Explai

The least squares regression equation is y 733 3x 13 594 where y is the median income and x is the percentage of 25 years and older with at least a bachelor s degree in the region The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0 7833 Complete parts a through d Median Income 55000 20000 15 20 25 30 35 40 45 50 55 60 Bachelor s OA For a median income of 0 the percent of adults with a bachelor s degree is OB For every dollar increase in median income the percent of adults having at least a bachelor s degree is on average C For every percent increase in adults having at least a bachelor s degree the median income increases by 733 3 on average D For 0 of adults having a bachelor s degree the median income is predicted to be Q Q d Explain why it does not make sense to interpret the y intercept Choose the correct answer below OA It does not make sense to interpret the y intercept because a y value of 0 does not make sense OB It does not make sense to interpret the y intercept because an x value of 0 does not make sense OC It does not make sense to interpret the y intercept because an x value of 0 is outside the scope of the model D It does not make sense to interpret the y intercept because a y value of 0 is outside the scope of the model