Statistics Questions

Question Solve for all values of a by factoring Answer Attempt 1 out of 2 Additional Solution No Solution P x 23x 6 2x 6 Submit Answer

8 43 of adults say cashews are their favorite kind of nut You randomly select 12 adults and ask each to name his or her favorite nut P the probability that the number who say cashews are their favorite nut is a exactly three b at least four and c at most two If convenient use technology to find the probabilities a P 3 Round to the nearest thousandth as needed b P x24 c P x 2 Round to the nearest thousandth as needed Round to the nearest thousandth as needed

Construct a truth table for the statement q p Complete the truth table below p T q P q T F F q p q p

7 Fifty five percent of households say they would feel secure if they had 50 000 in savings You randomly select 8 households and them if they would feel secure if they had 50 000 in savings Find the probability that the number that say they would feel secure exactly five b more than five and c at most five a Find the probability that the number that say they would feel secure is exactly five P 5 Round to three decimal places as needed b Find the probability that the number that say they would feel secure is more than five P x 5 Round to three decimal places as needed c Find the probability that the number that say they would feel secure is at most five P x5

Use a truth table to determine whether q p p q is a tautology a self contradiction or neither Choose the correct answer below OA The statement q p p q is a tautology B The statement q p p q is neither a tautology nor a self contradiction C The statement q p p q is a self contradiction

Use a truth table to determine whether the statement below is a tautology a self contradiction or neither pq q p Choose the correct choice below A The statement p q q p is a tautology B The statement is neither a tautology or self contradiction C The statement p q q p is a self contradiction

6 32 of a certain country s voters think that it is too easy to vote in their country You randomly select 12 likely voters Find the probability that the number of likely voters who think that it easy to vote is a exactly three b at least four c less than eight a P 3 Round to three decimal places as needed b P x24 Round to three decimal places as needed c P x 8 Round to three decimal places as needed

Blood type AB is found in only 3 of the population If 290 people are chosen at random find the probability of the following the normal approximation Round your answers to four decimal places a 5 or more will have this blood type 0 8642 x b between 5 and 10 will have this blood type 0 3372 x

Match each word or phrase with the definition alternative null hypothesis A Drag each word into the appropriate place below in order to correctly complete each of the following sent The The is a statement regarding a characteristic of one or more populations 11 is a statement of no change no effect or no difference is a statement we are trying to find evidence to support

A can of soda is labeled as containing 11 fluid ounces The quality control manager wants to verify that the filling machine is neither over filling nor under filling the cans Complete parts a through d below a Determine the null and alternative hypotheses that would be used to determine if the filling machine is calibrated correctly Ho H V V Type integers or decimals Do not round V b The quality control manager obtains a sample of 81 cans and measures the contents The sample evidence leads the manager to reject the null hypothesis Write a conclusion for this hypothesis test sufficient evidence to conclude that the machine is out of calibration c Suppose in fact the machine is not out of calibration Has a Type I or Type IIl error been made has been made since the sample evidence led the quality control manager to is true There A null hypothesis when the the d Management has informed the quality control department that it does not want to shut down the filling machine unless the evidence is overwhelming that the machine is out of calibration What level of significance would you recommend the quality control manager to use Explain The level of significance should be because this makes the probability of Type I error

The manufacturer of a certain engine treatment claims that if you add their product to your engli from excessive wear An infomercial claims that a woman drove 3 hours without oil thanks to the engine treatment A magazine tested engines in which they added the treatment to the motor oil ran the engines drained the oil and then determined the time until the engines seized Complete parts a and b below a Determine the null and alternative hypotheses that the magazine will test Ho H 3 3 b Both engines took exactly 15 minutes to seize What conclusion might the magazine make based on this evidence OA The infomercial s claim is not true OB The infomercial s claim is true

According to a report the standard deviation of monthly cell phone bills was 5 48 three years ago A researcher suspects that the standard deviation of monthly cell phone bills is different today Determine the null and alternative hypotheses Determine the correct hypotheses Ho H 5 48 5 48

Estimate the population mean by finding a 99 5 confidence interval given a sample of size 60 with a mean of 59 3 and a standard deviation of 16 6 Preliminary a Is it safe to assume that n 5 of all subjects in the population Yes No b Is n 30 Yes No Confidence Interval What is the 99 5 confidence interval to estimate the population mean Enter your answer as an open interval i e parentheses accurate to one decimal place

The data below represent the length in miles of a random sample of tornadoes in a specific area This length represents the number of miles a particular tornado was on the ground Use the data to complete parts a through d below Click the icon to view the table of tornado lengths a Draw a histogram of the data and comment on the shape Choose the correct histogram below O C OA Relative Frequency 0 6 0 4 0 2 0 6 12 18 24 Length in miles 11 00 Q G 0 5 10 15 20 25 Length Relative Frequenc 0 6 Q Q 0 4 6 12 Length in miles Comment on the shape of the histogram Choose the correct answer below 0 2 CLXX A The histogram is uniform OB The histogram is symmetric and bell shaped C The histogram is skewed right OD The histogram is skewed left b Draw a boxplot of the data Are there any outliers Choose the correct boxplot below O A OB 0 18 24 5 O OU 10 15 20 25 Length Relative Frequency G 0 4 0 2 OC 9 12 15 Length in miles 00 0 5 10 15 20 25 Length

A doctor wants to estimate the mean HDL cholesterol of all 20 needed to estimate the mean HDL cholesterol within 3 points with 99 confidence assumi earlier studies Suppose the doctor would be content with 90 confidence How does the decrease in confide affect the sample size required Click the icon to view a partial table of critical values A 99 confidence level requires 191 subjects Round up to the nearest subject A 90 confidence level requires subjects Round up to the nearest subject Partial Critical Value Table Level of Confidence 1 x 100 90 95 99 Area in Each Tail 0 05 0 025 0 005 2 Critical Value Z 2 1 645 1 96 2 575 I X

The trade magazine QSR routinely checks the drive through service times of fast food restaurants A 99 confidence interval that results from examining 739 customers in Taco Bell s drive through has a lower bound of 158 7 seconds and an upper bound of 163 5 seconds Complete parts a through c a What is the mean service time from the 739 customers The mean service time from the 739 customers is 161 1 seconds Type an integer or a decimal Do not round b What is the margin of error for the confidence interval The margin of error is 2 4 seconds Type an integer or a decimal Do not round c Interpret the confidence interval Select the correct choice below and fill in the answer boxes to complete your choice Type integers or decimals Do not round OA One can be confident that the mean drive through service time of Taco Bell is between and seconds OB There is a probability that the mean drive through service time of Taco Bell is between and seconds OC The mean drive through service time of Taco Bell is OD One can be seconds of the time confident that the mean drive through service time of Taco Bell is seconds seconds seconds

People were polled on how many books they read the previous year Initial survey Complete parts a through d below Click the icon to view a partial table of critical values a How many subjects are needed to estimate the mean number of books read the previous year within four book with 95 confidence This 95 confidence level requires 80 subjects Round up to the nearest subject b How many subjects are needed to estimate the mean number of books read the previous year within two boo with 95 confidence This 95 confidence level requires subjects Round up to the nearest subject Partial Critical Value Table Level of Confidence 1 x 100 90 95 Area in Each Tail 0 05 0 025 0 005 2 Critical Value Zxx 2 1 645 1 96 2 575 X

e data shown below represent the repair cost for a low impact collision in a simple random sample of mini ad micro vehicles such as the Chevrolet Aveo or Mini Cooper Complete parts a through c 3108 1008 742 646 765 1706 3310 2024 2628 1358 lick here to view page 1 of the standard normal distribution table lick here to view page 2 of the standard normal distribution table Click here to view the table of critical t values a Draw a boxplot to check for outliers Choose the correct answer below F 2000 4000 OB 0 2000 4000 Q O C T 2000 4000 A Yes the distribution is roughly symmetric and there are no outliers OB Yes the distribution is highly skewed with outliers OC No the boxplot shows there are outliers OD No the distribution is roughly symmetric with no outliers G b Construct and interpret a 95 confidence interval for the population mean cost of repair Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean OB There is a 95 probability that the mean cost of repair is OC The confidence interval should not be constructed OD O 2000 4000 and If the boxplot suggests a confidence interval can be constructed calculate and interpret the lower bound and the upper bound of the confidence interval Select the correct choice below and if necessary fill in the answer boxes to complete your choice Round to the nearest dollar Use ascending order A We are 95 confident that the mean cost of repair is between 1013 and 2446 etween Q c Suppose you obtain a simple random sample of size n 10 of a Mini Cooper that was in a low impact collision and determine the cost of repair Do you think a 95 confidence interval would be wider or narrower Explain O A Narrower because taking a second random sample will always lead to a narrower confidence interval OB Wider because there is more variability in the data because variability in the repair cost of the car has been added OC Wider because taking a second random sample will always lead to a wider confidence interval D Narrower because there is less variability in the data because any variability caused by the different types of vehicles has been removed

The data shown below represent the repair cost for a low impact collision in a simple random sample of mini and micro vehicles such as the Chevrolet Aveo or Mini Cooper Complete parts a through c 3108 1008 742 646 765 1706 3310 2024 2628 1358 Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table Click here to view the table of critical t values a Draw a boxplot to check for outliers Choose the correct answer below T 0 2000 4000 Q OB 2000 T 4000 OC 0 2000 4000 A Yes the distribution is roughly symmetric and there are no outliers OB Yes the distribution is highly skewed with outliers OC No the boxplot shows there are outliers OD No the distribution is roughly symmetric with no outliers 5 A We are 95 confident that the mean cost of repair is between a OB There is a 95 probability that the mean cost of repair is between OC The confidence interval should not be constructed O D b Construct and interpret a 95 confidence interval for the population mean cost of repair Does the boxplot suggest that it is reasonable to construct a confidence interval for the population mean and 0 and 2000 If the boxplot suggests a confidence interval can be constructed calculate and interpret the lower bound and the upper bound of the confidence interval Select the correct choice below and if necessary fill in the answer boxes to complete your choice Round to the nearest dollar Use ascending order 4000

In a survey 1000 adults in a certain country were asked how many hours they worked in the previous week Based on the results a 95 confidence interval for mean number of hours worked was lower bound 37 2 and upper bound 38 9 Which of the following represents a reasonable interpretation of the result For those that are not reasonable explain the flaw Complete parts a through d below a There is a 95 chance the mean number of hours worked by adults in this country in the previous week was between 37 2 hours and 38 9 hours OA Flawed This interpretation makes an implication about individuals rather than the mean B Flawed This interpretation implies that the population mean varies rather than the interval OC Correct This interpretation is reasonable OD Flawed This interpretation implies that the mean is only for last week b We are 95 confident that the mean number of hours worked by adults in this country in the previous week was between 37 2 hours and 38 9 hours OA Flawed This interpretation makes an implication about individuals rather than the mean OB Flawed This interpretation does not make it clear that the 95 is the probability that the mean is within the interval OC Flawed This interpretation implies that the population mean varies rather than the interval D Correct This interpretation is reasonable c 95 of adults in this country worked between 37 2 hours and 38 9 hours last week O A Correct This interpretation is reasonable OB Flawed This interpretation does not make it clear that the 95 is the probability that the mean is within the interval C Flawed This interpretation makes an implication about individuals rather than the mean OD Flawed This interpretation implies that the mean is only for last week

K A doctor wants to estimate the mean HDL cholesterol of all 20 to 29 year old females How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99 confidence assuming s 16 1 based on earlier studies Suppose the doctor would be content with 90 confidence How does the decrease in confider affect the sample size required Click the icon to view a partial table of critical values A 99 confidence level requires subjects Round up to the nearest subject Partial Critical Value Table Level of Confidence 1 x 100 90 95 FRISSEN Area in Each Tail 0 05 0 025 XX 2 Critical Value Z 2 1 645 196 X U

In a survey 1000 adults in a certain country were asked how many hours they worked in the previous week Based on the results a 95 confidence interval for mean number of hours worked was lower bound 37 2 and upper bound 38 9 Which of the following represents a reasonable interpretation of the result For those that are not reasonable explain the flaw Complete parts a through d below SCOO a There is a 95 chance the mean number of hours worked by adults in this country in the previous week was between 37 2 hours and 38 9 hours OA Flawed This interpretation makes an implication about individuals rather than the mean B Flawed This interpretation implies that the population mean varies rather than the interval OC Correct This interpretation is reasonable OD Flawed This interpretation implies that the mean is only for last week b We are 95 confident that the mean number of hours worked by adults in this country in the previous week was between 37 2 hours and 38 9 hours OA Flawed This interpretation makes an implication about individuals rather than the mean OB Flawed This interpretation does not make it clear that the 95 is the probability that the mean is within the interval OC Flawed This interpretation implies that the population mean varies rather than the interval O D Correct This interpretation is reasonable

XO 0 1 2 3 P x 0 2 0 05 0 15 0 6 Find the standard deviation of this probability distribution Give your answer to 4 decimal

A fair coin is flipped 11 times Find the probability that more than 7 of the flips turn up tails O 0 100901 O 0 126692 O 0 0895181 00 113281 O 0 0609632

The television show September Road has been successful for many years That show recently had a share of 28 which means that among the TV sets in use 28 were tuned to September Road An advertiser wants to verify that 28 share value by conducting its own survey and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast Find the probability that none of the households are tuned to September Road P none Find the probability that at least one household is tuned to September Road P at least one Find the probability that at most one household is tuned to September Road P at most one If at most one household is tuned to September Road does it appear that the 28 share value is wrong Hint Is the occurrence of at most one household tuned to September Road unusual O no it is not wrong O yes it is wrong

The owner of a small deli is trying to decide whether to discontinue selling magazines He suspects that only 9 7 of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable Before making a final decision he decides that for one day he will keep track of the number of customers that buy a magazine Assuming his suspicion that 9 7 of his customers buy a magazine is correct what is the probability that exactly 5 out of the first 10 customers buy a magazine O 0 000314609 0 00129927 O 0 000484762 0 000839050 O 0 000643632 O 0 00177055

For families with 5 children let X be the number of children with Genetic Condition B Can the following table be a probability distribution for the random variable X X P x 1 0 1594 2 0 3206 3 0 2246 4 0 1724 5 0 1231 O yes O no

Question 1 of 2 Choose the correct answer below This quiz 2 point s possible This question 1 point s possible Submit quiz The probability of rolling two dice and getting a double 1 making a sum of 2 or snake eyes is 1 in 36 Suppose you rolled two dice twice Which statement is not true OA The probability of getting a double 1 is 1 36 for each individual roll There are thirty six different outcomes and getting a double 1 is one of the outcomes OB The probability of getting a double 1 on at least one of the two rolls is 71 1296 This can be shown by the at least once rule for independent events OC The probability of getting a double 1 both times is 1 36x1 36 There is a one in six chance of rolling a one on either die and the pair of dice is going to be rolled twice OD The probability of getting a double 1 both times is 1 36x1 36 The probability of getting a double 1 is 1 36 both times the dice are rolled O E The probability of getting a double 1 is 1 36 for each individual roll There is a one in six chance of rolling a one on either die OF The probability of getting a double 1 on at least one of the two rolls is 2 36 This was the probability that the Chevalier used and he won a lot of bets

X y 2 3 596 731 734 4 5 6 849 952 1078 Use linear regression to find an linear function that best fits these data

The table below shows the number of state registered automatic weapons and the murder rate for several Northwestern states 8 6 6 9 3 9 7 thousands of automatic weapons y murders per 100 000 residents These data can be modeled by the equation y 0 82x 4 05 Use this equation to answer the following A How many murders per 100 000 residents can be expected in a state with 7 4 thousand automatic weapons 16 11 5 Y 13 5 11 2 9 6 Answer Answer 2 5 2 1 0 4 6 4 3 Question Help 2 5 6 3 6 B How many murders per 100 000 residents can be expected in a state with 7 5 thousand automatic weapons Round to 3 decimal places Round to 3 decimal places

In this formula c 6 40 2 00 h c represents the total charge for babysitting and h represents the number of hours the child is kept Which is the amount Joe should pay when his child is at the babysitting service for 2 hours O 16 80 O 10 40 O 8 40 O 10 23

Statins are used to keep cholesterol in check and are a top selling drug in the U S The equation S 1 8c 5 7 gives the amount of sales S of statin in billions of dollars a years after 1998 According to this equation how much will did people in the U S spend on statins in the year 2017 Answer People in the U S will spend billion dollars on statins in 2017

Solve 5x2 4 for a X

Solve 17 5x 8 X

Solve 9x9 5 Where x

Solve for x 52 1 31 8 11

Solve for x X 6 29

Solve for a a 8 46

Solve the equation 6x 5 2 algebraically

The table below shows the number of state registered automatic weapons and the murder rate for several states in the U S x Y 11 9 8 5 7 2 3 5 14 3 11 4 10 2 thousands of automatic weapons y murders per 100 000 residents 2 8 2 7 2 1 0 4 7 6 1 6 4 6 1 4 1 Keep in mind the data in the table do not necessarily imply a direct causal link between the two variables In fact can you think of any reasons why these variables may not be directly related to each other Also the purpose of this question is not to make a political statement about guns or gun control It s only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with linear equations Those relationships should always be questioned and examined carefully With that said these data can be modeled by the equation 0 87x 3 92 Use this equation to answer the following A If this model is consistent how many murders per 100 000 residents can be expected in a state with 4 thousand automatic weapons Give your answer to three 3 decimal places Answer B If this model is consistent how many murders per 100 000 residents can be expected in a state with 3 5 thousand automatic weapons Give your answer to three 3 decimal places Answer

y 11 589 611 658 630 645 661 Use linear regression to find an linear function that best fits these data

A regression was run to determine if there is a relationship between hours of TV watched per day x and number of situps a person can do y The results of the regression were y a bx b 1 136 a 30 427 r2 0 859329 r 0 927 Use this to predict the number of situps a person who watches 13 5 hours of TV can do Round to one decimal place

The line of best fit through a set of data is 20 578 0 573x According to this equation what is the predicted value of the dependent variable when the independent variable has value 120 Round to 1 decimal place

Match the dating method with the kind of materials and events they date C 14 dating Carbon dating Argon Argon dating Ar 40 AR 39 Paleomagnetic dating Biostratigraphic dating Choose associated animal fossils and those animals known time ranges the organism and when it died volcanic materials such as ash and when the volcano erupted sediments or rock that includes iron and when those materials formed recording the earth s magnetic poles fl Choose Choose

Which of the following life stages are relatively unique to humans among the other mammals mark all that apply adolescence living into old age past reproduction

Where and when are the earliest primates found O Antartica Mesozoic O Africa 20 mya O North America USA Europe and Asia early Eocene O South America 30 mya

What epoch are you currently living in Devonian O Mesozoic O Holocene Anthropocene Pleistocene O Miocene

a If given an approximately normal distribution with mean of 159 and a standard deviation of 17 answers Part A and Part B below You may have to scroll down Part A Label the bottom of the normal distribution curve below b Part B The percent of all values between 125 and 193 is

4 About 20 of babies born with a certain ailment recover fully A hospital is caring for five babies born with this ailment The random variable represents the number of bables that recover fully Decide whether the experiment is a binomial experiment If it is identify a success specify the values of n p and q and list the possible values of the random variable x Is the experiment a binomial experiment Yes O No What is a success in this experiment Baby recovers Baby doesn t recover This is not a binomial experiment Specify the value of n Select the correct choice below and fill in any answer boxes in your choice A n B This is not a binomial experiment Specify the value of p Select the correct choice below and fill in any answer boxes in your choice A p OB This is not a binomial experiment Specify the value of q Select the correct choice below and fill in any answer boxes in your choice A q B This is not a binomial experiment List the possible values of the random variable x Ox 0 1 2 4 x 0 1 2 5 x 1 2 3 5

The Histograms each represent part of a binomial distribution Each distribution has the same probability of success p but different numbers of trials n Identify the unusual values of x in each histog a n 4 b n 8 AP x c n 12 Q Q 0 5 0 44 0 3 0 2 0 1 0 012345678910 Q Ax 0 and x 1 B x 3 and x 4 5 AP x 0 5 0 4 0 3 0 24 0 1 0 1 012345678910 Q Q 5 OA x 0 x 1 x 2 x 3 x 4 x 5 and x 6 OB x 0 x 1 x 2 x 3 and x 4 OC x 0 and x 1 OD There are no unusual values of x in the histogram AP x Identify the unusual values of x in histogram a Choose the correct answer below 0 4 0 3 0 24 0 1 0 LAULABLA 0 1 2 3 4 5 6 7 8 9 10111213 OC x 0 x 1 x 2 x 3 and x 4 D There are no unusual values of x in the histogram Identify the unusual values of x in histogram b Choose the correct answer below OA x 0 and x 1 OB x 7 OC x 0 x 1 x 2 x 3 and x 4 OD There are no unusual values of x in the histogram Identify the unusual values of x in histogram c Choose the correct answer below