Statistics Questions

What is the mathematical equation for any line s added to a plot using abline function O y a bx O y b ax O x b ay O x a by

A spinner with 5 equally sized slices has 3 yellow slices 1 red slice and 1 blue slice Rachel spun the dial 1000 time got the following results Outcome Number of Spins Answer the following Round your answers to the nearest thousandths Yellow 633 Red a From Rachel s results compute the experimental probability of landing on yellow 0 c Assuming that the spinner is fair choose the statement below that is true O With a large number of spins there might be a difference between the experimental and theoretical probabilities but the difference should be small 181 b Assuming that the spinner is fair compute the theoretical probability of landing on yellow 0 With a large number of spins there must be no difference between the experimental and theoretical probabilities O With a large number of spins there must be a large difference between the experimental and theoretical probabilities Blue 186 X

Which command will count the total number of characters in a character vector x Osum nchar x length nchar x sapply x nchar O length x

What is the output of length paste c a bc def c ghi jkl 1 0 3 2

Can low level plot functions be used if no plots are open O No O Yes

What is the name of the high level plot function argument that specifies the title of a plot O main title O head

What is the length of the vector c NULL NULL 02 0 1

Consider the following venn diagram A Pr A is closest to 06 7 06 13 04 12 013 18 00 7 04 15 012 17 011 23 Pr B is closest to 010 15 02 7 02 13 012 23 06 12 05 7 011 18 08 17 Pr A U B is closest to 011 15 02 7 017 23 015 17 07 7 09 12 017 18 06 13 Pr AB is closest to 02 2 06 12 01 6 00 2 04 5 5 8 07 11 03 10 Events A and B are L B Q

Consider the scatterplot 20 15 10 G 0 5 10 unit pressure diff vs effectiveness 100 0 effectiveness 100 O 200 The correlation coefficient between effectiveness and unit pressure diff is closest to 0 98031 0 41428 0 69954 0 98048 0 41483 O 0 01014 The regression line slope between effectiveness and unit pressure diff is closest to 0 04202 O 1 95677 01 68226 O 5 5391 The regression line y intercept is closest to 601 23937 99 73725 4 9937

A Pr A is closest to 07 10 08 10 10 19 08 17 06 12 4 16 06 13 07 15 Pr B is closest to 012 13 6 16 07 19 02 12 07 10 13 15 07 17 02 10 Pr A U B is closest to 011 17 09 10 14 19 013 13 09 16 07 10 013 15 08 12 Pr A I B is closest to 07 13 05 12 B Q

A Pr A is closest to 010 18 05 6 5 14 08 14 012 18 09 18 04 11 03 13 Pr B is closest to 07 14 03 11 011 18 08 18 08 13 Pr A U B is closest to 16 18 017 18 08 14 07 11 010 13 07 14 06 6 013 18 Pr A B is closest to 05 7 00 3 06 11 03 9 04 8 01 8 02 3 07 7 Events A and B are B C

Question z Consider the following distribution 1510 02719 02266 906 302 0 1510 02719 0755 pressure n 3021 302 02266 2 The number of observations between 0 96168 and 2 43131 is closest to 4 6 The number of observations between 1 61135 and 2 43131 is closest to Close to 2266 observations are between 0 961682 and 2 43131 0 961682 and 1 611352 0021093 and 1611352

onsider the following distribution effectiveness n 1125 60 50 40 30 20 10 0 The number of observations between 15 06762 and 5 61609 is closest to 0112 01012 844 338 562 562 281 844 I The number of observations between 9 6731 and 5 61609 is closest to 0112 01012 Close to 844 observations are between O 15 06762 and 5 616086 O 59 905513 and 5 616086 59 905513 and 15 06762 59 905513 and 9 673098 0 15 06762 and 9 673098

The least squares regression equation is y 787 1x 12 501 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 7332 Complete parts a through d noung ACCESS pooded Median Income 55000 a Predict the median income of a region in which 20 of adults 25 years and older have at least a bachelor s degree 38 15 20 25 30 35 40 45 50 55 60 Bachelor s 20000

When testing a new treatment what is the difference between statistical significance and practical significance Can a treatment have statistical significance but not practical significance Choose the correct answer below OA Statistical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use Practical significance is achieved when the result is very unlikely to occur by chance It is possible for a treatment to have statistical significance but not practical significance OB Statistical significance is achieved when the result is very unlikely to occur by chance Practical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use It is not possible for a treatment to have statistical significance but not practical significance OC Statistical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use Practical significance is achieved when the result is very unlikely to occur by chance It is not possible for a treatment to have statistical significance but not practical significance O D Statistical significance is achieved when the result is very unlikely to occur by chance Practical significance is related to whether common sense suggests that the treatment makes enough of a difference to justify its use It is possible for a treatment to have statistical significance but not practical significance

Find the range variance and standard deviation for the given sample data if possible If the measures of variation can be obtained for these values do the results make sense Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas Listed below are the phenotype codes where 1 smooth yellow 2 smooth green 3 wrinkled yellow and 4 wrinkled green 2 1 2 1 3 1 4 1 2 2 2 2 1 2 2 2 2 2 2 2 Can the range of the sample data be obtained for these values Choose the correct answer below and if necessary fill in the answer box within your choice OA The range of the sample data is Type an integer or a decimal Do not round OB The range of the sample data cannot be calculated Can the standard deviation of the sample data be obtained for these values Choose the correct answer below and if necessary fill in the answer box within your choice OA The standard deviation of the sample data is Round to one decimal place as needed OB The standard deviation of the sample data cannot be calculated adec an th de san lation ed and eir par users

Listed below are the measured radiation emissions in W kg corresponding to cell phones A B C D E F G H I J and K respectively The media often present reports about the dangers of cell phone radiation as a cause of cancer Cell phone radiation must be 1 6 W kg or less Find the a mean b median c midrange and d mode for the data Also complete part e 0 62 1 04 0 92 1 29 0 33 0 34 1 22 0 89 1 41 0 88 0 25 a Find the mean The mean is 835 Round to three decimal places as needed b Find the median AWA The median is Type an integer or a decimal c Find the midrange The midrange is Type an integer or a decimal d Find the mode Select the correct choice below and if necessary fill in the answer box within your choice

Determine whether the results below appear to have statistical significance and also determine whether the results have practical significance In a study of a weight loss program 7 subjects lost an average of 49 lbs It is found that there is about a 22 chance of getting such results with a diet that has no effect Does the weight loss program have statistical significance A No the program is not statistically significant because the results are unlikely to occur by chance B Yes the program is statistically significant because the results are unlikely to occur by chance C Yes the program is statistically significant because the results are likely to occur by chance D No the program is not statistically significant because the results are likely to occur by chance Does the weight loss program have practical significance A Yes the program is practically significant because the results are too unlikely to occur by chance B No the program is not practically significant because the results are likely to occur even if the weight loss program has no effect O C Yes the program is practically significant because the amount of lost weight is large enough to be considered practically significant OD No the program is not practically significant because the amount of weight lost is trivial 4

Calculate the pay for the following day of a weekly time card given a wage of 14 hr Name Week of Morning In Out In Out Monday 08 00 12 15 13 00 17 15 Afternoon pay Round your answer to the nearest hundredth Enter

Money Earned 8288 50 40 30 20 10 Hours Worked A 14 00 per hour B 10 00 per hour C 20 00 per hour D 18 00 per hour What hourly wage is displayed in the graph

In a recent poll 450 people were asked if they liked dogs and 25 said they did Find the margin of error of this poll at the 99 confidence level Give your answer to three decimals

Out of 100 people sampled 40 had kids Assuming the conditions are met construct a 99 confidence interval for the true population proportion of people with kids Give your answers as decimals to three places

If n 420 and p p hat 0 85 construct a 90 confidence interval Give your answers to three decimals 53 Herrago instructor Post to forum

Your employer provides an option to enroll in either a high deductible health insurance plan or a low deductible health insurance plan The monthly premium that each plan will cost is outlined in the following table High deductible plan Low deductible plan Individual 42 Individual and spouse 345 Individual and children 305 Individual and family 651 Individual 148 Individual and spouse 536 Individual and children 496 Individual and family 905 If an individual enrolls in the low deductible plan what will be the monthly premium monthly premium Enter

The mean describes an entire sample with a single number that represents the calculated by of the data This measure is all the data points and dividing by the total number of data points

f the mean height of bonsai trees is 42 cm and 95 of the trees are between 12cm and 72cm The standard deviation is

Compare the standard deviation of a data set when removing an outlier An outlier is an extreme value that is significantly less or more than the rest of the data During his 20 season NHL career Wayne Gretzky scored more points than anyone who played professional hockey He accomplished this feat while playing fewer games than the previous record holder Here are the number of games Gretzky played during each season 79 80 80 80 74 80 80 79 64 78 73 78 74 45 81 48 80 82 82 70 Calculate the standard deviation with all his games and without his two lowest seasons Compare the data Rounding to the nearest hundredth the difference between the standard deviation with and without the outliers is

If the average salary of a computer programmer is 71 800 with a standard deviation of 13 000 approximately the programmers make over 97 800 of

Students at Arrowhead High School took a Math test with a mean of 120 and a standard deviation of 25 Approximately of the students scored above 170

e mean always has a z score value

Susie is doing some research on dogs she creates a survey asking people about their dogs temperament and about their weight

Find the standard deviation of 10 16 18 20 22 28 Round to the nearest hundredth Answer

Match the story with the correct graph As the storm got worse the rain fell harder and harder Choose the graph below that best illustrates the story A Amount of rain me Q OB Amount of rain Amount of rain me Q OD Amount of rain me

With aging body fat increases and muscle mass declines The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years Use this information to complete parts a through c below a Find an estimate for the percent body fat in 45 year old men Type a whole number b At what age does the percent body fat in men reach a maximum years old Type a whole number What is the percent body fat for that age Type a whole number c At what age do men have 23 body fat Percent Body Fat 40 36 32 28 24 20 15 Percent Body Fat in Adults 25 S 45 Age Women Men 55 65 75 Q Q S

heights of males from a data set of body measurements vary from a low of 160 0 cm to a high of 192 3 cm Use the range rule of thumb to estimate the standard deviations and compare the result to the standard deviation of 8 50 cm calculated using the 161 heights What does the result suggest about the accuracy of estimates of s found using the range rule of thumb Assume the estimate is accurate if it is within 1 2 cm Use the range rule of thumb to estimate the standard deviation s S cm Type an integer or decimal rounded to two decimal places as needed 0 of 1 Save

Listed below are amounts of strontium 90 in millibecquerels or mBq in a simple random sample of baby teeth obtained from residents in a region born after 1979 Use the given data to construct a boxplot and identify the 5 number summary 125 145 126 146 130 146 133 149 The 5 number summary is and all in mBq Use ascending order Type integers or decimals Do not round 134 150 COCE 136 153 136 154 138 154 140 158 141 D 163

Use z scores to compare the given values Based on sample data newborn males have weights with a mean of 3258 6 g and a standard deviation of 585 5 g Newborn females have weights with a mean of 3034 3 and a standard deviation of 586 1 g Who has the weight that is more extreme relative to the group from which they came a male who weighs 1700 g or a female who wei 1700 g CIILO Since the z score for the male is z and the z score for the female is z the Round to two decimal places has the weight that is more extreme

In designing a work desk it is found that males have sitting knee heights with a mean of 22 3 in and a standard deviation of 1 6 in based on data from the Department of Transportation Use the range rule of thumb to identity a the values that are significantly low b the values that are significantly high and c the values that are neither significantly low nor significantly high a What heights are significantly low Select the correct answer below and fill in the answer box es to complete your choice Type integers or decimals Do not round OA Heights that are greater than OB Heights that are greater than OC Heights that are less than in in and less than in

According to a random sample taken at 12 A M body temperatures of healthy adults have a bell shaped distribution with a mean of 98 11 F and a standard deviation 0 65 F Using Chebyshev s theorem what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the mean At least of healthy adults have body temperatures within 3 standard deviations of 98 11 F Round to the nearest percent as needed

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20 grams with a standard deviation of 0 19 grams For parts a through c enter your responses as a decimal with 4 decimal places a What is the probability that a randomly chosen mouse has a mass of less than 19 88 grams b What is the probability that a randomly chosen mouse has a mass of more than 20 24 grams c What proportion of mice have a mass between 19 88 and 20 15 grams d 25 of all mice have a mass of less than 19 86

0 1 pt100 Details The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5 4 days an standard deviation of 1 8 days Use OnlineStatbook or GeoGebra to find the following probabilities Write your answers in percent form Round your percentages to two decimal places a What is the probability of spending less than 8 days in recovery b What is the probability of spending more than 5 days in recovery c What is the probability of spending between 5 days and 8

0 1 pt 100 Details The amount of time to complete a physical activity in a PE class is approximately normally distributed with a mean of 39 8 seconds and a standard deviation of 6 4 seconds a What is the probability that a randomly chosen student completes the activity in less than 31 7 seconds b What is the probability that a randomly chosen student completes the activity in more than 45 6 seconds c What proportion of students take between 35 6 and 44 4 seconds to complete the activity d 95 of all students finish the activity in less than seconds

The average resting heart rate of a population is 89 beats per minute with a standard deviation of 13 bpm Find the z scores that correspond to each of the following heart rates Round your answers to the nearest hundredth if necessary 0 1 pt 100 Details a 102 bpm Z b 66 bpm Z

The accompanying data represent the weights in grams of a random sample of 48 M M candies Complete parts a through f Click the icon to view the weights of the M M plain candies gram s Round to three decimal places as needed b On the basis of the accompanying histogram comment on the appropriateness of using the Empirical Rule to make any general tatements about the weights of M Ms OA The histogram is not approximately bell shaped so the Empirical Rule can be used OB The histogram is approximately bell shaped so the Empirical Rule cannot be used OC The histogram is approximately bell shaped so the Empirical Rule can be used OD The histogram is not approximately bell shaped so the Frequency Weight of Plain M Ms 30 0 0 7 Weight g

arissa has just completed her second semester in college She earned a grade of hour discrete math course a grade of C in her 1 hour psychology course a grade mour physics course and a grade of A in her 2 hour creative writing course Assum uals 4 points B equals 3 points C equals 2 points D equals 1 point and F is worth termine Clarissa s grade point average for the semester arissa s grade point average is Cound to two decimal places as needed

Which histogram depicts a higher standard deviation Q Frequency 10 8 6 4 2 0 40 44 48 52 56 60 a Choose the correct answer below OA Histogram a depicts the higher standard deviation because the distribution has more dispersion OC Histogram a depicts the higher standard deviation because the bars are higher than the average bar in h Frequency 686420 10 30 40 50 60 b OB Histogram b depicts the hi standard deviation since it shaped D Histogram b depicts the hig standard deviation becaus

test have a bell shaped distribution with a mean of 100 and a standard Use the empirical rule to determine the following hat percentage of people has an IQ score between 76 and 124 hat percentage of people has an IQ score less than 64 or greater than 136 mat percentage of people has an IQ score greater than 112 Type an integer or a decimal Type an integer or a decimal Type an integer or a decimal

ving data represent the flight time in minutes of a random sample of six flig s Nevada to Newark New Jersey on United Airlines 260 266 257 260 267 the range and sample standard deviation of flight time of flight time is minutes minutes ble standard deviation of flight time is Integer or decimal rounded to one decimal place as needed

emphasizing that a product is made in your country are you more likely to buy it less likel buy it or neither more nor less likely to buy it The results of the survey are presented in he side by side graph Complete parts a through d below Likelihood to Buy When Made in Home Country Relative Frequency 0 8 0 6 00 642 0 4 0 24 0 63 0 32 0 05 18 34 yrs 0 53 0 41 0 06 35 44 yrs 05 0 44 0 06 45 54 yrs The proportion of 18 to 34 year old respondents is The proportion of 35 to 44 year old respondents is 0 36 0 55 0 09 55 yrs Q Q More Less I Neithe a What proportion of 18 to 34 year old respondents are more likely to buy when made in their country What proportion of 35 to 44 year old respondents are more likely to buy whe made in their country

od restaurant 18 8 31 17 present the number of grams of fat in breakfast meals offere a Construct a stem and leaf plot and b describe the shape of t 18 27 26 10 11 41 13 39 5 18 7 26 6 25 5 31 12 22 Construct the stem and leaf plot below Legend 5 1 represents 51 grams of fat