Statistics Questions and Answers

1 Here are scores on a math test from two different classes Class A 29 32 35 35 42 42 46 47 50 50 51 53 55 62 63 65 65 70 75 79 83 89 Class B 55 40 67 89 91 35 10 77 45 58 70 79 90 60 57 65 68 78 79 100 85 a The Class A data is already ordered Order the Class B data d For Class A draw the boxplot using the scale 40 e For Class B draw the boxplot using the scale 10 20 30 50 60 70 80 90 I 100

Here are scores on a math test from two different classes lass A 29 32 35 35 42 42 46 47 50 50 51 53 55 62 63 65 65 70 75 79 83 89 lass B 55 40 67 89 91 35 10 77 45 58 70 79 90 60 57 65 68 78 79 100 85 d For Class A draw the boxplot using the scale 10 20 30 40 50 60 e For Class B draw the boxplot using the scale 70 80 90 100

The approximate total Covid 19 deaths in Australia by age and sex are provided below from https www health gov au health alerts covid 19 case numbers and statistics cases and deaths by age and sex The row and column totals are underlined and the grand total is in the bottom right corner Age Total Covid Deaths in Australia by Age and Sex Female 60 60 79 80 Total Male 400 2400 4400 7200 300 1300 4100 5700 Are Covid 19 deaths by age and sex independent You may take your test size to be 0 05 O No the calculated test statistic is 97 5 and it exceeds the critical value of 5 99 O Yes the calculated test statistic is 180 and it exceeds the critical value of 5 99 O No the calculated test statistic is 180 and it exceeds the critical value of 5 99 Total 700 3700 8500 12900 O Yes the calculated test statistic is 180 and it exceeds the critical value of 12 59

2 Students in a psychology class were presented with a page containing colored rectangles The task was to name the colors as quickly as possible The times for the students in seconds were recorded 1 4 1 5 1 6 1 6 1 7 1 7 1 7 1 7 1 7 1 8 1 8 1 8 1 8 1 8 1 8 1 9 1 9 1 9 2 0 2 0 2 0 2 0 2 0 2 1 2 1 2 1 2 2 2 3 2 4 2 4 2 9 a Determine each value For the mean show steps and round to 2 decimal places Mean b Draw and clearly label a frequency histogram for the times Use 8 bins of width 0 2 seconds starting at 1 4 seconds 1 4 1 6 1 8 The 100 unuld 2 0 2 2 2 4 The mean would stay the same increase decrease The median would stay the same increase decrease The mode would stay the same increase decrease The range would stay the same increase decrease increase door0355 2 6 c Say the final time was entered incorrectly as 29 instead of the correct value that is listed above 2 9 How would that affect the different measures and graphs compared to the correct numbers Circle the correct answers 2 8 3 0

2 Students in a was to name the

Use the data set for these quest 16 22 14 25 18 25

Statistics are sometimes used to com words in a book by Terry and in anoth

Step 1 of 3 Determ Answer How to enter your an

Consider the following data Year Sales 6644 2000 Step 1 of 2 Find the two period moving ave data

Determine whether the stochastic matrix P is regular 0 0 0 2 0 5 0 6 0 0 5 0 4 0 8 P X regular not regular Find the steady state matrix X of the Markov chain with matrix of transition probabilities P

For the following type of data set would you be more interested in Answer The price for ho First select the correct measure of center and then select the justif The prices fo

The citizens of the fictional island nation of Fitland are very healthy and happy They eat a mostly vegan diet and commute to work on bikes Their culture emphasizes living in harmony with the sun so they maintain healthy circadian rhythms For example they always turn off their phones by 9pm and they only drink water after sunset You are a medical anthropologist at the University of Fitland who wants to understand the Fitland lifestyle So far you have found the following information Use the standard normal distribution table to answer the questions below Assume each of these variables is normally distributed The mean body mass index BMI for Fitlanders is 20 kg m2 with a standard deviation of 2 kg m2 The median daily screen time for Fitlanders including phones TVs and computer screens is 84 minutes with a standard deviation of 18 minutes About 68 of Fitland s citizens have commute times between 21 and 45 minutes Half of Fitland s citizens commute to work in 33 minutes or less What percentage of Fitlanders have a BMI of 25 kg m2 or less Report the answer to two decimal places What percentage of Fitlanders get 57 minutes of daily screen time or less Report the answer to two decimal places What would be the z score for a Fitlander who has to commute a full hour longer than the average commute

Consider the foll Step 1 of 3 De

Answer Revenue 1000s 43 40 37 34 31 28 Revenue of a Small Business 72 3 Month 5 The y scale is too large for the given data The y scale is too small for the given data The y scale is appropriate for the given data

the winners of a cycling tournament are approximately bell shaped The mean age is 28 8 years with a standard deviation of 3 7 years The winner in one recent year was 23 years old a Transform the age to a z score b Interpret the results c Determine whether the age is unusual a Transform the age to a z score 2 Type an integer or decimal rounded two decimal places as needed b Interpret the results An age of 23 is standard deviation s the mean Type an integer or decimal rounded to two decimal places as needed c Determine whether the age is unusual Choose the correct answer below OA Yes this value unusual A z score outside of the range from 2 to 2 is unusual OB No this value is not unusual A z score outside of the range from 2 to 2 is not unusual OC Yes this value is unusual A z score between 2 and 2 is unusual D No this value is not unusual A z score between 2 and 2 is not unusual

The ages in years of a random sample of shoppers at a gaming store are shown Determine the range mean variance and standard deviation of the sample data set 12 21 23 13 16 18 22 16 13 15 The range is Simplify your answer The mean is Simplify your answer Round to the nearest tenth as needed The variance is Simplify your answer Round to the nearest tenth as needed The standard deviation is Simplify your answer Round to the nearest tenth as needed

Central Tendency A radio station claims that the amount of advertising per hour of broadcast time has an average of 12 minutes and a standard deviation equal to 2 9 minutes You listen to the radio station for at a randomly selected time and carefully observe that the amount of advertising time is equal to 5 minutes Calculate the z score for this amount of advertising time

83 70 74 86 67 80 87 87 85 70 70 83 80 68 69 71 Frequency a Complete the grouped frequency distribution for the data Note that the class width is 6 8 7 6 5 4 3 2 OHN W a biology test last week Here are the test scores for each of the eighteen students Test scores Test scores 1 0 65 5 to 71 5 71 5 to 77 5 77 5 to 83 5 83 5 to 89 5 b Using the classes from part a draw the frequency polygon for the data Note that you can add or remove classes from the figure Label each class with its midpoint 81 82 Frequency

Tom s Electronics offers four models of cell phones A B C and D Yesterday they sold 20 cell phones a The models that were sold appear below Complete the frequency distribution for the data Model AD B D C CDA D B B C B C A DAD BA Phone plan Horizon Clearl Max Data City Fone b There are four major phone plans available for these cell phone models But not every plan is available for every model The table below shows the plans available for the cell phone models Question 3 of 12 Model B C and D A and D B and C A B and D How many cell phones sold at Tom s Electronics yesterday can use the City Fone plan phones Frequency 8 7 6 Model 5 4 3 SHNW A B C D 07 25 22 18 35 37 18 18 39 39 39 36 36 36 33 33 Draw the histogram for these data using an initial class boundary of 17 5 and a class width of 7 Note that you can add or remove classes from the figure Label each class with its endpoints Frequency 0 dfgd bed 0 0 ideia 0 amhaqab to smalt 5

Create a linear model for the data in the table Write a linear model for the data in the table y 10 21 COO

Given that the least squares regression line is y 2 5x 0 4 what is the best predicted value for y given x 2 2 OA 5 1 OB 5 0 OC 5 1 OD 5 0

Question I I IN For each of the variables described b variable Also indicate the level of m your responses are the most specific

The distribution of weights of United States pennies is approximately normal with a mean of 2 5 grams and a standard deviation of 0 03 grams a What is the probability that a randomly chosen penny weighs less than 2 4 grams please round to four decimal places b Describe the sampling distribution of the mean weight of 10 randomly chosen pennies Mean grams please round to one decimal place Standard Deviation grams please round to four decimal places c What is the probability that the mean weight of 10 pennies is less than 2 4 grams please round to four decimal places

Given that the least squares regression line is y 4 5x 7 8 what is the best predicted value for y given x 3 5 OA 7 95 B 7 95 C 23 55 D 23 55

A housing survey was conducted to determine the price of a typical home in Topanga CA The mean price of a house was roughly 1 3 million with a standard deviation of 300 000 There were no houses listed below 600 000 but a few houses above 3 million a Is the distribution of housing prices in Topanga symmetric right skewed or left skewed Hint Sketch the distribution O Oright skewed O left skewed O symmetric b Would you expect most houses in Topanga to cost more or less than 1 3 million O more O less OF c What is the probability that the mean of 60 randomly chosen houses in Topanga is more than 1 4 million x please round to four decimal places

A teacher returns an exam with possible scores ranging from 0 to 100 The students suspect that the majority of them performed poorly on the exam and request summary statistics The teacher provides the mean which was 72 as a summary statistic A total of 400 students took the exam The teacher after several requests provides a boxplot of the exam scores The students can get which of the following pieces of information from this plot the minimum and the maximum the IQR the median O All of the answer options are correct

A survey of 10 students was conducted to investigate the amount of time they spend on social media each day Students were given a timer and asked to record the number of minutes spent every time they accessed social media The students total times for one day are given below in minutes 105 117 145 45 57 63 79 84 92 99 The standard deviation for these data is 29 9 28 4 893 41

A sample of 40 employees from the local Honda plant was obtained and the length of time in months that each employee has worked at the plant was recorded A stemplot of these data follows In the stemplot 5 2 represents 52 months 5 2233457899 6 0002344456778889 7 3455667778899 8 98 The percentage of employees in the sample that has worked at the plant for less than five years is 15 OOO 10 25 approximately zero

The 18 faculty members in a college math department range in age from 32 to 68 A stemplot follows 3 4 5 6 24899 03569 347899 38 The median age of the faculty members is 47 5 years 39 years 45 years 49 years

Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and a standard deviation of 6 seconds Thus 99 7 of running times are approximately between None of the answer options is correct 62 and 124 seconds 75 and 111 seconds 45 and 141 seconds

0 5 0 1 0 25 2 0 For this density curve what percent of the observations lie between 1 50 and 1 75 50 12 5 0 25

J Cullumber Inc had sales of 2 380 000 for th expenses Question 5 of 21 Cost of goods sold Selling expenses Administrative expenses Variable 945 000 96 000 107 000 Prepare a CVP income statement for the qu CULLUMBER INC

An appropriate graphical way to display housing stall small paddock large paddock pasture or other housing for horses is given by a stemplot a histogram All of the answer options are correct a pie chart OO

6 5 A violin student records the number of hours she spends practicing during each of nine consecutive weeks 6 2 5 0 4 3 7 4 5 8 7 2 8 4 1 2 6 3 What is the mean number of hours spent practicing per week during this period 5 76 hours 6 15 hours 8 40 hours 6 20 hours 5 points A description of different houses for sale includes the square footage of the house whether or not the house has a finished basement and the monthly electric bill Which of the variables is categorical the monthly electric bill the square footage of the house whether or not the house has a finished basement O All of the answer options are correct O O 5 points Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 12 oz The proportion of infants with birth weights above 125 oz is O 0 233 0 141 0 159

14 Find the z score for your partner s average time 15 How do they compare

5 Number of Drinks Sold The scatterplot below shows the relationship between the outside temperature at noon in degrees Fahrenheit and the number of drinks sold in a park Temperature and Drinks Sold 500 400 300 200 100 70 75 80 Temperature F A 250 B 325 C 385 D 500 85 90 95 100 Based on the line of best fit for the scatterplot what number of drinks is expected to be sold in the park when the outside temperature at noon is 95 F

2 Define critical value and critical region What is the traditional critical value of z in two tailed test

Find the mean of the given probability distribution x P x 0 0 26 10 11 2 0 16 3 0 05 4 0 42 O 2 16 O 2 42 O 2 26 O 2 52

The second angle of a triangle is two times the first angle The third angle of the triangle is 56 degrees more than the first angle Find each angle of the triangle The first angle is The second angle is The third angle is degrees degrees degrees

Question 12 of 21 possible This question 1 point s possible en playing American roulette the croupier attendant spins a marble that lands in one of the 38 slo ntable The slots are numbered 1 to 36 with two additional slots labeled 0 and 00 that are painted g gle spin of the roulette wheel is made Find the probability of winning with the given bet example of a five number bet is betting that the marble will land in a slot numbered 30 31 32 33 e total number of outcomes is and the number of outcomes in the event is pe integers or simplified fractions probability of winning with the given five number bet is emplify your answer Su

Answer the following questions about this normal model 7 What is the interval of time for one standard deviation Class 8 Based on your data what percent of average times is within one standard deviation 9 Is that what you d expect Why 10 How many standard deviations from the mean would a time of 3 4 seconds be in class data 11 How many values are above the mean 12 How many values are below the mean 13 Find the z score for your average time

ng 2023 me dules labus nouncements signments scussions rades etTutor utoring The table below shows comparative relative frequencies of the a filtered water Relative Relati Frequency Freque Lead mg Nonfiltered Filter 4 6 7 9 10 12 13 15 16 18 19 21 0 0 0 04 0 02 0 1 0 16 0 0 0 0 0

Use the data set below to answer the following quest 8 2 10 4 20 45 2 12 7 13 9 3 What is the median value What is the first quartile Q1 What is the third quartile Q3 What is the IQR What is the lower fence for cultiers

Say the following is known about a particular data set Minimum value 2 0 Q1 3 9 Q2 4 3 03 4 9 Maximum value 9 0

Question 13 Use the data set below to answer the following questions 3 5 7 9 12 15 18 20 22 25 26 28 What is the median value What is the first quartile Q1 What is the third quartile Q3 What is the IQR Recall the 1 5 IQR criterion The formula Q1 1 5 IQR is often referred to as the l What is the lower fence for oultiers in this data set The formula Q3 1 5 IQR is often referred to as the upper fence for outliers What i oultiers in this data set Based on the 1 5 IQR criterion are there suspected outliers in this data set 03 28

Next question You can retry this question below A group of students were surveyed as to whether or not they had to complete chores a week and whether they had a curfew Chores No Chores Total Fraction a What is the probability a student has a curfew if they have chores Curfew No Curfew 13 12 25 13 18 Decimal rounded to 4 places Fraction b What is the probability a student has no curfew or has no chores Decimal rounded to 4 places Fraction 5 3 8 33 Total 18 15 c What is the probability a student has a curfew and chores Decimal rounded to 4 places d Are having chores and having a curfew independent

ath of 0 2 Some spots are already filled in 2 2 121 9 122 4 122 5 122 8 122 0 121 9 122 2 122 0 122 5 122 3 122 7 1 2 5 122 1 122 1 121 9 122 8 122 5 122 7 122 7 122 1 122 4 Bin 1 Bin 2 Bin 3 Bin 4 Bin 5 Submit Question Question 9 Lower Limit mean O shape center 121 9 122 7 Frequency Which characteristic of a data set measures the amount that the values vary 5 0 1

If a histogram were created for the following data T 4 cell count in males 5 9 10 14 15 19 20 24 25 29 Bin 1 Frequency 5 6 26 9 3

A quiz consists of 10 true or false questions To pass the quiz a student must answer at least eight questions correctly If the student guesses on each question what is the probability that the student will pass the quiz 0 055 0 8 0 3 0 08 O 0 20

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