Statistics Questions

The cumulative relative frequency for the last class must always be 1 Why Choose the correct answer below A The last class must always have at least one value in it OB All the observations are less than or equal to the last class OC All the observations are less than the last class

An experiment was conducted in which two fair dice were thrown 100 times The sum of the pips showing on the dice was then recorded The frequency histogram to the right gives the results Use the histogram to complete parts a through f a What was the most frequent outcome of the experiment b What was the least frequent c How many times did we observe a 6 d How many more 5 s were observed than 3 s Frequency 20 10 2 Sum of Two Dice st 6 8 Value of dice 10 12

Is the statement below true or false There is not one particular frequency distribution that is correct but there are frequency distributions that are less desirable than others Choose the correct answer below O A The statement is true Any correctly constructed frequency distribution is valid However some choices for the categories or classes give more information about the shape of the distribution OB The statement is false There is only one correct frequency distribution for any given data set O C The statement is false All correctly constructed frequency distributions for a given data set are valid and give the same information OD The statement is true Any correctly constructed frequency distribution is valid However some are less desirable because they take up more space

The safety manager at Bumbler Enterprises provides the graph shown on the right to the plant manager and claims that the rate of worker injuries has been reduced by 50 over a 12 year period Does the graph support his claim Explain Choose the correct answer below Proportion 044 0 34 Proportion of Workers Injured 0 24 0 144 1992 Year 2004 E Q N OA The graph does not support his claim The vertical scale is different for each bar OB The graph does not support his claim The vertical tick marks are too far apart to determine the exact value fo the proportions OC The graph does not support his claim The vertical scale does not start at 0 which distorts the percent of change OD The graph supports his claim The height of the bar for 2004 is less than or equal to 50 of the height of the bar for 1992

Determine the original set of data 10 5 7 7 8 11 0 5 6 8 899 12 2 4 4 6 899 13 1 2 2 5 7 14 04 Legend 512 represents 5 2 Choose the correct answer below OA 10 5778 11 0568899 12 2446899 13 12257 14 04 OB 105 107 107 108 110 115 116 118 118 119 119 122 124 124 126 128 129 129 131 132 13 137 140 144 O C 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 OD 10 5 10 7 10 7 10 8 11 0 11 5 11 6 11 8 11 8 11 9 11 9 12 2 12 4 12 4 12 6 12 8 12 9 12 9 1 13 2 13 2 13 5 13 7 14 0 14 4

The accompanying relative frequency ogive represents the composite score on a standardized test for a high scho graduating class Complete parts a through d below Click the icon to view the ogive a What is the class width Type a whole number b Approximately 5 of students had a composite score below what level Type a whole number c What percentage of students had a composite score less than 24 Type a whole number d Five percent of students had a composite score above what level Type a whole number

An airline offers discounted flights from Atlanta to five American cities Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets Complete parts a through f Response Las Vegas Orlando New York Chicago San Diego Frequency 1177 1147 1022 561 321 Round to the decimal places as c Construct a frequency bar graph Choose the correct answer below O A OB O C Frequency Frequency Frequency 1600 1200 800 400 0 1600 1200 800 400 0 1600 1200 800 400 0 1 LONCS LONCS LONCS

For the distribution shown which letter represents the median A B C This is a reading assessment question Be certain of your answer because you only get one attempt on this questic The letter represents the median

1 To study about the correlation between height and shoe size you need to collect a sample of nine 9 people using a Systematic Sampling method a What is the population of people Where and how are you going to collect your sample Does your sample accurately represent your population Why or why not b Collect the sample and record the data Use a single unit for height Do not use a mixed unit like feet and inches Height Shoe Size Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 2 CLO 1 Construct a confidence interval to estimate the mean height and the mean shoe size you must complete the following questions by first choosing a Confidence Level You may choose from the familiar 90 95 or 99 level of confidence Denote this by choosing a a Find the sample mean and sample standard deviation of the height Denote them as x and sx respectively b Find the sample mean and sample standard deviation of the shoe sizes Denote them as y and sy respectively c Construct and interpret a confidence interval to estimate the mean height of the population You can use StatCrunch Microsoft Excel or any other statistical tool for the confidence interval and then substitute your appropriate numbers d Construct and interpret a confidence interval to estimate the mean shoe size of the population You can use StatCrunch Microsoft Excel or any other statistical tool for the confidence interval and then substitute your appropriate numbers

Use Python Jupyter notebook and the Tips dataset Output the first 5 rows of the Dataframe Then create a pivot table showing the average tip amount spent each day for each gender Your pivot table output should look like this sex day Male Female 2 090223 2 575625

Use the tips dataset Create a Dataframe with an additional column called Tip Percentage that calculates the Tip as a Percentage of the Total bill For example if the Total Bill is 10 and the Tip is 1 the Tip Percent must be 10 Sort the expanded tips data frame so the output shows the smallest Tip Percentage first Your output should look like this

Which of the following describes the middle number in an ordered list A Median B Standard Deviation C Mean D Variance E Mode

When might the median be most useful A When there are negative values in the data set B When the data set has frequently reoccurring values D When the data set has extreme outliers The median is never useful

Consider the following data set 2 5 5 6 7 8 8 8 13 What is the mean A 5 B 8 00 C 7

Why might central tendency be helpful for interpreting data A It can describe and summarize the averages and patterns in data B It can determine correlation C It can tell us the impact of an intervention D It can help us make claims about the population from a sample

Which of the following describes the square root of the variance and describes the average distance from the mean A Mode B Variance Median D Standard deviation Mean

Which of the following describes the numerical center and average of a data set B Standard Deviation Mode Med an Mean E Variance

A sample of 20 registered voters was surveyed in which the respondents were asked Do you think Chang Johnson Ohm or Smith is most qualified to be a senator The results of the survey are shown in the table Ohm Johnson Johnson Johnson Smith Chang Chang Chang Johnson Chang Ohm Johnson Complete parts a and b to the right Chang Johnson Ohm Johnson Johnson Johnson Chang Ohm 0 a Determine the mode candidate O Chang O Johnson OSmith O Ohm

The following data represent the pulse rates beats per minute of nine students enrolled in a statistics course Treat the nine students as a population Complete parts a to c Student Perpectual Bempah Megan Brooks Jeff Honeycutt Clarice Jefferson Crystal Kurtenbach Janette Lantka Kovin McCarthy Pulse O 71 80 90 86 86 85 71 a Determine the population mean pulse The population mean pulse is approximately beats per minute Type an integer or decimal rounded to the nearest tenth as needed

A histogram of a set of data indicates that the distribution of the data is skewed right Which measure of central tendency will likely be larger the mean or the median Why Choose the correct answer below E O A The median will likely be larger because the extreme values in the left tail tend to pull the median in the opposite direction of the tail OB The mean will likely be larger because the extreme values in the right tail tend to pull the mean in the direction of the tail OC The median will likely be larger because the extreme values in the right tail tend to pull the median in the direction of the tail OD The mean will likely be larger because the extreme values in the left tail tend to pull the mean in the opposite direction of the tail

Sample 19 15 2 9 10 Select the correct choice below and fill in the answer box to complete your choice O A O B sample mean as indicated X

For a large sporting event the broadcasters sold 60 ad slots for a total revenue of 145 million What was the mean price per ad slot The mean price per ad slot was million Round to one decimal place as needed

Determine if the statement is true or false When an observation that is much larger than the rest of the data is added to a data set the value of the median will increase substantially This is a reading assessment question Be certain of your answer because you only get one attempt on this question Choose the correct answer below O True False

4 IQ scores of college professors have a standard deviation less than 15 which is the standard deviation for the general population Define H and H

1 Claim A coin favors heads when tossed You did 20 tosses of a fair well balanced coin and found 11 heads a Define H and H 0 a b Use the rare event rule to determine if the claim is valid

8 A random sample of 64 observations produced the following summary statistics 0 323 and s 034 a Test the null hypothesis that u 0 36 against the alternative hypothesis that 0 36 using a 10 b Test the null hypothesis that 0 36 against the alter native hypothesis that u 0 36 using a 10

7 A sample of 106 body temperatures has a mean of 98 20 F Assume that o is known to be 0 62 F Consider a hypothesis test that uses a 0 05 significance level to test the claim that the mean body temperature of the population is less than 98 6 F a Define H and H and a 0 b What is the value of the test statistic c What are the critical values d What is the P value e What is the conclusion about the null hypothesis reject fail to reject

3 The mean weight of women who won Miss America titles is equal to 121 lb Define H and H a

Label the number line around 12 to 13 counting by 0 25 Choose the correct labeling of the number line around 12 to 13 counting by 0 25 below OA O B 13 O c D 12 12 75 13 12 12 25 12 5 12 5 12 5 12 5 12 25 12 13 12 75

Evaluate o x N given 37 87 N 9 and the x values in the table x 37 2 38 6 36 7 36 3 37 38 1 39 6 39 1 38 2

1 5 2 2 5 2 0 3 1 2 1 9 2 Simplify 5 a State the answer in square root form and b approximate the answer to two decimal places a o Simplify your answer Use integers or decimals for any numbers in the expression Type an exact answer u radicals as needed Rationalize all denominators

Plot the point 3 2 on the xy plane at the right Plot 3 2 6 54 4 34 24 5 4 3 2 1 7 24 34 4 5

Rationalize the denominator If possible simplify the rationalized expression by dividing the numerator and denominator by the greatest common factor 10

K 6409 The number 6409 rounded to three significant digits is

Perform the operation and simplify 5 5 7 8 4 5 5 7 8

81 81 207 Tyne an integer a simplified

Choose the correct answer below OA There could be two three or four significant digits B There could be three or four significant digits OC There are three significant digits

K Perform the indicated operation 7 12 5 18

3 3 20 12 12 21 Type an integer or a simplified fr

5 3 5 8 5 5 5 12 5 10 5 17 1 8 12 5 3 5 8 5 5 5 12 5 10 5 17 1 8 12 Simpl

The following table gives the average per kilowatt hour prices of electricity in a certain country for the years 2008 to 2015 Complete parts a and b below Click the icon to view the kilowatt hour prices This is a reading assessment question Be certain of your answer because you only get one attempt on this question a Construct a misleading graph indicating that the price per kilowatt hour has more than tripled since 2008 Choose the correct graph below O A Price per kwh for Electricity O C Price cents Price cents 10 0 9 0 8 0 7 0 6 0 10 04 9 0 8 0 7 0 6 0 5 0 08 09 10 11 12 13 14 15 Price per kwh for Electricity 08 09 10 11 12 13 14 15 Q G Q OB O D Price cents Price cents 18 04 16 01 14 0 12 04 10 0 8 0 6 01 10 0 9 5 9 0 8 5 8 0 7 5 7 0 Price per kwh for Electricity 08 09 10 11 12 13 14 15 Price per kwh for Electricity 08 09 10 11 12 13 14 15 N

The following graph shows the median earnings for females from 2005 to 2009 in constant 2009 dollars Complete parts a and b below Click the icon to view the graph of female earnings a How is the bar graph misleading What does the graph seem to convey OA The horizontal axis starts at 2005 instead of 2000 This means all of the data from 2000 through 2004 are included in the 2005 bar so the 2005 bar is larger than it should be OB The vertical axis starts at 34 500 instead of 0 This tends to indicate that the median earnings for females changed at a faster rate than it actually did OC The vertical axis starts at 34 500 instead of 0 This makes where the bars should start unclear The vertical scaling is incorrect All the bars look larger than they should O D The horizontal axis ends at 2009 instead of this year This means all of the data between 2009 and this year are included in the 2009 bar so the 2009 bar is larger than it should be

e table below gives the number of elementary school Idren in 16 school districts in a particular region Construct a cumulative frequency distribution Construct a cumulative relative frequency distribution Draw a frequency polygon Draw a relative frequency ogive Number of Elementary School Students in 16 School Districts 1718 2400 4537 1260 3639 3110 2500 4800 3679 1050 3565 1478 4589 3640 3137 4400 E distribution Cumulative Relative Frequency 1000 1999 0 250 2000 2999 0 375 3000 3999 0 750 4000 4999 1 000 Round to three decimal places as needed c Which of these is the frequency polygon Students in a District OA B im im 0 Students 6000 Students 6000 O C O D I m Im 6000 6000

The graph to the right represents the favorite colors of 28 children a How is the graph misleading OA The graph is biased OB It looks like children like the color green the most OC It looks like purple is by far the least popular color OD The graph is not misleading Green Blue Red Purple Yellow 2 3 5

A newspaper article claimed that the afternoon hours were the worst in terms of robberies and provided the graph to the right in support of this claim Explain how this graph is misleading Percent of Robberies 25 20 15 10 Hourly Crime Distribution Robbery 6a 9a 9a 12p 12p 6p 6p 9p 9p 12a 12a 3a 3a 6a Choose the correct answer below O A The vertical axis stops at 25 It should go all the way up to 100 to accurately show percentage data OB Not all of the time intervals are the same size Redistributing the time interval so they are all the same size ma lead to a different shape OC The vertical axis has no units This can mislead readers into thinking that the percentages are actually counts O D All of the bars are the same color so they tend to blend visually with each other This makes the graph hard to read

In a random sample of 21 people the mean commute time to work was 32 4 minutes and the standard deviation was 7 2 minutes Assume the population is normally distributed and use a t distribution to construct a 95 confidence interval for the population mean What is the margin of error of u Interpret the results The confidence interval for the population mean is H Round to one decimal place as needed

The data to the right represent the top speed in kilometers per hour of all the players except goaltenders in a certain soccer league Construct a a relative frequency distribution b a frequency histogram and c a relative frequency histogram What percentage of players had a top speed between 14 and 17 9 km h What percentage of players had a top speed less than 13 9 km h OA 20 20 0 30 33 9 0 2975 Round to four decimal places as needed b Choose the correct frequency histogram below O C Frequency Frequency 400 300 200 100 07 10 400 300 200 100 07 10 5 6445 14 www 14 18 22 26 30 34 Speed km hr Sttttt 18 22 26 30 34 Speed km hr Q Q O B D Frequency Frequency 400 300 200 100 0 10 14 400 300 200 100 0 Speed km hr Number of Players 4 7 17 66 324 177 10 10 13 9 14 17 9 18 21 9 22 25 9 26 29 9 30 33 9 2111111 18 22 26 30 34 Speed km hr 14 18 22 26 3 30 34 Q O

The blood platelet counts of a group of women have a bell shaped distribution with a mean of 247 2 and a standard deviation of 63 4 All units are 1000 cells uL Using the empirical rule find each approximate percentage below a What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean or between 57 0 and 437 4 b What is the approximate percentage of women with platelet counts between 183 8 and 310 6 of women in this group have platelet counts within 3 standard deviations of the mean or between a Approximately 57 0 and 437 4 Type an integer or a decimal Do not round b Approximately of women in this group have platelet counts between 183 8 and 310 6 Type an integer or a decimal Do not round

A student eamed grades of B C A B and D Those courses had these corresponding numbers of credit hours 5 4 3 3 and 1 The grading system assigns quality points to letter grades as follows A 4 B 3 C 2 D 1 F 0 Compute the grade point average GPA If the dean s list requires a GPA of 3 00 or greater did this student make the dean s list The student s GPA is Type an integer or decimal rounded to two decimal places as needed make the dean s list because their GPA is This student 3 00

district were sampled and asked to disclose the number of children under the age of five living in the household The results of the survey are presented in the table Complete parts a through c below Number of Relative Children under 5 Frequency 0 32 0 26 0 26 0 1 4 0 06 Type integers or decimals Do not round b What percentage of households has two children under the age of 5 0 1 2 3 26 Type an integer or a decimal Do not round c What percentage of households has one or two children under the age of 5 Type an integer or a decimal Do not round under 5 0 1 2 3 4 Households 16 13 13 5 3