Statistics Questions and Answers

I and Quiz Question 14 of 21 100 90 80 The graph below is an ogive of scores on a math test The vertical axis in an ogive is the cumulative relative frequenc can also be interpreted as a percentile Use the graph to approximate the percentile rank of an individual whose tes score is 80 Percentile Ranks of Math Test Scores

and Quiz 20 18 16 14 12 10 Determine whether the approximate shape of the distrib the histogram is symmetric uniform skewed left skew or none of these 42086 6 Question 5 of 21

4 According to the College Board the average tuition and fees at private 4 year colleges and universities increased from 8396 to 33480 for the 2016 2017 school year per full time equivalent student Calculate the relative change in private college cost over this time period and compare it to the overall rate of inflation as measured by the CPI

exam it is a negatively skewed unimodal distribution Use it to answer the questions that follow Frequency 1500 1250 1000 750 500 250 988 068 968 006 306 LOLA CLA Question 1 unimodal If a sample of 300 pressure readings would the distribution of that sample have symmetrical negatively skewed mean median positively skewed mean median Question 2 920 925 930 935 940 945 unimodal 096 955 096 996 970 975 086 985 066 995 1000 1005 1010 1015 1020 1025 1 pts were randomly drawn from this population what characteristics 1 pts If 100 samples each with 300 pressure readings were drawn from the population above how would the means of those samples be distributed

An um contains six red seven white and seven blue marbles Three marbles are selected at random and without replacemen What is the probability that one of each color is selected Round your answer to 4 decimal places if necessary

Out of 459 applicants for a job 209 have over 5 years of experience and 83 have over 5 years of experience and have a graduate degree Step 2 of 2 Consider that 184 of the applicants have graduate degrees What is the probability that a randomly chosen applicant has over 5 years of experience give that the applicant has a graduate degree Enter a fraction or round your answer to 4 decimal places if necessary

Express the indicated degree of likelihood as a probability value between 0 and 1 When using a computer to randomly generate the last digit of a phone number to be called for a survey there is 1 chance in 10 that the last digit is ze The probability is Type an integer or a decimal Do not round

mework Assignment 7 Correlation and gression updated tion list estion 1 uestion 2 Question 3 K Shown below is a set of data from a sam 3 5 7 6 10 X Y A Ay 1 2 a Construct a scatter plot Choose the 40 A Q 14 1

ork Assignment 7 Correlation and sion updated list 1 2 3 K The accompanying table contains the overall download Click the icon to view the download and upload sp a Construct a scatter plot with download speed on the A ad Speed 30 15 Q C

The 95 confidence interval for the correlation between commute distance in miles and commute time in minutes in Atlanta is 0 724 0 865 Is there evidence of a relationship between commute distance and commute time in the population of all Atlantans Yes No

nt Assignment Score Question 9 of 11 0 Stacked Osteopenia is a condition defined by less th between 2 5 and 1 Osteopenia is a grea because they tend to lose bone density mon Osteopenia is a range of suboptimal bone d term sounds like a disease and because the risk of fracture increases gradually with m

The following stem and leaf plot represents the ti

A new disease has been found that is detectable by a blood test The testing procedure can be made more efficient by combining samples of blood specimens If samples from 9 people are combined and the mixture tests positive then we know that at least one of the nine individuals is positive Find the probability of a positive result for 9 samples combined into one mixture if the probability of an individual sample testing positive is 0 037 Please clearly indicate your probability statement and the calculations you performed to reach the answer State your answer as a decimal rounded to 3 significant houras

The following stem and leaf plot represents the test s test Use the data provided to find the quartiles Stem 6 Test Scores 012

Thinking backwards Suppose you know the multiplier What is the percent change Express the answer percent form If you multiply a starting value by 1 81 to get an ending value what is the percent change If you multiply a starting value by 0 93 to get an ending value what is the percent change

Select the word or phrase that A An is calculated by divid

Given the following box plot choose the best description 4 00 46 45 50 53

Diameters of Inch 1 57 1 3 1 65 1 4 1 33 1 56 1 54 1 34 1 36 1 6 1 68 1 5 Answer How to enter your answer opens in new window

Given the following data find the percentile of a we

one group of diabetics getting the new treatment and the other the existing treatment points 5 each A clinical trial of a new treatment for diabetes is carried out with See the 2 way table below which classifies people with diabetes on 2 different treatments by the success or failure of that treatment New 1095 9005 Marginal 10100 In your calculations below round all percents to the nearest whole number a Convert the marginal distribution for Outcome to percents C Outcome Treatment Existing Success Failure 5050 5950 11000 Marginal 6145 14955 21100 b What does the marginal distribution for Outcome tell you about the prevalence of failures compared to successes Create the conditional distributions for Outcome conditioned on Treatment New Existing d Is Treatment associated with Outcome How do you know

Jared uses 3 minute 100 m radius point cou and he implements an occupancy model by minute intervals recording the presence or a detections during each 1 minute interval Jar occupied sites are going undetected because survey boundaries or not vocalizing during th to survey protocol would best address these

Given the following graph where the mean is marke Answer

An article in Business Week discussed the large sp

A frequency distribution for the response time for EMTS after a 9

frequency distribution for the response time for EMTS after a 911 ca R

1 If someone needed 25 000 to maintain a certain standard of living in 1986 how much would be needed to maintain the same standard of living in 2016 2 If a ski lift ticket cost 100 in 2015 what was it s price in 1985 dollars

A health care provider classifies its cu gathered data from a random sampl

PARAZI Current Attempt in Progress Blossom Corporation manufactures a single product below for the production of 3 000 units The utilities 300 and 200 respectively Production in Units Production Costs Direct materials 3 000 7 508

Baby weights Following are weights in pounds of 10 two month old baby girls It is reasonable to assume that the population is approximately normal 8 63 11 87 12 34 11 48 12 66 8 51 14 13 12 95 10 30 12 23 Send data to Excel a Construct a 95 confidence interval for the mean weight of two month old baby girls b According to the National Health Statistics Reports the mean weight of two month old baby boys is 11 2 pounds Based on the confidence interval is reasonable to believe that the mean weight of two month old baby girls may be the same as that of two month old baby boys Explain Part 0 2 Part 1 of 2 a A 95 confidence interval for the mean weight of two month old baby girls is Round the answers to at least three decimal places

Construct a box plot from the given data Scores on a Statistics Test 51 58 61 78 61 81 51 49 85 Answer Draw the box plot by selecting each of the five movable parts t

A high school has 40 players on the football team The su 156

3 Ocean fishing for billfish is very popular in the Cozumel region of Mexico In World Record Game Fishes published by the International Game Fish Association it was stated that in the Cozumel region about 44 of strikes while trolling result in a catch Suppose that on a given day a fleet of fishing boats got a total of 24 strikes a Find the mean and the standard deviation for the approximating normal distribution b Find the probability that the number of fish caught was i 12 or fewer ii 5 or more

4 4 points problem shows that Side Side Angle is not a valid congruence principle In this figure A and B are the centers of two circles Find a and 3 Prove that your answer is corre

The three most popular options on a certain type of new car are a built in GPS A a sunroof B and an automatic transmission C If 46 of all purchasers request A 58 request B 74 reque C 65 request A or B 80 request A or C 87 request B or C and 89 request A or B or C determine the probabilities of the following events Hint A or B is the event that at least one of th two options is requested try drawing a Venn diagram and labeling all regions a The next purchaser will request at least one of the three options 0 89 b The next purchaser will select none of the three options 0 11 c The next purchaser will request only an automatic transmission and not either of the other two options 0 05 x d The next purchaser will select exactly one of these three options

Examine the distribution for the variable Sale Price Which of the following statements accurately describes this variable Check all that apply Its distribution is positively skewed Its distribution is negatively skewed Its distribution is symmetrical Its level of measurement is ratio Its level of measurement is ordinal Its mean is greater than its median Its median is greater than its mean It is normally distributed It is the independent variable in an experiment It is the dependent variable in an experiment Descriptive Statistics Descriptive Statistics Valid Missing Median Mean Std Deviation Minimum Maximum 25th percentile 50th percentile 75th percentile Sale Price 98 0 281402 500 322016 653 133952 832 149303 000 740249 000 244781 500 281402 500 327670 500

Independent random samples from normal populations produced the results shown in the table to the right Assume that the population variances are equal Complete parts a through d below What is the test statistic t 2 60 Round to two decimal places as needed What is the observed significance level p value 018 Round to three decimal places as needed Interpret the results Choose the correct answer below OA Reject H There is not sufficient evidence to indicate that B Reject Ho There is sufficient evidence to indicate that OC Do not reject H There is sufficient evidence to indicate that Oo Do not reject H There is not sufficient evidence to indicate that u 1 c Find a 90 confidence interval for The confidence interval is Round to two decimal places as needed cany Sample 1 1 3 29 1 7 28 29 Sample 42 26 38 3 8

recent study at a university showed that the proportion of students who commute more than 15 miles to school is 15 Suppose we have good reason suspect that the proportion is greater than 15 and we carry out a hypothesis test State the null hypothesis H and the alternative hypothesis H at we would use for this test Ho D H H X O P S D

A binomial experiment consists of 400 trials with the probability of success for each trial 0 4 What is the probability of obtaining 174 or more successes This binomial experiment easily passes the rule of thumb test as you can check When computing the probability adjust the given interval by extending the range by 0 5 on each side Click the icon to view the area under the standard normal curve table The probability of obtaining 174 or more successes is Round to two decimal places as needed

A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day Let x equal the number of cheesecakes sold on a randomly selected day x 0 5 10 15 20 P x 0 19 0 37 0 36 0 06 What is the probability of selling 15 cheesecakes in a given day P x 15 What is the probability of selling at least 10 cheesecakes P x 10 What is the probability of selling 5 or 15 cheesecakes P x 5 or x 15 What is the probability of selling 25 cheesecakes P x 25 What is the probability of selling at most 10 cheesecakes P x 10 Give the expected number of cheesecakes sold on any given day using the discrete probability distribution

According to a recent study 22 of peanut M M s are brown 33 are yellow 3 are red 17 are blue 16 are orange and 9 are green Assume these proportions are correct and suppose you randomly select four peanut M M s from an extra large bag of the candies Calculate the following probablities Also calculate the mean and standard deviation of the distribution Round all solutions to four decimal places if necessary Compute the probability that exactly two of the four M M s are red P x 2 Compute the probability that two or three of the four M M s are red P x 2 or x 3 Compute the probability that at most two of the four M M s are red P x 2 Compute the probability that at least two of the four M M s are red P x 2 If you repeatedly select random samples of four peanut M M s on average how many do you expect to be red f red M M s With what standard deviation

The following table gives the frequencies of the nest size number of eggs of 101 Great Blue Heron nests recorded on a recent survey in Indian River County Use the data to construct a discrete probability distribution x 0 1 2 f 12 28 36 Construct the probability distribution of x where x is the number of eggs in a randomly selected Great Blue Heron nest in Indian River County Round solutions to three decimal places if necessary 0 2 3 4 x P x P x Construct a probability distribution graph for the nest size of Great Blue Herons in Indian River County 0 35 0 3 0 25 0 2 0 15 0 1 0 05 3 4 5 11 1 13 0 25 0 1 1 2 Nest Size 3 4 5 5

If an orange tree sapling is planted it has a 40 chance of growing into a healthy and productive tree If 18 randomly selected saplings are planted answer the following Use technology or the binomial probability table to calculate the following probabilities Round solutions to four decimal places if necessary a Which is the correct wording for the random variable the number of 18 randomly selected orange tree sapplings that grow into a healthy and productive tree x the number of randomly selected orange tree sapplings that grow into a healthy and productive tree the probability that a randomly selected orange tree sapling grows into a healthy and productive tree x a randomly selected orange tree sapling that grows into a healthy and productive tree x all orange tree sapplings that grow into a healthy and productive tree x a randomly selected orange tree sapling x grows into a healthy and productive tree b Pick the correct symbol 18 c Pick the correct symbol 0 4 d What is the probability that exactly 5 of them grow into a healthy and productive tree P x 5 e What is the probability that less than 5 of them grow into a healthy and productive tree P x 5 f What is the probability that more than 5 of them grow into a healthy and productive tree P x 5 g What is the probability that exactly 7 of them grow into a healthy and productive tree P x 7 h What is the probability that at least 7 of them grow into a healthy and productive tree P x 7 i What is the probability that at most 7 of them grow into a healthy and productive tree E

Indian River State Collge has stated in the 2019 2020 academic year 22 of its students were first generation college students Suppose you take a random sample of 5 IRSC students and ask if they are first generation college students or not counting the number of first generation students Use this experiment to answer the following questions Round solutions to four decimal places if necessary a Create a binomial probability distribution table for this experiment P x x H 0 1 2 3 4 5 WHAT b Calculate the mean of the binomial distribution c Calculate the standard deviation of the binomial distribution

Suppose you have an experiment where you toss a fair coin three times You then count the number of heads observed over those three tosses Use this experiment to address each of the following questions Round solutions to three decimal places if necessary a State the random variable Select an answer b Construct a probability distribution table for the number of heads obtained over three tosses Enter the x values from smallest to largest P x I c Determine the shape of the probability distribution of x The probability distribution of is Select an answer d Find the mean number of heads for this distribution fl The mean of a discrete probability distribution is also notated by Select an answer Which of the following is the correct interpretation of the mean Select an answer e Find the standard deviation for the number of heads for this distribution f Find the probability of obtaining one or more heads over three tosses of a coin P one or more heads

Let x be a random variable that possesses a binomial distribution with p 0 8 and n binomial formula or tables calculate the following probabilities Also calculate the mean and standard 11 Using the deviation of the distribution Round solutions to four decimal places if necessary P x 3 P x 6 P x 2 f b

Consider the discrete random variable X given in the table below Calculate the mean variance and standard deviation of X Also calculate the expected value of X Round solution to three decimal places if necessary l 0 x 9 P x 0 6 11 18 10 11 0 14 0 14 0 12 What is the expected value of X E X

If a seed is planted it has a 70 chance of growing into a healthy plant If 124 randomly selected seeds are planted answer the following a Which is the correct wording for the random variable Select an answer b Pick the correct symbol 124 c Pick the correct symbol 0 7 d What is the probability that exactly 82 of them grow into a healthy plant Round final answer to 4 decimal places 0 e What is the probability that less than 82 of them grow into a healthy plant Round final answer to 4 decimal places f What is the probability that more than 82 of them grow into a healthy plant Round final answer to 4 decimal places g What is the probability that exactly 85 of them grow into a healthy plant Round final answer to 4 decimal places h What is the probability that at least 85 of them grow into a healthy plant Round final answer to 4 decimal places i What is the probability that at most 85 of them grow into a healthy plant Round final answer to 4 decimal places

Question 7 12 1 32 Part 1 of 4 hd leaf plots compare the ages of 30 actors a y won an award arts a through d below

If f x x3 2 find the following a 9 Enter an exact number b f 1 c f 36 d f 0 25

2003 moonst 13 World War II Bombs In Exercise 1 Notation we noted that in analyzing hits by V 1 buzz bombs in World War II South London was partitioned into 576 regions each with an area of 0 25 km A total of 535 bombs hit the combined area of 576 regions a Find the probability that a randomly selected region had exactly 2 hits b Among the 576 regions find the expected number of regions with exactly 2 hits c How does the result from part b compare to this actual result There were 93 regions that had exactly 2 hits rore form of cancer occurs in 11 children in a