Statistics Questions

High school students bound for college take assessment tests One test measures the verbal and mathematical abilities of prospective college students Student scores are reported on a scale that ranges from a low of 300 to a high of 700 In one high school graduating class the scores are as provided in the table provided Use the technology of your choice to complete parts a and b Click the link to view the data table a Do the verbal scores for this class appear to be approximately normally distributed Explain your answer The verbal scores do not appear to be approximately normally distributed The frequency histogram of the verbal scores does not have roughly the shape of the normal curve b Do the math scores for this class appear to be approximately normally distributed Explain your answer The math scores appear to be approximately normally distributed The the shape of the normal curve scores of the math

A variable is normally distributed with mean 14 and standard deviation 2 a Determine the quartiles of the variable b Obtain and interpret the 80th percentile c Find the value that 65 of all possible values of the variable exceed d Find the two values that divide the area under the corresponding normal curve into a middle area of 0 95 and two outside areas of 0 025 Interpret the answer Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table Q Q Round to two decimal places as needed a b The 80th percentile is Round to two decimal places as needed Choose the correct answer below SPEC Q3 A The 80th percentile is the number that is 80 of the largest data value B The 80th percentile is the number that divides the bottom 80 of the data from the top 20 of the dat C The 80th percentile is the number that divides the bottom 20 of the data from the top 80 of the dat D The 80th percentile is the number that occurs in the data 80 of the time

robability experiment is conducted in which the sample space of the experiment is 12 13 14 15 16 17 18 19 20 21 22 23 Let event E 13 14 15 16 17 18 and event F 17 18 19 20 List the comes in E and F Are E and F mutually exclusive the outcomes in E and F Select the correct choice below and if necessary fill in the answer box to complete your pice A B Use a comma to separate answers as needed

Find the probability P E if P E 0 29 The probability P E is Simplify your answer

A data set includes data from student evaluations of courses The summary statistics are n 97 x 4 16 s 0 52 Use a 0 10 significance level to test the claim that the population of student course evaluations has a mean equal to 4 25 Assume that a simple random sample has been selected Identify the null and alternative hypotheses test statistic P value and state the final conclusion that addresses the original claim OA Ho 4 25 H 1 4 25 OC Ho 4 25 H p 4 25 Determine the test statistic 1 70 Round to two decimal places as needed Determine the P value 0 092 Round to three decimal places as needed State the final conclusion that addresses the original claim B Ho p 4 25 H p 4 25 OD H H 4 25 H p 4 25 evidence to conclude that the mean of the population of student course evaluations is equal to 4 25 Y correct

List all the permutations of five objects x y z s and t taken two at a time without repetition What is 5P2 List all the permutations of five objects x y z s and t taken two at a time without repetition Choose the correct answe below OA x y z s t OB xx xy xz xs xt yy yz ys yt zz zs zt ss st tt OC xy xz xs xt yz ys yt zs zt st D xy xz xs xt yx yz ys yt zx zy zs zt sx sy sz st tx ty tz ts What is 5P Simplify your answer

A certain four cylinder combination lock has 40 numbers on it To open it you turn to a number on the first cylinder ther to a second number on the second cylinder and then to a third number on the third cylinder and so on until a four number lock combination has been effected Repetitions are allowed and any of the 40 numbers can be used at each step to form the combination a How many different lock combinations are there b What is the probability of guessing a lock combination on the first try a The number of different four number lock combinations is Type an integer or fraction Simplify your answer

A woman has nine skirts and two blouses Assuming that they all match how many different skirt and blouse combinations can she wear The woman can wear Type a whole number different skirt and blouse combinations

fy the H e integ tify the und to t Test Null hypothesis Alternative hypothesis T Value P Value 1 63 0 056 Heft 15 H 15 recent year Usin X given claim by using the displa

List all the combinations of three objects x y and z taken two at a time What is 3C List all the combinations of three objects x y and z taken two at a time Choose the correct answer below OA xy xz yz OB xx xy xz yy yz zz OC x y z D xy xz yx yz zx zy

Use a 0 01 significance level of all such times is less than 15 minutes the accompanying Minitab display is obtained Test the given claim by using the display provided from Minim of taxi cab rides in New York City yellow cabs during a Friday morning of the same day in a recent year Using 34 of the times to tem Click the icon to view the Minitab display Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round ore 90 76 9 08 of 10 points Points 0 91 of 1 Sa

Find the value of the combination 4C3 4C3

Find the value of the permutation 5P1 P Type a whole number

A data set includes times in minutes of taxi cab rides in New York City yellow cabs during a Friday morning of the same day in a recent year Using 39 of the times to test the claim that the mean of all such times is less than 15 minutes the accompanying Minitab display is obtained Test the given claim by using the display provided from Minitab Use a 0 05 significance level iClick the icon to view the Minitab display Type integers or decimals Do not round Identify the test statistic 1 66 Round to two decimal places as needed Identify the P value GOLDS 0 053 Round to three decimal places as needed State the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim sufficient evidence at the 0 05 significance level to the null hypothesis There New York City yellow cabs during the Friday morning is less than 15 minutes Ythe claim that the mean time of all taxi cab rides in

from usa A data set includes weights in grams of 33 Reese s Peanut Butter Cup Miniatures The accompanying Statis claim that the sample is from a population with a mean equal to 8 953 g Test the given claim by using the display provided from Statdisk Use a 0 05 significance level i Click the icon to view the Statdisk display Identify the null and alternative hypotheses Ho H T

Students estimated the length of one minute without reference to a watch or clock and the times seconds are listed below Assume that a simple random samp has been selected Use a 0 05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds Does it appear that students are reasonably good at estimating one minute 70 66 82 47 39 66 66 68 43 96 60 H P 60 Type integers or decimals Do not round Identify the test statistic 7 Round to two decimal places as needed 21 90 61 67 Perform the test assuming that the requirements are met Identify the null and alternative hypotheses Hoi 64 D

ne teg the d to t Minitab Display Test Null hypothesis Alternative hypothesis T Value P Value 0 053 1 66 Ho 15 H 15

A popular theory is that presidential candidates have an advantage if they are taller than their main opponents Listed are heights in centimeters of randomly selected presidents along with the heights of their main opponents Complete parts a and b below Height cm of President 179 187 167 182 198 171 Height cm of Main Opponent 168 177 181 177 179 169 a Use the sample data with a 0 05 significance level to test the claim that for the population of heights for presidents and their main opponents the differences have a mean greater than 0 cm In this example is the mean value of the differences d for the population of all pairs of data where each individual difference d is defined as the president s height minus their main opponent s height What are the null and alternative hypotheses for the hypothesis test Ho Pd H Hd cm Type integers or decimals Do not round Identify the test statistic cm t Round to two decimal places as needed Identify the P value P value Round to three decimal places as needed What is the conclusion based on the hypothesis test Since the P value is the significance level the null hypothesis There sufficient evidence to

Twenty one different video games showing drug use were observed The duration times of drug use in seconds were recorded When using this sample for a t test of the claim that the population mean is greater than 81 sec what does df denote and what is its value What does df denote A The number of degrees of freedom OB The sample size OC The sample standard deviation OD The test statistic The value of df is Type an integer or a decimal Do not round GELEE

A local teacher wants to see if teaching writing in different ways impacts student learning She has two classes of similar characteristics In one class she will use Teaching Strategy A and in the other class she will use Teaching Strategy B She ran her analysis in Microsoft Excel and received the following output table If the P value is less than 0 05 the null hypothesis may be rejected Based on the data table what decision should the teacher make about the hypothesis A B Mean Varianc Observations Pooled Variance Hypothesized Mean Difference df t Stat P Test one tail t Critical one tail P Text two tail t Critical two tail She should reject the null hypothesis She should fail to reject the null hypothesis She should accept the null hypothesis She does not have enough information to decide Teaching Strategy A Teaching Strategy B 49 18181818 52 27272727 666 8181818 677 3636364 11 672 0909091 0 20 0 279610558 0 391323778 1 724718243 0 782647557 2 085963447 11

Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals Listed below are shoe print lengths foot lengths and heights of males Construct a scatterplot find the value of the linear correlation coefficient r and find the P va of r Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables Based on these results does it appear that police can use a shoe print length to estimate the height of a male Use a significance level of a 0 05 Shoe Print cm Foot Length cm Height cm Construct a scatterplot Choose the correct graph below OA OB Height cm 200 160 25 30 8 30 8 31 2 31 6 25 3 24 6 27 4 170 2 183 7 180 4 25 9 175 2 35 Shoe Print cm Height cm 200 Shoe Print cm 26 7 O 25 3 171 6 OU OG Height cm 25 Shoa Print cm 35 Height cm D 200 160 25 Shoe Print cm 35

A researcher ran an analysis to understand if corporate culture was related to business revenue He sampled local small business representative of all small businesses in the nation He measured Q1 revenue of the businesses Then he deployed a training for corporate culture The next year he measured Q1 revenue again He ran an analysis in Microsoft Excel t Test Paired Two Sample for Means From the data output he failed to reject the null hypothesis What conclusion can the researcher determine A The patterns he saw in his small sample cannot be inferred to the population B The patterns he saw in his small sample can be inferred to the population

In independent sample tests what is the best way to ensure equivalence between samples A Convenience B Random assignment

A local coach wants to see if training in light rooms or dark rooms impacts athlete performance With the single team the coach tries training in different conditions and takes measurements With measurements in hand the coach is ready to analyze in Microsoft Excel Which test should be selected from the menu A Descriptive Statistics B t Test Paired Two Sample for Means

If you have a study design that requires a single sample exposed to different levels of the independent variable what sort of test might you consider A Independent samples test B Matched samples test

Which of the following hypotheses indicates expected increases based on an independent variable A Directional hypothesis B Non directional hypothesis

If you have a study design that requires two different samples what sort of test might you consider A Independent samples test B Matched samples test

What is a potential challenge of a matched samples study design A Potential test fatigue of subjects B Equivalence is controlled Less people are required for the study

Which of the following ensures a sample is representative of its population A The sample is convenient B D The sample is unique The sample has properties that are matched to those in the population The sample is the same size as the population

Which of the following is an example of a sample A Average revenue of a selection of large businesses in the Phoenix area B All large businesses in the country C Average revenue of all large businesses in the country D A selection of large businesses in the Phoenix area

Which of the following refers to the variable that is being manipulated during an experiment A Independent variable B Constant C Dependent variable Descriptive variable

Which of the following is an example of a parameter A A selection of large businesses in the Phoenix area B Average revenue of a selection of large businesses in the Phoenix area C Average revenue of all large businesses in the country D All large businesses in the country

Which of the following is the name for the statistical hypothesis that describes an outcome of some change A Null hypothesis B Type I error C Type II error D Alternative hypothesis

Which of the following is a valid outcome of an inferential test A Rejecting the null hypothesis B Accepting the null hypothesis C Failing the null hypothesis

Which of the following is an example of a statistic A All large businesses in the country B A selection of large businesses in the Phoenix area Average revenue of all large businesses in the country Average revenue of a selection of large businesses in the Phoenix area

The following table lists the GPAs of 10 randomly selected IRSC students 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 What is the range for this data set 0 What is the variance for this data set Round your answer to three decimal places if necessary 0 009 X 0 What is the standard deviation for this data set Round your answer to three decimal places if necessary 0 095 X Thus if all observations in a data set are equal the range variance and stadard deviation will all equal 0

Calculate the 11th and 56th percentiles of the data set shown below 18 9 27 17 13 15 Pu 1 x 16 P56 16 5 x o 1 3 24 20 This means that approximately 110 of the data lie at or below 11 x when the data are ranked This means that approximately 560 of the data lie at or below 56 x 0 when the data are ranked

A poll of 1152 teens aged 13 to 17 showed that 53 of them have made new friends online Use a 0 10 significance level to test the claim that half of all teens have mac new friends online Use the P value method Use the normal distribution as an approximation to the binomial distribution Let p denote the population proportion of all teens aged 13 to 17 who have made new friends online Identify the null and alternative hypotheses Ho P 0 5 H P 0 5 Type integers or decimals Do not round Identify the test statistic 2 0 Round to two decimal places as needed

Find the variance of the sample data set 10 02 10 92 16 73 15 97 16 36 11 62 14 66 9 83 15 86 18 66 Round your answer to the nearest thousandths 6 Answer Previous Answer 10 910

nearest hundredths Fill in the correct answer Check Answer Q Search Slide 25 of 28 Copyright 2023 by Nancy Davis 12 06 A 6 29 202

3 A simple random sample of size 150 was selected from a large population and a 95 confidence interval for the population proportion was constructed Determine whether the confidence interval is valid if the sample proportion is 0 08 O Yes O No Continue Reset answer

5 Sixty individuals are randomly selected from a large population Find the right endpoint of the 95 confidence interval for the population proportion if the sample proportion is 32 Round your answer to the nearest hundredths Continue Reset answer

Data were collected for 392 fish from Fort Pierce Inlet The length of the fish in mm is summarized in the table below Lengths mm 120 129 130 139 140 149 150 159 160 169 170 179 180 189 Frequency 91 34 88 14 42 23 100 What is the class boundary between the second and third classes Class boundary What is the lower limit of the fifth class Lower Class Limit What is the midpoint of the sixth class Midpoint What is the upper limit of the fourth class Upper Class Limit

6 Suppose a large population has an unknown population proportion p How many individuals should be randomly sampled from this population so that the sample proportion is within 0 06 of p with 95 confidence Assume there is no prior information about regarding the population proportion p Answer Continue Reset answer

The following data set contains the Test 1 scores of all students in a statistics class 50 58 59 60 61 61 61 62 64 66 70 72 73 73 75 76 77 80 81 82 87 87 88 88 89 95 95 96 98 99 The data in the table above are Select an answer Complete the frequency distribution for the data Score Frequency 50 59 60 69 70 79 80 89 90 99 Complete the cumulative frequency distribution for the data Score Cumulative Frequency 50 59 50 69 50 79 50 89 50 99 Complete the relative frequency distribution for the data Round solutions to two decimal places if necessary Score Relative Frequency 50 59 60 69 70 79 80 89

Use the data below to complete the following calculations 33 43 40 70 69 zy zy X 12 40 y 62 57 80 62 12 70 3 58 11

A data set of monthly expenditures rounded to the nearest dollar incurred at coffee shops by a sample of 550 households has a minimum value of 13 and a maximum value of 126 Suppose we want to group these data into six classes of equal widths Assuming we take the lower limit of the first class as 1 and the upper limit of the sixth class as 126 determine the class limits boundaries and midpoints for a grouped quantitative data table Hint To determine the class width divide upper limit of the sixth class 126 by the number of classes 6 Class width Class Limits to to to to to to Lower Boundary Upper Boundary Class Midpoint 0 5 300 176 F

results are listed below Let F Fort Pierce P Port St Lucie V Vero Beach S Sebastian and O Okeechobee FPPO FFPY Port St Lucie Vero Beach 0 V S 0 P V O 0 S F Sebastian Okeechobee VF VFVFV The data in the table above ar Complete the frequency distrit Class Frequency Fort Pierce Port St Lucie V V V Vero Beach FPSYPS V Complete the relative frequency and percentage distribution for the data Round relative frequencies to three decimal places if necessary Round percentages to one decimal place if necessary Class Relative Frequency Percentage Fort Pierce Select an answer Time Series Quantitative and Discrete Qualitative Quantitative and Continuous Cross Sectional de de

Data were collected for 455 birds from Indian River County The wingspan of the birds in mm is summarized in the table below Wingspan mm 100 109 110 119 120 129 130 139 140 149 150 159 160 169 Frequency 82 86 23 61 49 95 59 What is the class boundary between the third and fourth classes Class boundary Lower Class Limit MBUN What is the lower limit of the third class Midpoint What is the upper limit of the fourth class Upper Class Limit What is the midpoint of the second class

Use the data below to complete the following calculations 77 79 22 74 15 49 18 35