Statistics Questions and Answers

16 13 Send d Find the stan If necessary 0

Petroleum pollution in oceans s randomly chosen specimens of 62 43 67 51 55 40 Send data to calculator

For each variable determine wh a The time for a participa green letters on a compute b In a reaction time study time is between 400 and 6 c The number of damage

Adults who are being tested for dementia are animals listed in one minute by 8 adults 12 18 11 10 21 14 20 13 Send data to calculator

Can a normal approximation be used for a s Answer

b The distances between the cities are given below le cost The team travels by bus so lowest mileage should result in lowest cost nes with the Atlanta Boston and Home Atlanta Boston Columbia Home 533 795 789 Atlanta 533 1028 1137 Boston Columbia 795 1028 Draw a weighted graph that corresponds to this situation 243 789 1137 243 Devise a way that the team can visit all 3 cities and return home that has the lowest mileage Give the weight of the circuit What is the difference between an Euler Circuit and a Hamiltonian Circuit Use complete sentences in your

Section 3 1 20 Find the mean median and mode for the following data set 83 98 22 89 98 x 83 98 22 89 99 98 mean 489 6 mean 81 5 median 99 median 93 5 22 83 89 98 98 9 term 9 1 th 3th 4 0 2 4th 89 98 2 9

According to the National Institutes of Health 61 of adults experience some form of lactose intolerance Determine the probability that less than 66 of adults in a sample of 788 experience some form of lactose intolerance O 0 9203 O 0 002 O 0 998 0 7204

For a continuous random variable X the population mean and standard deviation are 98 and 15 respectively A sample of 54 observations is randomly selected The mean of the sampling distribution of a is 98 02 04 0 0 98 015

The time spent commuting from home to work for all employees at a very large company has a normal distribution with a mean of 154 minutes and a standard deviation of 10 minutes Determine the probability that the mean time spent commuting by a random sample of 77 employees is between 151 33 minutes and 157 43 minutes O0 5234 O 0 3202 0 0096 0 9891

For the standard normal distribution the area beween z 2 44 and z 1 88 is O 0 9699 0 9626 O 0 0021 0 0102

Suppose a population distribution has a meal of 75 5 and a a random sample of 150 observations from this population has a mean of 73 1 The sampling error of is 3 8 17 3 1 8 O 2 4

Determine the two values of z such that the middle 70 of the data lie between the two z values Oz 0 5 and 2 0 5 Oz 1 17 and z 1 17 Oz 1 04 and z 1 04 Oz 0 13 and z 0 13

The distribution of all SAT scores is normally distributed with a mean of 1174 and a standard deviation of 51 If a sample of 51 SAT scores is randomly chosen determine the probability that the sample average is less than 1181 0 8365 O 0 1635 O 0 8797 O 0 3958

For the standard normal distribution the area beween z 2 75 and z 0 is O 0 9573 00 497 O 0 5 0 0003

At a large university 11 of all students live on campus Suppose a random sample of 277 students selected from this university and the sample proportion is defined as the proportion of students in sample who live on campus Determine the mean of the sampling distribution of p 00 25 00 89 O 0 65 O 0 11

Let X be a normally distributed random variable Consider the sampling distribution of Find the z value for when 234 o 33 22 and n 47 O 1 45 O 0 21 O 0 21 O1 45

Determine the value of z such that the area to the left of z is 0 5714 Oz 0 58 Oz 0 53 Oz 0 61 0z 0 18

For the standard normal distribution the area beween z 0 and z 1 5 is O 0 9332 00 9996 O 0 9995 O 0 4332

A recent study found that 18 of all adult males did not visit their physicians offices last year Determine the probability that more than 10 of adult males in a sample of 297 did not visit their physicians offices last year 0 7733 O 0 9998 O 0 0002 00 2745

4 5 Use the definition of Taylor series to obtain the Taylor series for f x centred at 1 Find its radius of convergence

Please show all your work Find the solution of the exponential equation 15e 3 8 x Round to 4 decimal places as needed

The weights in pounds of 17 preschoo 29 43 32 49 20 35 50 41 4 Send data to calculator Find 25th and 90th percentiles for these If necessary consult a list of formulas a The 25th percentile P pou

In a particular hospital 6 newbo 108 128 127 91 113 10 Send data to calculator Assuming that these weights com

An intelligence test was recently administered to a group of 22 people Their respective time 24 28 32 32 33 34 36 37 38 38 38 39 39 41 41 42 42 43 44 44 44 44 Send data to calculator Frequency 104 8 6 4 2 0 20 4 25 30 Time for completion in minutes Answer the questions below 35 a For these data which measures of central tendency take more than one value Choose all that apply 40 Mean Median Mode 45

The ages in years of the 6 d 36 47 34 42 30 39 Send data to calculator Assuming that these ages con If necessary consult a list of

Bids were placed in a silent auction for a sword rep thousands of dollars placed by the 9 bidders were 14 20 24 26 24 14 14 24 17

The following list contains the average annual tot

The following is a list of 10 measurements 15 50 41 20 45 52 47 7 11 96 Send data to calculator Suppose that these 10 measurements are respectively labeled X X X10 Thus 15 is labeled x 50 is labeled X and so on Compute the followin 10 42x

1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 Nicolas Cage 2 2 2 M 1 1 2 3 17 1 4 Jonny De

What does a z score capture how far are you away from the mean how far are you from a data point x how far are you from the standard deviation Ohow many standard deviations are you away from the mean none of the above

What is the difference between a Frequency Distribution Chart vs an Ogive Chart There is no difference A Frequency Distribution chart also has the cumulative frequency A Frequency Distribution Chart also has the grouped entries in reverse order An Ogive is ordered from smallest to largest groups in frequency An Ogive only has the bar frequencies on the axis none of the above

Identify the kind of sample described A pollster obtains a list of all the residential addresses in a certain town and uses a computer random number generator to choose 150 of them The pollster visits each of the 150 households and interviews all the adults in each household about their television viewing habits

You are a researcher studying the lifespan of a certain species of bacteria A preliminary sample of 40 bacteria reveals a sample mean of 80 hours with a standard deviation of s 4 hours You would like t estimate the mean lifespan for this species of bacteria to within a margin of error of 0 4 hours at a 98 level of confidence What sample size should you gather to achieve a 0 4 hour margin of error Round your answer up to the nearest whole number n bacteria

In a sample of 270 adults 165 had children Construct a 95 confidence interval for the true population proportion of adults with children Give your answers as decimals to three places p

You measure 45 randomly selected textbooks weights and find they have a mean weight of 45 ounces Assume the population standard deviation is 4 1 ounces Based on this construct a 99 confidence interval for the true population mean textbook weight Give your answers as decimals to two places

If n 19 x bar 49 and s 14 construct a confidence interval at a 99 confidence level Assume the data came from a normally distributed population Give your answers to one decimal place 7 m F

Qualitative variables can be divided into two types and

Find the mean median and mode for the following data set 83 98 22 89 99 98

IQ RS Find the length of ST Round to the nearest tenth if necessary R P 35 38 T 27 S Q

for males 35 to 44 years of age has mean 128 The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is X 126 07 with sample standard deviation s 12 3 They are interested in whether this is evidence that the company s executives have a different mean blood pressure from the general population This problem calls for a confidence interval for the mean systolic blood pressure of male executives aged 35 to 44 at this company a different survey These people are crazy a hypothesis test for the mean systolic blood pressure of male executives 35 to 44 years of age nationwide a hypothesis test for the mean systolic blood pressure of male executives aged 35 to 44 at this company

Process Control with Variable Measurements Using X bar and R Charts Mean X bar Chart Upper control limit UCL A R Lower control limit LCL A R Range Chart Upper control limit UCLR DAR Lower control limit LCLR D R 1 Great Outdoors tracked parcel delivery time in days for four randomly selected orders during one week period Observations X2 Sample No Dayl Day2 Day3 Day4 Day5 Day6 Delivery Time X1 6543210 2 5 4 6 2 5 3 3 3 1 4 1 0 1 2 3 X bar mean chart 4 5 6 A2 D3 D4 factors are shown in Chapter 10 slides X3 Days 3 6 3 5 1 3 X4 3 7 8 9 10 11 2 2 Find 30 three sigma X bar and Range chart control limits Is process in control 3 4 3 X BAR Sample R range Mean Average Delivery time range Sample Range 2745AENTO Average Range Chart 0 1 2 3 4 5 6 7 8 9 10 11 Days

In an effort to cut costs and improve profits any US companies have been turning to outsourcing In fact according to Purchasing magazine 54 of companies surveyed outsourced some part of their manufacturing process in the past two to three years Suppose 555 of these companies are contacted a What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years Round the percent to two decimal places b What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years Round the percent to two decimal places c What is the probability percentage that 48 or less of these companies outsourced some part of their manufacturing process in the past two or three years Round the percent to two decimal places

Sidney took a 400 cash advance by using checks linked to her credit card account Th bank charges a 3 percent cash advance fee on the amount borrowed and offers no grace period on cash advances Sidney paid the balance in full when the bill arrived a What was the cash advance fee Cash advance fee b What was the interest for one month at an 6percent APR Interest LA Total amount 0 c What was the total amount she paid

Based on historical data at Oxnard college they believe that 39 of freshmen do not visit their advisors regularly For this year you would like to obtain a new sample to estimate the proportion of freshmen who do not visit their advisors regularly You would like to be 99 confident that your estimate is within 3 of the true population proportion How large of a sample size is required n 11

Note If GeoGebra doesn t show you the scatterplot copy your data close GeoGebra and reopen it and paste your data back in and try again If that doesn t work try another browser I m sorry it s glitchy sometimes Research was conducted on the number of miles people trained to run a 5K race and the time they took to run the race The researcher recorded the number of miles run during training total in a 1 month period and the time to complete the 5K race The results are below Use technology to make a scatterplot and answer the questions below Miles Trained in 1 Month 11 74 17 57 79 56 5K Race Time Minutes 39 5 14 32 4 21 2 29 5 27 8 a Give the correlation coefficient 4 decima places T b Give the equation of the regression line Round the values to 4 decimal places X minutes c Interpret the y intercept in the context of the data Explain it s meaning including the value units and whether it makes sense in this context d Interpret the slope in the context of the data Explain it s meaning including the value and units e Predict the time to run the 5K if someone trained 17 miles to 2 decimal places minutes f Give the residual for the person who trained 17 miles to 2 decimal places Residual minutes

A researcher claims that 45 of U S adults think the IRS is not aggressive enough in pursuing wealthy people who cheat on their taxes You believe the true percentage is more than 45 To test this you take a simple random sample of 300 U S adults and find that 147 of them say the IRS is not aggressive enough Test your claim with a significance level of 01 a Ho Select an answer HA Select an answer Select an answer Select an answer b The sample size is c The value for p to 4 decimal places is d Test Statistic to 4 decimal places e P value to 4 decimal places f Is the result significant Select an answer g Based on the above we choose to Select an answer h There Select an answer enough evidence to conclude

The lengths in kilometers of a random sample of 18 rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table below For the data shown above find the following Please don t round your answers a Find the 5 number summary using GeoGebra Lengths of Rivers in km 322 136 161 90 93 What units would go on each of your answers above c What is the lower fence for this data set 167 80 121 140 64 72 98 209 145 64 64 208 97 b Compute the IQR Put your answer in the first box and the correct units in the second box What is the upper fence for this data set

Out of 600 people sampled 144 had kids Assuming the conditions are met construct a 99 confidence interval for the true population proportion of people with kids a Give your confidence interval in decimal form Use 4 decimal places in your calculations and round your answers to three decimal places b Interpret the confidence interval in context

According to the article Are Babies Normal by Traci Clemons and Marcello Pagano published in The American Statistician Vol 53 No 4 pp 298 302 the birth weights of babies are normally distributed with a mean of 3314 grams and a standard deviation of 563 grams a What is the probability that a randomly selected baby weighs between 3100 grams and 3700 grams Round your answer to 4 decimal places b If we randomly select 12 babies and average their weights write about and check each of the conditions needed to use the Central Limit Theorem in context Conditions c What is the probability that the average weight of 12 randomly selected babies is between 3100 grams and 3700 grams Round your answer to 4 decimal places d Why did the probability increase O The probability increased since the sample size increased and the sample means are more concentrated near the mean of 3314 grams O The probability increased since the sample size increased and the distribution of sample means is more spread out