he FREQ Procedure Frequency Table of gender by career Percent gender career Row Pct Instructor Assistant Prof Associate Prof Full Prof Total Col Pct Female 12 15 18 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.46 36.36 37.50 37.50 24.14 Male 21 25 30 22 98 14.00 16.67 20.00 14.67 65.33 21.43 25.51 30.61 22.45 63.64 62.50 62.50 75.86 Total 33 40 48 29 150 22.00 26.67 32.00 19.33 100.00 Statistics for Table of gender by career Statistic DF Value Prob Chi-Square 3 1.7733 0.6208 Likelihood Ratio Chi-Square 3 1.8561 0.6028 Mantel-Haenszel Chi-Square 1 0.7649 0.3818 Phi Coefficient 0.1087 Contingency Coefficient 0.1081 Cramer's V 0.1087

he FREQ Procedure Frequency Table of gender by career Percent gender career Row Pct Instructor Assistant Prof Associate Prof Full Prof Total Col Pct Female 12 15 18 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.46 36.36 37.50 37.50 24.14 Male 21 25 30 22 98 14.00 16.67 20.00 14.67 65.33 21.43 25.51 30.61 22.45 63.64 62.50 62.50 75.86 Total 33 40 48 29 150 22.00 26.67 32.00 19.33 100.00 Statistics for Table of gender by career Statistic DF Value Prob Chi-Square 3 1.7733 0.6208 Likelihood Ratio Chi-Square 3 1.8561 0.6028 Mantel-Haenszel Chi-Square 1 0.7649 0.3818 Phi Coefficient 0.1087 Contingency Coefficient 0.1081 Cramer's V 0.1087

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 2SE: What is a sample space?

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What is a sample space?
Federal law under Title 49 of the United States Code, Chapter 301, Motor Vehicle Safety Standard took effect on January 1, 1968 and required all vehicles (except buses) to be fitted with seat belts in all designated seating positions. While most states have laws requiring seat belt use today, some people still do not “buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If drivers are randomly stopped to check seat belt usage, answer the following questions and show your work. If they stop 30 cars during the first hour, find the mean and standard deviation of the number of drivers not expected to be wearing seatbelts? If they stop 120 cars during this safety check, what is the probability they find at least 12 drivers not wearing seatbelts?
The table below lists the annual salaries (in dollars) for a sample of 12 high school math teachers in Lousiana and 10 high school math teachers in Florida. Test the claim that high school math teachers in Louisiana get paid more than those in Florida using α=0.10. Louisiana 42300 45500 42100 39600 41500 43700 42500 43200 38400 36800 40100 42500 Florida 38600 35200 33700 41400 40600 39400 37500 36800 42100 36900 Let population 1 be Louisiana high school math teachers and population 2 be Florida high school math teachers. Round the test statistic to two decimal places, and round the p-value to four decimal places. The test statistic is . The p-value is . Should the null hypothesis be rejected?
The annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000. 1. Find the mean and the standard deviation for the sample of annual salaries. 2. What is the associated t - score for a 99% confidence level? 3. What is the margin of error for a confidence level of 99%? 4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.
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headcirc length gestage birthwt momage toxemia 27 41 29 1360 37 0 29 40 31 1490 34 0 30 38 33 1490 32 0 28 38 31 1180 37 0 29 38 30 1200 29 1 23 32 25 680 19 0 22 33 27 620 20 1 26 38 29 1060 25 0 27 30 28 1320 27 0 25 34 29 830 32 1 23 32 26 880 26 0 26 39 30 1130 29 0 27 38 29 1140 24 0 27 39 29 1350 26 0 26 37 29 950 25 0 27 39 29 1220 25 0 26 38 29 980 28 0 29 42 33 1480 30 0 28 39 33 1250 31 1 27 38 29 1250 37 0 25 36 28 920 31 0 25 38 30 1020 21 0 24 34 27 750 21 0 31 42 33 1480 30 0 28 37 32 1140 23 0 23 32 28 670 33 1 26 36 29 1150 18 0 25 34 28 1030 20 0 23 33 29 560 29 0 28 37 30 1260 26 0 35 36 31 900 23 0 24 31 30 620 33 0 33 39 31 1440 26 0 28 39 29 1350 38 0 26 37 27 1170 23 0 26 36 27 1170 23 0 26 37 27 1170 26 0 28 40 32 1420 27 0 29 43 31 1475 27 0 28 37 28 1200 19 0 27 36 30 970 30 1 27 38 29 1190 27 0 28 39 28 1350 31 0 28 41 31 1460 29 0 22 32 27 570 23 1 22 32 25 620 35 0…
A electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $241, laptops sold for $505, cell phones sold for $437, and DVR sold for $1,564. City 1 City 2 City 3 Tablets 4444 5757 3939 Laptop Computers 6464 7777 6868 Cell Phones 3131 5353 6969 Personal DVR 3030 7676 5454 City 1's total sales : City 2's total sales : City 3's total sales :
The Accountability Office is auditing Star International Airways, which flies numerous charters. The Titan contract specifies that the average flight may be no more than 15 minutes late. A sample of 20 flights reveals the results below: Flights and Their Delay Status Flight Number Status 217 On time 167 20 minutes late 133 17 minutes late 207 64 minutes late 219 On time 457 96 minutes late 371 30 minutes late 612 On time 319 6 minutes late 423 12 minutes late 684 11 minutes late 661 61 minutes late 511 On time 536 On time 493 17 minutes late 382 12 minutes late 115 6 minutes late 107 3 minutes late 19 26 minutes late 123 19 minutes late The newly hired junior analyst, Bob, is requested to write a memo interpreting this information. Bob finds that he needs a good grasp of statistical inference to write the memo. He researches statistical inference and…
The Easy Credit Company report the following table representing a breakdown of customers accounting to the amount they owe and whether a cash advance has been made. An auditor randomly selects one of the accounts. Accounts owned by Customers Cash Advance Yes No $0 – 199.99 245 2890 $200 – 399.99 380 1,700 $400 – 599.99 500 1,425 $600 – 799.99 415 940 $800 to 999.99 260 480 $1000 or more 290 475 Total Customers 2,090 7,910 Show your work! What is the probability that a customer received a cash advance? What is the probability that a customer owed less than $200 and received a cash advance? What is the probability that a customer owed less than $200 or received a cash advance? Given that the customer-owned $1000 or more, what is the probability that the customer received a cash advance? Are the events "receiving a cash advance" and "owning $1000 or more" independent? Explain why or why not.
At Conner Company, a custom manufacturer of printed circuit boards, the finished boards are subjected to a final inspection prior to shipment to its customers. As Conner’s quality assurance manager, you are responsible for making a representation to management on quality problems at the beginning of each month. Your assistant has analyzed the reject memos for all the circuit boards that were rejected during the past month. He has given you a summary statement listing the reference number of the circuit board and the reason for rejection from one of the following categories: A = Poor electrolyte coverage; B = Improper lamination; C = Low copper plating; D = Plating separation ; E = Improper etching For 50 circuit boards that had been rejected last month, the summary statement showed the following: C B C C D E C C B A D A C C C B C A C D C A C C B A C A C B C C A C A A C C D A C C C E C C A B A C Prepare a tally sheet (or checklist) of the different reasons for rejection. What is the…
At Conner Company, a custom manufacturer of printed circuit boards, the finished boards are subjected to a final inspection prior to shipment to its customers. As Conner’s quality assurance manager, you are responsible for making a representation to management on quality problems at the beginning of each month. Your assistant has analyzed the reject memos for all the circuit boards that were rejected during the past month. He has given you a summary statement listing the reference number of the circuit board and the reason for rejection from one of the following categories: A = Poor electrolyte coverage; B = Improper lamination; C = Low copper plating; D = Plating separation ; E = Improper etching For 50 circuit boards that had been rejected last month, the summary statement showed the following: C B C C D E C C B A D A C C C B C A C D C A C C B A C A C B C C A C A A C C D A C C C E C C A B A C Develop a Pareto chart to identify the more significant types of rejection, what would you…
At Conner Company, a custom manufacturer of printed circuit boards, the finished boards are subjected to a final inspection prior to shipment to its customers. As Conner’s quality assurance manager, you are responsible for making a representation to management on quality problems at the beginning of each month. Your assistant has analyzed the reject memos for all the circuit boards that were rejected during the past month. He has given you a summary statement listing the reference number of the circuit board and the reason for rejection from one of the following categories: A = Poor electrolyte coverage; B = Improper lamination; C = Low copper plating; D = Plating separation ; E = Improper etching For 50 circuit boards that had been rejected last month, the summary statement showed the following: C B C C D E C C B A D A C C C B C A C D C A C C B A C A C B C C A C A A C C D A C C C E C C A B A C Rearrange the different reasons for rejection according to the step in the Pareto Analysis.…