MATH 110 P0RTAGE LEARNING FINAL EXAM

Final Exam- Requires Respondus LockDown Browser  Due No due date  Points 100  Questions 10  Time Limit 120 Minutes  Requires Respondus LockDown Browser This quiz is currently locked. Attempt History Attempt Time Score LATEST Attempt 1 117 minutes 95 out of 100 Score for this quiz: 95 out of 100 Submitted Aug 4 at 5:20pm This attempt took 117 minutes. Question 1 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) The following pie chart shows the percentages of total items sold in a month in a certain fast food restaurant. MATH 110 P0RTAGE LEARNING FINAL EXAM A total of 4700 fast food items were sold during the month. a.) How many were fish? b.) How many were french fries? Your Answer: For this problem: a. For Fish there were: 4700 ( .28)=1316, hovewer for Franch Fries they were: 4700 (.40)=1880 a.) Fish : 4700(.28) = 1316 b.) French Fries: 4700(.40) = 1880 Question 2 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Consider the following data: 51 56 73 48 55 Find the 40th percentile of this data. Your Answer: For this problem: n= 20, since there are 20 numbers. The numbers in order are: Since we are looking for 40th percentile I must calculate: Finally, 40 th percentile is the 8th abservation, where the 8th abservation is number 46. There are a total of twenty numbers, so n= 20. In order to find the percentiles, we must put the numbers in ascending order: For the 40th percentile: Therefore, the 40th percentile index for this data set is the 8th observation. In the list above, the 8th observation is 46. Question 3 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) In a tri-state conference, 40% attendees are from California, 10% from Oregon, and 50% from Washington. As it turns out 8 % of the attendees from California, 11% of the attendees from Oregon, and 13% of the attendees from Washington came to the conference by train. If an attendee is selected at random and found to have arrived by train, what is the probability that the person is from California? Your Answer: For this problem: P(TrainICA)=.08 P(TrainIOR)=.11 P(Train)IWA)=.13 Wheras: P(CA)=.40; P(OR)=.10 and P(WA)=.50. The question is What is the probability that the person is from CA( California)? P(Train│C)=.08.. P(Train│O)=.11.. P(Train│W)=.13.. P(C)=.40,P(O)=.10,P(W)=.50. We want to find P(C│Train), so use: Question 4 5 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) Find each of the following probabilities: a. Find P(Z ≤ .17). b. Find P(Z ≥ -.34) . c. Find P(-1.14 ≤ Z ≤ 0.55). Your Answer: For this problem: While using a normal table for all of the problem mentined: a. The answer is: 0.5675 b. The answer is: c. The answer is: a. P(Z ≤ .17)=.56749. b. P(Z ≥ -.34)=1- .36693= .63307. c. P(-1.14 ≤ Z ≤ 0.55)= .70884- .12714=.5817 . As noted in earlier exams, you should use the values as they are given in the charts and tables provided. Question 5 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) Suppose that you are attempting to estimate the annual income of 1200 families. In order to use the infinite standard deviation formula, what sample size, n, should you use? Your Answer: For this problem: I must have : Therefore the smaple size, less/eaqual than 60 In order to use infinite standard deviation formula, we should have: n≤0.05(1200) n≤60 So, the sample size should be less than 60. Question 6 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) Standard Normal Table (Links to an external site.) T Table (Links to an external site.) A shipment of 350 new blood pressure monitors have arrived. Tests are done on 60 of the new monitors and it is found that 8 of the 60 give incorrect blood pressure readings. Find the 80% confidence interval for the proportion of all the monitors that give incorrect readings. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? A. B. C. D. E. 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1. The answer is: E 2. I must calculate samples that are defective: , meaning P=.1333, while estimatin: p=.1333; n=60 (monitors tested);z=1.28, based on 80% confidence and N=350 3. As asked to state the final asnwer to the problem is: While calculating the problem using formula (E) the answer is: .1333 .0512, therefore the defective proportion is between (.0821 and .1845) We have a finite population, so we will use Case 2: E. The proportion of the sample that are defective is 8/60 = .1333 so we set P=.1333. As we mentioned previously, we estimate p by P. So, p=.1333. A total of 60 monitors were tested, so n=60. Based on a confidence limit of 80 %, we find in table 6.1 that z=1.28. The total number of monitors is 350, so set N=350. Now, we can substitute all of these values into our equation: .1333± .0512 So the proportion of the total that are defective is between .0821 and .1845. Question 7 10 / 10 pts You may find the following files helpful through