Concept explainers
U.S. News & World Report publishes comprehensive information on America’s best colleges (America’s Best Colleges, 2009 ed.). Among other things, they provide a listing of their 133 best national universities. You would like to take a sample of these universities for a follow-up study on their students. Begin at the bottom of the third column of random digits in Table 7.1. Ignoring the first two digits in each five-number group and using the three-digit random numbers beginning with 959 read up the column to identify the number (from 1 to 133) of the first seven universities to be included in a simple random sample. Continue by starting at the bottom of the fourth and fifth columns and reading up if necessary.
Identify the numbers of the first seven universities to be included in a simple random sample.
Answer to Problem 42SE
The random numbers correspond to first seven universities are 122, 99, 25, 55, 115, 102, and 61.
Explanation of Solution
Calculation:
A list of 133 best national universities are given.
Assign the numbers 1 to 133 for list of 133 best national universities. A simple random sample is formed by selecting 7 universities using the random number table.
Procedure to get 7 random digits is given below:
- From the bottom of the 3rd column of table 7.1, ignoring the first two digits in each five-numbers, read up to the column. Ignore the numbers greater than 133.
- The first number is 122.
- Continue reading up the 3rd column to get the second number 99.
- Similarly, read up the 4th and 5th columns to get remaining numbers.
Therefore, the random numbers that correspond to the seven universities are 122, 99, 25, 55, 115, 102, and 61.
Want to see more full solutions like this?
Chapter 7 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
- For context, the images attached below are a question from a June, 2024 past paper in statistical modelingarrow_forwardFor context, the images attached below (question and related graph) are from a February 2024 past paper in statistical modelingarrow_forwardFor context, the images attached below are from a February 2024 past paper in statistical modelingarrow_forward
- For context, the image provided below is a question from a September, 2024 past paper in statistical modelingarrow_forwardFor context, the image below is from a January 2024 past paper in statistical modelingarrow_forwardFor context, the image provided below is a question from a September, 2024 past paper in statistical modelingarrow_forward
- Section 2.2 Subsets 71 Exercise Set 2.2 Practice Exercises In Exercises 1-18, write or in each blank so that the resulting statement is true. 1. {1, 2, 5} {1, 2, 3, 4, 5, 6, 7} 2. {2, 3, 7} {1, 2, 3, 4, 5, 6, 7} 3. {-3, 0, 3} {-4,-3,-1, 1, 3, 4} 4. {-4, 0, 4} 5. {Monday, Friday} {-3, -1, 1, 3} {Saturday, Sunday, Monday, Tuesday, Wednesday} 6. {Mercury, Venus, Earth} {Venus, Earth, Mars, Jupiter} 7. {x/x is a cat} {xx is a black cat} {x|x is a pure-bred dog} ibrary mbers, ause the entire sual 8. {xx is a dog} 9. (c, o, n, v, e, r, s, a, t, i, o, n} {v, o, i, c, e, s, r, a, n, t, o, n} 10. [r, e, v, o, l, u, t, i, o, n} {t, o, l, o, v, e, r, u, i, n} 33. A = {x|x E N and 5 < x < 12} B = {x|x E N and 2 ≤ x ≤ 11} A_ B 34. A = {x|x = N and 3 < x < 10} B = A. {x|x = N and 2 ≤ x ≤ 8} B 35. Ø {7, 8, 9,..., 100} 36. Ø _{101, 102, 103, . . ., 200} 37. [7, 8, 9,...} 38. [101, 102, 103, ...} 39. Ø 40. { } { } e In Exercises 41-54, determine whether each statement is true or false. If…arrow_forwardA = 5.8271 ± 0.1497 = B 1.77872 ± 0.01133 C=0.57729 ± 0.00908 1. Find the relative uncertainty of A, B, and C 2. Find A-3 3. Find 7B 4. Find A + B 5. Find A B-B - 6. Find A * B 7. Find C/B 8. Find 3/A 9. Find A 0.3B - 10. Find C/T 11. Find 1/√A 12. Find AB²arrow_forwardWhy charts,graphs,table??? difference between regression and correlation analysis.arrow_forward
- You’re scrolling through Instagram and you notice that a lot of people are posting selfies. This piques yourcuriosity and you want to estimate the percentage of photos on Instagram that are selfies.(a) (5 points) Is there a “ground truth” for the percentage of selfies on Instagram? Why or why not?(b) (5 points) Is it possible to estimate the ground truth percentage of selfies on Instagram?Irrespective of your answer to the previous question, you decide to pull up n = 250 randomly chosenphotos from your friends’ Instagram accounts and find that 32% of these photos are selfies.(c) (15 points) Determine which of the following is an observation, a variable, a sample statistic (valuecalculated based on the observed sample), or a population parameter.• A photo on Instagram.• Whether or not a photo is a selfie.• Percentage of all photos on Instagram that are selfies.• 32%.(d) (5 points) Based on the sample you collected, do you think 32% is a reliable ballpark estimate for theground truth…arrow_forwardCan you explain this statement below in layman's terms? Secondary Analysis with Generalized Linear Mixed Model with clustering for Hospital Center and ICUvs Ward EnrolmentIn a secondary adjusted analysis we used generalized linear mixed models with random effects forcenter (a stratification variable in the primary analyses). In this analysis, the relative risk for the primaryoutcome of 90-day mortality for 7 versus 14 days of antibiotics was 0.90 (95% Confidence Interval [CI]0.78, 1.05).arrow_forwardIn a crossover trial comparing a new drug to a standard, π denotes the probabilitythat the new one is judged better. It is desired to estimate π and test H0 : π = 0.5against H1 : π = 0.5. In 20 independent observations, the new drug is better eachtime.(a) Find and plot the likelihood function. Give the ML estimate of π (Hint: youmay use the plot function in R)arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt