A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?
A) All 624 female employees in the company
B) A group with 1 member from each department
C) 400 randomly chosen employees from the list of all employees
D) All employees who have worked in the company
C) 400 randomly chosen employees from the list of all employees. This sample includes a diverse group of employees and helps minimize bias. It is also large enough to provide a representative sample of the company's population.
D) 100 lamps per floor chosen randomly. This sample is random as it includes lamps from every floor (thus avoiding a bias), and lamps are chosen randomly within each floor. It's also large enough to provide a representative sample size. A) may not be representative of the entire hotel as it only includes the first 10 floors. B) and C) are not random samples as they only include lamps from certain rooms, thus introducing a bias.
We can start by using a proportion to estimate the number of patrons who borrow novels:
3/80 = x/345
Solving for x, we get:
x = (3/80) * 345
x ≈ 12.94
Rounding to the nearest whole number, we get:
Approximately 13 patrons borrow novels when they visit the library.
To determine whose mean test score will increase the most, we need to find the mean of each student's previous 6 test scores, and then compare it to their perfect score of 100%.
A) Ara: (100 + 98 + 99 + 97 + 100 + 100)/6 = 99% --> Increase of 1%
B) Jose: (91 + 93 + 97 + 96 + 96 + 96)/6 = 95.5% --> Increase of 4.5%
C) Dana: (68 + 74 + 83 + 80 + 81 + 82)/6 = 78% --> Increase of 22%
D) Theo: (84 + 88 + 81 + 85 + 77 + 76)/6 = 82% --> Increase of 18%
Therefore, Dana's mean test score will increase the most by 22% from her previous average to a perfect score.
To find the range of the speeds of the fastest steel roller coasters on both continents, we need to find the difference between the highest and the lowest speeds.
For Europe:
The lowest speed is 74 mph.
The highest speed is 111 mph (corresponding to the stem "11" and leaf "1").
The range is 111 - 74 = 37 mph.
For North America:
The lowest speed is 85 mph (from Mexico).
The highest speed is 128 mph (from Canada).
The range is 128 - 85 = 43 mph.
Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 37 mph, and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.
I apologize, I made a mistake in my previous response. It is possible to have common data values between the two distributions if we consider the entire possible range of gas mileage values and not just the range shown in the dot plots.
From the given information and the dot plots, we can see that both distributions have values in common above 21. Therefore, the data value in common for both distributions with the lowest number is 21.
Similarly, both distributions have values in common below 25. Therefore, the data value in common for both distributions with the highest number is 24.
I apologize for any confusion caused by my previous response.
A hotel maintenance crew wants to estimate how many of the 12000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?
A) 400 lamps on the first 10 floors
B) All lamps from the rooms with a king sized bed
C) All lamps in booked rooms
D) 100 lamps per floor chosen randomly
A local library manager surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number.
Group A- 18, 20, 46, 34, 58, 31, 41
Group B- 15, 21, 32, 42, 29, 57, 39
The table shows the times, in minutes, spent shopping by 2 different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.
The mean time group A spent shopping is _ minutes
The mean time group B spent shopping is _ minutes
Which data set has the highest median?
A) 1, 10, 8, 29, 14, 17, 3
B) 11, 15, 16, 8, 12, 14
C) 1, 6, 15, 7, 15, 18, 14
D) 8, 20, 13, 14, 12, 9