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
$150000-2
$220000-4
$490000-3
$540000-2
$800000-5
$975000-2
The values of several different houses on Lilac Street are displayed on the table above. What is the median value of these houses?
To find the median value, we need to first arrange the values in order from smallest to largest:
$150000, $220000, $490000, $540000, $800000, $975000
There are six houses, which is an even number. To find the median, we take the average of the two middle values:
Median = ($490000 + $540000) / 2 = $515000
Therefore, the median value of these houses is $515000.
Theo, Ara, Jose, and Dana all got 100% on their latest math test. Their scores on the previous 6 tests are listed. Whose mean test score will increase the most?
A) Ara: 100, 98, 99, 97, 100, 100
B) Jose: 91, 93, 97, 96, 96, 96
C) Dana: 68, 74, 83, 80, 81, 82
D) Theo: 84, 88, 81, 85, 77, 76
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1 Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.
The range of the speeds of the fastest steel roller coasters in Europe is _
mph. The range of the speeds of the fastest steel roller coasters in North America is _
mph.
Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.
The mean daily high temperature of Sample 1 is _
°.
The mean daily high temperature of Sample 2 is _
°.
The mean daily high temperatures of the two samples differ by _
°.
The data from two random samples of 100 students regarding what pet they own is given below.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
To find the percentage of students who own a bird as a pet, we need to add up the number of students who own a bird in both samples, and then divide by the total number of students in both samples:
Number of students who own a bird: 8 + 12 = 20
Total number of students in both samples: 100 + 100 = 200
Percentage of students who own a bird: (20/200) x 100% = 10%
Therefore, based on the two samples, 10% of students own a bird as a pet.
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22
The range of the number of goals scored by Lacrosse Team 1 is _
. The range of the number of goals scored by Lacrosse Team 2 is _
. Based on the range, Lacrosse Team _
has a more consistent number of goals scored.
To find the range of the number of goals scored by each team, we need to subtract the lowest score from the highest score:
For Lacrosse Team 1:
The lowest score is 0.
The highest score is 17.
The range is 17 - 0 = 17.
For Lacrosse Team 2:
The lowest score is 14.
The highest score is 23.
The range is 23 - 14 = 9.
Therefore, the range of the number of goals scored by Lacrosse Team 1 is 17, and the range of the number of goals scored by Lacrosse Team 2 is 9.
A smaller range indicates less variability, so Lacrosse Team 2 has a more consistent number of goals scored.
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
The data value in common for both distributions with the lowest number is _
.
The data value in common for both distributions for the highest number is _
.
Are you sure?
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
The median number of books read during the summer by Class 1 is _
.
The median number of books read during the summer by Class 2 is _
.
Class _
has a higher median number of books read during the summer.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
Bot
Bot, please answer the question
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
@bot
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
hey bot can you help me
bot
To find the mean time each group spent shopping, we can sum up the shopping times and divide by the number of people in the group:
Mean time for group A = (18 + 20 + 46 + 34 + 58 + 31 + 41) / 7 = 32.29 minutes
Mean time for group B = (15 + 21 + 32 + 42 + 29 + 57 + 39) / 7 = 32.43 minutes
Rounding to one decimal place:
The mean time group A spent shopping is 32.3 minutes.
The mean time group B spent shopping is 32.4 minutes.
To determine the difference in the mean times, we can subtract the mean time for group A from the mean time for group B:
32.43 - 32.29 = 0.14
Rounding to one decimal place, we get a difference of 0.1 minutes between the mean times.
To find the median for each data set, we need to first put the numbers in order from smallest to largest:
A) 1, 3, 8, 10, 14, 17, 29
B) 8, 11, 12, 14, 15, 16
C) 1, 6, 7, 15, 15, 18, 14
D) 8, 9, 12, 13, 14, 20
The median is the middle value in a data set. If the data set has an odd number of values, the median is the value in the middle. If the data set has an even number of values, the median is the average of the two values in the middle.
Using this definition, we can see that:
A) has a median of 10
B) has a median of 13
C) has a median of 15
D) has a median of 13.5
Therefore, the data set with the highest median is C) 1, 6, 15, 7, 15, 18, 14, with a median of 15.
To find the mean daily high temperature of each sample, we need to sum up the temperatures and divide by the number of days:
For Sample 1:
Mean = (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
= 85.1°F
For Sample 2:
Mean = (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
= 85.8°F
The difference between the means is:
85.8 - 85.1 = 0.7°F
Therefore, the mean daily high temperature of Sample 1 is 85.1°F, the mean daily high temperature of Sample 2 is 85.8°F, and the mean daily high temperatures of the two samples differ by 0.7°F.
The dot plot for cars has a range from 18 to 22, and the dot plot for SUVs has a range from 21 to 25. Therefore, the two distributions do not have any values in common within the range of the plots.
In other words, there is no common data value for both distributions with the lowest or highest number.
To find the median number of books read by each class, we need to first put the numbers in order from smallest to largest:
For Class 1:
0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10
For Class 2:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
The median is the middle value in a data set. If the data set has an odd number of values, the median is the value in the middle. If the data set has an even number of values, the median is the average of the two values in the middle.
Using this definition, we can see that:
For Class 1:
The median is the average of the two middle values: (5 + 6)/2 = 5.5
For Class 2:
The median is the middle value: 4
Therefore, Class 1 has a higher median number of books read during the summer with a median of 5.5, compared to Class 2 with a median of 4.