Statistics unit test
As an AI language model, I am not able to administer quizzes or tests on behalf of teachers or educators. However, please feel free to ask me any questions related to statistics and I'll be happy to try and help you!
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?
The sample that can give the most valid generalization is the one that includes a representative mix of the company's employees who are likely to participate in team-building activities.
One possible approach to sampling is to randomly select a proportionate number of employees from each department or division, ensuring that each team is represented. This would provide a diverse and representative sample of employees who can accurately reflect the preferences of the broader employee population.
Another approach would be to conduct a survey among all employees and ensure that the response rate is high enough to ensure a representative sample. This would provide a comprehensive view of the preferences of all employees, making it possible to make valid generalizations about employee preferences.
In summary, the sample that includes a diverse and representative mix of employees who are likely to participate in team-building activities would give the most valid generalization.
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?(1 point)
Responses
all employees who have worked in the company for 5 years or more
all employees who have worked in the company for 5 years or more
400 randomly chosen employees from the list of all employees
400 randomly chosen employees from the list of all employees
a group with one member from each department
a group with one member from each department
all 624 female employees in the company
all 624 female employees in the company
The sample that can give the most valid generalization is 400 randomly chosen employees from the list of all employees. This is because the sample is randomly selected from the entire employee population and is likely to be representative of the broader employee population. Additionally, the sample size of 400 is large enough to potentially provide reliable and accurate data on employee preferences.
The other samples do not necessarily provide a representative or diverse enough mix of employees to accurately reflect the preferences of the broader employee population. For example, limiting the sample to employees who have worked in the company for 5 years or more or only including female employees would result in biased and non-representative samples. Similarly, a group with one member from each department may not accurately reflect the preferences of employees who are likely to participate in team-building activities.
A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?(1 point)
Responses
400 lamps on the first 10 floors
all lamps from the rooms with king-sized beds
all lamps in booked rooms
100 lamps on each floor chosen randomly
A random sample of lamps to be inspected would be 100 lamps on each floor chosen randomly. This is because a random sample is chosen in such a way that every lamp has an equal chance of being selected and there is no bias in the sampling method. Selecting a fixed number of lamps on each floor (such as in option A) may result in bias if there are differences in the distribution of lamps needing replacement across floors. Similarly, selecting all lamps in certain types of rooms (such as in option B or C) may not provide a representative sample. Therefore, the best option is to randomly select a fixed number of lamps on each floor.
A local library manager randomly 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.
To estimate the number of patrons who borrow novels when they visit the library, we can use the proportion of patrons who borrowed novels in the sample (3/80) and apply it to the total number of patrons in the library (345):
Proportion of patrons in the sample who borrowed novels = 3/80
Total number of patrons in the library = 345
Estimated number of patrons who borrow novels = Proportion of patrons who borrow novels x Total number of patrons in the library
Estimated number of patrons who borrow novels = (3/80) x 345
Estimated number of patrons who borrow novels = 12.94
Rounding this to the nearest whole number, the estimated number of patrons who borrow novels when they visit the library is 13.
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 two 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.(2 points)