Question

1. A researcher claims that less than 60% of oat plants are resistant to crown rust disease. When 1000 oat plants were selected from a large population of oat plants, 47% were found to be resistant to that disease. a) What is the population of interest? b) What is the sample? c) What is the parameter? d) What is the statistic? e) Does the value 60% refer to the parameter or the statistic? f) Is the value 47% a parameter or a statistic? g) Explain briefly how the statistic can be used to make inferences about the parameter to test the claim. 8. The Human Resources Director of a large corporation wishes to develop an employee benefits package and decides to select 500 employees from a list of all (N=40,000) workers in order to study their preferences for the various components of a potential package. All the employees in the corporation constitute the 9. Studies shown that mean IQ of college students in the UAE is 104 with a standard deviation of 16. Suppose a psychologist wishes to investigate the mean IQ of students at the AURAK. 25 students were sampled and the sample mean was 103. The sample standard deviation was 12. a) What is the population of interest? b) What is the parameter? c) What is the sample? d) What is the statistic?

Answer 1

Step-by-step explanation:

1. a) The population of interest is the entire population of oat plants.

b) The sample is the 1000 oat plants that were selected from the larger population.

c) The parameter is the true proportion of oat plants in the entire population that are resistant to crown rust disease.

d) The statistic is the proportion of oat plants in the sample that are resistant to crown rust disease.

e) The value 60% refers to the parameter. It is the claimed proportion of oat plants in the entire population that are resistant to crown rust disease.

f) The value 47% is a statistic. It is the proportion of oat plants in the sample that are resistant to crown rust disease.

g) The statistic can be used to make inferences about the parameter by using statistical methods such as hypothesis testing or confidence intervals. In this case, the researcher's claim is that less than 60% of oat plants are resistant to crown rust disease. By comparing the sample statistic (47%) to the claimed parameter (60%), the researcher can test whether the evidence from the sample supports or contradicts the claim. Statistical techniques can provide estimates of the sampling variability and assess the likelihood of observing the sample statistic if the parameter were truly 60% or less. This allows the researcher to make conclusions about the population based on the information obtained from the sample.

2. a) The population of interest is all the workers in the corporation.

b) The parameter is the preferences of the entire population of workers for the various components of the employee benefits package.

c) The sample is the 500 employees selected from the population of workers.

d) The statistic would depend on the specific analysis conducted on the preferences of the 500 sampled employees. It could be proportions, means, or other relevant measures obtained from the sample. Without more information, we cannot determine the exact statistic.

3. a) The population of interest is the students at AURAK.

b) The parameter is the mean IQ of all students at AURAK.

c) The sample is the 25 students who were sampled.

d) The statistic is the sample mean IQ of the 25 sampled students (103) and the sample standard deviation (12).