question archive 1)Consider the population of all UNCG students
1)Consider the population of all UNCG students
Subject:EconomicsPrice:3.87 Bought7
1)Consider the population of all UNCG students. The population distribution of GPA is the distribution of _____.
A)the population mean of GPA
B)the sample mean of GPA in a sample of at least 30 UNCG students
C)a randomly chosen UNCG student
D)none of the above
2)What happens as the sample size increases?
A)The standard deviation of the population decreases.
B)The population mean increases.
C)The standard error of the mean decreases.
D)The standard error of the mean increases.
3)A population consists of 3 numbers: 2, 10 and 6. You randomly select a sample of 2 observations without replacement and calculate the sample mean. The probability that the sample mean is less than 7 is _____.
A)0
B)1
C)2/3
D)1/3
4)Which of the following is true for a point estimate?
A)A sample statistic is a point estimate of a population parameter.
B)A point estimate is never equal to a population parameter.
C)A point estimate has less sampling error than a population parameter.
D)The probability distribution of a point estimate is the population distribution.
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Answer:
1.
A)the population mean of GPA
2.
A)The standard deviation of the population decreases.
3.
C)2/3
4.
A)A sample statistic is a point estimate of a population parameter.
Step-by-step explanation
1. The reason for this is that when you take the population sample, the GPA reflected is the men GPA of all students, thus the population,
2. As one samples more and more students the accuracy of the sample increases, as a result there is less variance among the population and the standard deviation decreases.
3. Possible outcomes
10 and 6 , mean is 16/2 = 8
10 and 2 will have a mean of 6
2 and 6 difference will have a mean of 4. here are 2 out of 3 options that the value is less then 7, thus 2/3
4. The reason for this is that a sample statistic when using a point estimate test the parameter of the population, this if often done as a best guess and lacks accuracy for sampling methods.
