Statistical Inferenceestimation Chapter 13 Statistics 11th Class MCQ Test Preparation Punjab

Total Questions: 14

Total Marks: 14

Time: 15 Mins

Question # 1

If X i is a Bernoulli random variable with parameter p , then:

Neither biased nor unbiased estimator of p
No, ^ p is a biased estimator of p
Yes
No, ^ p is not an unbiased estimator of p

Question # 2

A finite population consists of the numbers 3, 5, 7 and 9. Take all possible samples of size 2 which can be drawn with replacement from this population. Form the sampling distribution and find the mean of this sampling distribution and determine whether sample mean is an unbiased estimator of the population mean or not.

x̅ = 6 , sample mean is an biased estimator of population mean.
x̅ = 8 , biased estimator
x̅ = 6 , unbiased estimator
x̅ = 8 , sample mean is an unbiased estimator of population mean.

Question # 3

Which of the following is a biased estimator?

Question # 4

A survey was conducted to determine what percentage of college seniors would have chosen to attend a different college if they had known then what they know now. In a random sample of 100 seniors, 34% indicated that they would have attended a different college. Find 90% confidence interval for the percentage of all seniors who would have attended a different college .

Question # 5

A random sample of 100 ACT scores of students applying to western yields X = 21.2 with a sample deviation of 4.46. Find a 90% confidence interval for the true of ACT score μ of all applicants.

Question # 6

A topic of interest in ophthalmology is whether or not spherical refraction differs between the left and right eye on average. In a study to investigate this, refraction was measured on the left and right eye of 17 patients. The differences (right - left) in diopters was -3.5 with a sample standard deviation of 7.5. Assuming normality, provide a 90% confidence interval for the average difference (right - left).

Question # 7

In a sample of 800 students in a university, 160 or 20%, are Business majors. Based on the above information, the school's paper reported that "20% of all the students at the university are Business majors." This report is an example of:

Descriptive statistics, descriptive statistics
Statistical inference, statistical inference
Population, population

Question # 8

Solve

None of these
No, No, MLE is not a biased estimator of its respective estimator
Yes

Question # 9

Average score obtained by 10 students in a test is 25. Standard deviation of the sample is 8. Find the confidence interval at 95% confidence level?

Question # 10

Solve the

Neither biased nor unbiased estimator of p
No, ^ p is a biased estimator of p
Yes
No

Question # 11

In a large mall a survey was taken. It was found that in a random sample of 45 women over the age of 25, 15 had children. Find the 90% confidence interval estimate for the true proportion of women over the age of 25 in the mall who have children.

Question # 12

Estimate is the observed value of an: