15. Which one of these variables is a continuous random variable? A. The time it

Question

15. Which one of these variables is a continuous random variable? A. The time it takes a randomly selected student to complete an exam B. The number of tattoos a randomly selected person has. C. The number of women taller than 68 inches in a random sample of 5 women D. The number of correct guesses on a multiple choice test 16. A research paper stated that, based on a random sample of 100 patients from a community- based clinic, there is evidence that people from low-income background tend to have higher level of blood pressure. Conclusion drawn from this study is an example of A. Inferential statistics B. Population C. Random sample D. Descriptive statistics 17 Find the critical value (at 90% of confidence) for a T distribution with a sample of 20. A. 1.73 B. 1.83 C. 2.09 D. 1.33. 18. Which of the following correctly describes the relationship between the standard normal and the T distribution? A. The standard normal is an approximation to the t distribution B. As the sample size increases, the T distribution approaches the standard normal distribution C. As the sample size increases decreases, the T distribution approaches the standard normal D. The T distribution is the inverse operation of the standard normal 19. Which of the following observes a comparison between two independent samples? A. The comparison between performance on a board certification exam prior to, and post implementation of a new preparation program among a group of surgeons. a new study drug and a group receiving a placebo. new standardized exam. B. Observing the difference in fasting glucose levels between a group of individuals recei C. Determination if a SRS of children in a classroom is performing up to a particular leve D. None of the above

Explanation / Answer

Question no.15

The number of tattoos a randomly selected person has, the number of women taller than 68 inches in a random sample of 5 women and the number of correct guesses on a multiple choice test all are discrete variables.

The time takes it randomly selected student to complete the an exam is a continuous random variable because it can takes all possible values within the limits.

Correct Answer : A-The time takes it randomly selected student to complete the an exam

Question 16 :

In this question we obtained results about population based on 100 samples.

Correct Answer : B-Population

Question 17 :

d.f =20 and alpha =level of significance =0.10

Test is not mentioned either it is one-tailed or two-tailed.

Critical Values : t0.10,19= 1.328 (one-tailed test)

t0.05,19= 1.729 =1.73 (two-tailed test )

Correct Answer : A-1.73

Question 18. :

if sample size increases (i.e. n is large n >30) the t-distribution approaches to standard normal distibution.

Correct Answer : B- As the sample size increases the T distibution approaches to standard normal distiribution.

Question no.19 :

In A we comparison between perfomance of a board certification exam prior to and post implementation of new preparation program .

We take differnce between scores of same students before and after implementataion of preparation program.

i.e. There is dependancy in two samples.

In B a group receiving a new drug and group receiving a placebo. we take difference between fasting glucose level in a group of individuals receiving a new drug and placebo.

The two samples are independent.

In C we determined performanace of perticluar level of new of standardised exam of student selected by SRS in a classroom.

Here we take only one sample.

Correct choice :B

Obsering the difference in fasting glucose level between a group of individuals receiving a new drug and a group receiving a placebo.

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