Standard Normal Distribution-Statistics-Quizs, Exams of Statistics

Statistics study consist on topics like estimates, estimator, F distribution, sampling, multiplication theorems, probability, random variable, T distribution, geometric probability distribution, marginal probability, skewness, symmetrical distribution and transformation. This quiz includes: Standard, Normal, Distribution, Confidence, Interval, Variance, Symmetric, Joint, Marginal, Degree, Freedom, Mean, Mode

Typology: Exams

2011/2012

Uploaded on 08/12/2012

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Question No. 1
1. The t-Distribution is……………. Spread out then the standard normal Distribution.
a. Less
b. More
c. Equally
d. Not
2. To find the confidence internal for the ratio of two variances we use:
a. F-Distribution
b. Z-Distribution
c. Chi-Square Distribution
d. T-Distribution
3. How many percent of values are less then 4th deciles in a symmetric distribution.
a. 14
b. 24
c. 4
d. 40
4. The combined distribution of more than two random variables is:
a. Bivariate Distribution
b. Marginal Distribution
c. Joint Distribution
d. Univariate Distribution
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  1. The t-Distribution is ……………. Spread out then the standard normal Distribution.

a. Less b. More c. Equally d. Not

  1. To find the confidence internal for the ratio of two variances we use:

a. F-Distribution b. Z-Distribution c. Chi-Square Distribution d. T-Distribution

  1. How many percent of values are less then 4th^ deciles in a symmetric distribution.

a. 14 b. 24 c. 4 d. 40

  1. The combined distribution of more than two random variables is:

a. Bivariate Distribution b. Marginal Distribution c. Joint Distribution d. Univariate Distribution

  1. The degrees of freedom for a T-test with sample size 14 is:

a. 14 b. 13 c. 7 is not sure d. 0

  1. Which of the falling is true for the binomial distribution b(x: n, p):

a. Mean > Variance b. Mean > Variance c. Mean = Variance d. Mean = Standard Deviation

  1. What is f^ m in the formula of mode?

a. first frequency b. last frequency c. middle frequency d. highest frequency

Question No. 2

Write the two types of experimental designs? 2Marks

Question No. 3

Write down the formula for calculating the confidence interval for the mean of population (where population standard deviation is known) 2 Marks

Mileage No of classes Class Boundaries 30.0-----------32.9 2 29.95-----------32. 33.0-----------35.9 4 32.95-----------35. 36.0-----------38.9 14 35.95-----------38. 39.0-----------41.9 8 38.95-----------41. 42.0-----------44.9 2 41.95-----------44.

(1) What is the value of lower class Boundaries in the third group? (2) What is the number of class whose mileage is more than 30? (3) How many cars have the mileage more than 42.0? 3 Marks

Question No. 10

A random sample of 12 observations is drawn from a normal distribution σ 2 = 33. Suppose that the sample mean is found to be^ X = 19 Find 96 % confidence interval for^ μ^. 5 Marks

Question No. 11

If we have (^) X = 15 and

10 2 1 1 1

( X X ) 56

∑ −^ = Then find the 96 % confidence

interval for population variance ( σ^2 ). 5 Marks

Find the fitted regression line and the data from which it is computed is given below Y = 0.5 + 0.5 X Y^2 ∑ = 26,^ ∑ Y = 10,^ ∑ XY = 37, n = 5 Find Standard error estimated = Sy x^. 5 Marks

Question No. 13

^ ( (^) P )

No of samples ^ f ( (^) P ) 0 1 1/ 1/3 9 9/ 2/3 9 9/ 1 1 1/ 20

Compute the Mean Compute the Variance 5 Marks