Statistical Methods — Summer 2018

Do as directed :

Define : Degree of freedom (ii) If Aand Bare mutually exclusive events then what is the value of P(AB)? (iii) List out applications of statistics in business and economics. (iv) Arithmetic operators are appropriate for________data. (Quantitative/ Qualitative)

Define : Type-Ierror and Type-II error (vi) What is ogive ? (vii) Write full form of : ANOVA

Construct Stem & Leaf Display for following data. 86,77,91,60,55,76,92,47,88,67,23,59,72,75,83,77,68,82,97,89,81,75,74,39,67,79,83, 70,78,91,68,49,56,94,81

Meclia Matrix Collected data showing most popular website browsing at home and work. Websites Unique Visitors (X) About.com 5538 Alvita.com 7391 Amazon.com 7986 Ag.com 8917 Aol.com 23863 Ebay.com 6786 Excite.com 8296 Mountan.com 10479

Compute Mean and Median (ii) Compute First Quartile and Third Quartile (iii) Compute 85th Percentile

Abowler’s score for six games were x : 182, 168, 184, 190, 170, and 174. Using these data as a sample. Compute the following data.

Variance (ii) Standard Deviation (iii) Coefficient of Variance OR1

Consider the following data : X : 5 9 16 17 18 Find :

Mean absolute deviation (MAD) (ii) Sample variance (iii) Sample standard deviation

Given P(A) = 0.10 , P(B) = 0.12 , P(C) = 0.21 , P(A  C) = 0.05 & P(B  C)=0.03 then solve the following :

P(A  C) (ii) P(B  C) (iii) If Aand Bare mutually exclusive events then find P(A  B)

Find following from binomial formula:

If n=4 , p =0.10 then find P(x=3) (ii) If n=20 , p =0.06 then find P(x < 3) (iii) If n=20 , p=0.06 then find P(x= greater than or equal 3)

Bank customers arrive randomly on weekday afternoon at average rate(lamda) of 3.2 customers in every 4 minute.(Use poison distribution)

What is the probability of having exactly 8 customers in 4 minute? (ii) What is the probability of having greater than 9 but less than customers in 4 minutes ? (iii) What is the probability of having exactly 10 customers in 8 minutes?

The Average (mean) stock price for companies making up is 494 and Standard deviation is 100 then Assume the stock prices are normally distributed.

What is the probability a company will have a stock price exactly ? (ii) What is the probability a company will have a stock price greater than 700 ? (iii) What is the probability a company will have a stock price between 300 and 600 ?

Acompany rate before and after viewing inspection report of different 7 years is given in following table. Consider 0.05 level significance & Check following hypothesis : Null hypothesis : D = 0 Alternative hypothesis : D < 0 Before After3239

Arandom sample of 112 item is taken, resulting in a sample mean 78695 and population standard deviation is 14530. Assume population mean () is 74914 and consider 5 % significance level . Check following hypothesis : Null hypothesis :  = 74914 Alternative hypothesis :  ≠ 74914 OR2

Use the following Sample information & Construct 95% confidence interval for difference in mean of two population. Sample-1 Sample-2 Sample size : 50 50 Sample mean : 21.45 24.60 Population standard deviation : 3.46 2.99

Arandom sample of 20 item is taken, resulting in a sample mean 25.51 and sample standard deviation is 2.1933 .Assume population mean () is 25 and consider alpha 0.05 significance level .Use t-test to check following hypothesis : Null hypothesis :  = 25 Alternative hypothesis :  ≠ 25

Given are Five observation for two variable Xand Y. X 1 2 3 4 Y 3 7 5 11

Calculate Regression Equation by using b0 and b1 (ii) Use estimated Regression to predict value of Ywhen X =

Compute One-Way ANOVA table for following data & find value of F. X1 X2 X3

Consider following data. X 2 4 5 7 Y 2 3 2 6 Ŷ Assume regression equation of these data is : =2.65 + (0.25) X

Compute the SSE, SST & SSR (ii) Compute the Coefficient of Determination ( r2 )

Construct the five number summary for following data & Draw Box Plot.