Business Statistics — Summer 2023

Definitions / terms / explanations / short questions based on concepts of theory/practical

State Empirical Rule for Normal Distributions.

What is Type – Iand Type – II error in Hypothesis Testing?

State the Four assumptions of Linear Regression Model.

Which test is the non-parametric version of One Way ANOVA?

Which numbers are used in Box – Whisker Plot?

What is the range of Karl Pearson’s Coefficient of Correlation?

Which test you will use in a hypothesis to check whether skills of a set of employees have changed before and after imparting a training program?

The following data represents the weekly income of workers in a factory. No of Income workers 1800-1900 24 1900-2000 39 2000-2100 64 2100-2200 36 2200-2300 22 Calculate Mean, Median & Mode.

Describe characteristics of Binomial Distribution.

Explain the steps of Hypothesis Testing.

At a certain university, 4% of boys are over 6 feet tall and 1% of girls are over 6 feet tall. The total student population of boys to girls is divided in the ratio 3:2. If a student is selected at random and found to have a height of over six feet tall.

What is the probability that the student is a girl?

What is the probability that the student is a boy?

Aresearch firm is investigating the safety of a dangerous road intersection. Historical data (from past police records) indicates an average of 6 accidents per month at this particular intersection. The number of accidents is distributed according to Poisson distribution. The research firm wants to calculate the probability of exactly 0, 1, 2, accidents in any month. (Given: e-6 = 0.002479)

Alarge mall has designed a parking lot which has a capacity to park 10,000 cars on an average with a standard deviation of 2000 cars. Find Page 1 of

Probability that the number of cars parked is between 9000 and 11000.

An automobile company is bringing out a new model of a bike. In order to map its advertisement campaign, it wants to determine whether the model appeal depends on age group or not. So the firm took a random sample of 500 people from different age group and obtained the following result. Under Above Persons who 20 20-40 40-50 50 Total Liked the Bike 146 88 48 28 310 Disliked the Bike 54 42 32 62 190 Total 200 130 80 90 500 Test the Hypothesis whether liking for the bike is independent of the age group or not. (Take 5% level of significance)

Write a brief note on Multiple Regression.

Apsychologist wanted to compare two methods A & Bof teaching. He selected 11 pairs of students such that a pair of student has equal intelligence. In each pair one student was taught by method Aand another by method B. Then examination was taken and marks obtained by the pairs are as shown below. Pair 1 2 3 4 5 6 7 8 9 10 11 Method A 24 29 18 14 31 19 27 30 20 28 11 Method B 37 35 17 26 23 27 19 20 16 11 21 Find Spearman’s Rank Coefficient between Method A & Method B.

Write brief note on Mann-Whitney U-Test.

CASE STUDY: Use the following data where x is independent & y is dependent variable X 53 47 41 50 58 62 45 60 Y 5 5 7 4 10 12 3 11

Find the regression line equation of Yon X.

Find the Sum Square of Error. 0

Find the Correlation Coefficient between X & Y. 0

What will be the Coefficient of Determination? Page 2 of