Basic Statistics (BS) — Winter 2023

Define the following terms: 1) Sample 2) Population 3) IQR 4) Skewness 5) Pie chart 6) Independent Event 7) Mutually Exclusive event

Construct a histogram and frequency polygon for the following data: Income 0 - 50 50 - 100 100 -150 150 - 200 200 - 250 250 -300 (in Rs.) Frequency 10 30 80 90 40

Discuss the measures of central tendency with suitable example.

Adataset contains the following five values: 5, 9, 16, 17 and 18 Determine the Mean, Variance, SD and MAD.

Two dies are thrown simultaneously, and the sum of the numbers obtained is found to be 7. What is the probability that the number 3 has appeared at least once?

Write down the formula and properties of Poisson distribution.

Aclothing company produces men’s jeans. The jeans are made and sold with either a regular cut or a boot cut. In an effort to estimate the proportion of their men’s jeans market in Oklahoma City that prefers boot-cut jeans, the analyst takes a random sample of 212 jeans sales from the company’s two Oklahoma City retail outlets. Only 34 of the sales were for boot-cut jeans. Construct a 90% confidence interval to estimate the proportion of the population in Oklahoma City who prefer boot-cut jeans.

Aproduction company’s 350 hourly employees average 37.6 years of age, with a standard deviation of 8.3 years. If a random sample of 45 hourly employees is taken, what is the probability that the sample will have an average age of less than 40 years?

Afair coin is tossed 10 times, what are the probability of getting exactly heads and at least six heads.

Discuss Sampling methods in detail.

If 10% of a population of parts is defective, what is the probability of randomly selecting 80 parts and finding that 12 or more parts are defective?

A GMAT test that have a mean of 494 and a standard deviation of 100, assume GMAT scores are normally distributed. What is the probability of obtaining a score greater than 700? What is the probability of randomly drawing a score that is 550 or less?

Calculate a t-test for the following data of the number of times people prefer coffee or tea in five time intervals. (Only calculated value of t-test) Coffee 4 5 7 6 9 Tea 3 8 6 4

Discuss the types of hypothesis.

Ateacher claims that the mean score of students in his class is greater than with a standard deviation of 20. If a sample of 81 students was selected with a mean score of 90 then check if there is enough evidence to support this claim at a 0.05 significance level.

Draw a scatter plot and determine the equation of the regression line from the following data: No. Of Beds FTEs No. Of Beds FTEs

Acompany wants to improve the quality of products by reducing defects and monitoring the efficiency of assembly lines. In assembly line A, there were 18 defects reported out of 200 samples while in line B, 25 defects out of 600 samples were noted. Is there a difference in the procedures at a 0.05 alpha level?