Basic Statistics (BS) — Summer 2022

Consider a sample with data values of 2890, 2710, 2880, 2755, 2850, 2880, 2920, 3050, 2950, 3325, 3130 and 2940.

Provide the five number summaries for the data. (ii) Show the Box Plot for the data.

Do as directed. 1) Define Kurtosis. 2) The outcomes of an experiment are classified as __________. 3) If Null Hypothesis is accepted when it is false, it will be Type-Ierror. – True or false? Justify your answer. 4) If P (A) = 0.8, P (B) = 0.5 and P (A∪B) = 0.9 find P (A|B). 5) As the sample size increases, standard error also increases. (T/F) ? Justify. 6) The difference between the highest and the lowest observations in the data set is called ____________. 7) If Standard deviation = 8 and Coefficient of variation = 64% then compute mean.

Arandom sample of 81 units is taken, producing a sample mean of 211 with a population standard deviation of 6. Construct 95% confidence level interval to estimate population mean.

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)

The probability that a bomb dropped from an aero plane will hit the target is 0.4. Five bombs are dropped from the aero plane to destroy a bridge. 2 bombs are sufficient to destroy the bridge. What is the probability that the bridge will be destroyed?

Suppose that IQ scores of students have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. 1. What percentage of people should have an IQ score between 85 and 115? 2. What percentage of people should have an IQ score between 70 and 1303

1) Define Mutually exclusive events and independent events. 2) Find out P(B|F), P(G|C) and P(D|F) for the following Data: Events:- Finance =A, Manufacturing =B, Communication = C, Northeast = D, Southeast=E, Midwest = F, West= G Page 1 of

Define the normal distribution. Marks of large number of students are distribution normally with mean 55 and standard Deviation 13. If a student is selected at random what is the probability that his marks will be Between (1) 43 and 67 (2) 35 and 75 (3) More then 60

Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is passengers per minute.

Compute the probability of no arrivals in one minute period.

Compute the probability that three or fewer passengers arrive in one minute period.

Suppose that during any hour in a large department store, the average number of shoppers is 448, with a standard deviation of 21 shoppers. What is the probability that a random sample of 49 different shopping hours will yield a sample mean between 441 and 446 shoppers?

Arandom sample of 1,000 persons from town A, 400 is found to be consumers of wheat. In a sample of 800 from town B, 400 are found to be consumers of wheat. Do these data reveal a significant difference between town Aand town B, so far as the proportion of wheat consumer is concerned?

Asimple random sample of 50 items from a population with σ= 6 resulted in a sample mean of 32. Provide a 90%, 95% and 99% confidence intervals for the population mean.

Give Difference between (i) One tailed and two tailed test (ii) Type-Iand Type-II Error.

Five observations taken for two variables follow: X 12 21 28 8 Y 17 15 22 19 24 (1) Develop the estimated regression equation by computing the values of b0 and b1. (2) Use the estimated regression equation to predict the value of y when x = 10.

In a study of job satisfaction, a series of tests was administered to 50 subjects. The following data were obtained: higher scores represent greater dissatisfaction. Construct a stem-and-leaf display for the data.

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

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

List all types of sampling methods. Explain any two Probabilistic and any two non-probabilistic sampling methods. Page 2 of