What is statistics? Explain types of statistics in detail.
[7 marks]Following is the distribution of persons according to different income groups. Calculate arithmetic mean. Income 0-10 10-20 20-30 30-40 40-50 50-60 60-70 No. of persons 6 8 10 12 7 4
[3 marks]Adata set contains the following seven values. 6, 2, 4, 9, 1, 3, 5. a. Find mode b. Find median c. Find the range. d. Find the mean absolute deviation. e. Find the population variance. f. Find the population standard deviation. g. Find the interquartile range.
[7 marks]In a manufacturing plant, machine Aproduces 10% of a certain product, machine Bproduces 40% of this product, and machine Cproduces 50% of this product. Five percent of machine Aproducts are defective, 12% of machine Bproducts are defective, and 8% of machine Cproducts are defective. The company inspector has just sampled a product from this plant and has found it to be defective. Determine the revised probabilities that the sampled product was produced by machine A, machine B, or machine C.
[7 marks]Explain bayes’ theorem in detail.
[7 marks]Explain Poisson Probability Distributions in detail.
[7 marks]If a fair coin is tossed 10 times, find the probability of exactly seven tails
[7 marks]Explain mutually exclusive and exhaustive events with example.
[7 marks]Students of a class were given an aptitude test. Their marks were found to be normally distributed with mean 60 and standard deviation 5. What percentage of students scored? i) More than 60 marks (ii) Less than 56 marks (iii) Between 45 and 65 marks Page 1 of
[2 marks]Determine the equation of the regression line for the following data, and compute the residuals. X 15 8 19 12 Y 47 36 56 44 21
[5 marks]Calculate Correlation Coefficient r X 102 111 115 113 112 114 111 116 119 121 123 Y 100 112 113 116 117 118 119 122 122 125 130
[7 marks]What is Hypothesis? Give the detail note on general process of testing of hypothesis.
[7 marks]Explain one-tailed test and two-tailed test.
[7 marks]Arandom sample of size 70 is taken from a population that has a variance of 49. The sample mean is 90.4 What is the point estimate of ? Construct a 94% confidence interval for .
[7 marks]The Independent Insurance Agents of America conducted a survey of insurance consumers and discovered that 48% of them always reread their insurance policies, 29% sometimes do, 16% rarely do, and 7% never do. Suppose a large insurance company invests considerable time and money in rewriting policies so that they will be more attractive and easy to read and understand. After using the new policies for a year, company managers want to determine whether rewriting the policies significantly changed the proportion of policyholders who always reread their insurance policy. They contact 380 of the company’s insurance consumers who purchased a policy in the past year and ask them whether they always reread their insurance policies. 164 respond that they do. Use a 1% level of significance to test the hypothesis.
[7 marks]Explain Type-Iand Type – II Errors in detail.
[7 marks]Explain different types of Sampling methods. Page 2 of
[2 marks]