STA1510 EXAM PACK 2027 {DETAILED QUESTIONS AND ANSWERS }

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STA1510 EXAM
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TABLE OF CONTENTS

INTRODUCTION 1

STUDY UNIT 1
1.1 Sample versus population 7
1.2 Types of variables 8
1.3 Levels of measurement 9


STUDY UNIT 2
2.1 Tables and charts for categorical data 11
2.2 Tables and charts for numerical data 11
2.3 Summary 16


STUDY UNIT 3
3.1 Central tendency 17
3.2 Measures of dispersion 19
3.3 Summary 25


STUDY UNIT 4
4.1 Introduction 27
4.2 Assigning probability to an event 29
4.3 Calculation of probability 31
4.4 Self-assessment exercise 47
4.5 Solutions to the self-assessment exercise 50
4.6 Summary 52


STUDY UNIT 5
5.1 Introduction 53
5.2 Probability distribution for discrete random variables 56
5.3 The binomial distribution 61
5.4 The Poisson distribution 65
5.5 Self-assessment exercise 67
5.6 Solutions to the self-assessment exercise 69
5.7 Summary 71


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STUDY UNIT 6
6.1 Introduction 73
6.2 Normal and standardised normal distributions 74
6.3 Self-assessment exercise 85
6.4 Solutions to the self-assessment exercise 88
6.5 Summary 92


STUDY UNIT 7
7.1 Introduction 93
7.2 Sampling distribution of the mean 95
7.3 Sampling distribution of the proportion 102
7.4 Self-assessment exercise for section 7.2 106
7.5 Self-assessment exercise for section 7.3 108
7.6 Solutions to the self-assessment exercise for section 7.2 109
7.7 Solutions to the self-assessment exercise for section 7.3 115
7.8 Summary 117


STUDY UNIT 8
8.1 Introduction 119
8.2 Confidence interval estimate for the mean when the population standard
deviation is known 121
8.3 Confidence interval estimate for the mean when the population standard
deviation is unknown 123
8.4 Confidence interval estimate for the proportion 126
8.5 Self-assessment exercise 128
8.6 Solutions to the self-assessment exercise 129
8.7 Summary 132


STUDY UNIT 9
9.1 Introduction 133
9.2 Fundamental concepts of hypothesis testing 134
9.3 Hypothesis testing for the mean 137
9.4 Hypothesis testing for the proportion 143
9.5 Self-assessment exercise 145


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9.6 Solutions to the self-assessment exercise 146
9.7 Summary 149


STUDY UNIT 10
10.1 Introduction 151
10.2 Basic concepts of Chi-square testing 151
10.3 Testing for independence of two variables 152
10.4 Summary 156


STUDY UNIT 11
11.1 Introduction 157
11.2 The simple linear regression line 158
11.3 Introduction to correlation analysis 160
11.4 Summary 162




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