Guidelines
- One Word file should be used to submit the full assignment. If you make calculations in Excel and import the tables, be sure that the full table appears on the same page of your document.
- Your file should be named: SE2 Lastname Firstname
- Use the Harvard referencing system throughout the report.
Part 1
Keywords:Confidence Intervals for Means, Normal distribution, t-student distribution
Exercise1. For the following data set
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114
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112
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123
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111
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109
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103
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112
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113
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107
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129
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108
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126
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131
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129
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126
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115
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123
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108
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131
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115
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134
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133
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132
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114
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104
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127
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128
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137
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114
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139
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128
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117
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121
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110
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141
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121
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138
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140
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122
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130
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115
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102
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Table 1: Data set Exercise 1
Construct a 1.90% confidence interval for the population mean; 2.95% confidence interval for the population mean; 3.99% confidence interval for the population mean;
4.What assumption do you need to make about the population of interest to construct the confidence intervals ?
Exercise 2. For the following data set
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136
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141
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137
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145
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131
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135
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138
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136
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130
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132
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136
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134
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137
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133
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141
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139
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Table 2: Data set Exercise 2
Construct a
1.90% confidence interval for the population mean;
2.95% confidence interval for the population mean;
3.99% confidence interval for the population mean;
4.What assumption do you need to make about the population of interest to construct the confidence intervals
Exercise 3. Two boxes, A and B contain equal numbers of balls (black and white). A sample of 100 balls selected with replacement from each of the boxes revealed 52 white balls form box A and 44 white balls from box B.
1. Test the hypothesis that the two boxes have equal ratio of white balls, using a significance level of 0 .05 2.Test the hypothesis that box A has greater ratio of white balls than box B, using a significance level of 0.05
Exercise 4. Consider the sample data for grades A, B, C & D of four different classes, which are tabulated in table 3. Test whether the four means are equal at the 0.05 level of significance.
Perform a test that will compare all 4 means at once. We are not interested in pair-wise comparisons at this stage.
Please show all the steps in your calculations.
Table 3: Data set Exercise 4
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80
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81
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83
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78
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83
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79
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72
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79
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80
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83
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80
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80
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65
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76
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81
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98
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92
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65
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87
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57
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81
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74
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68
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81
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65
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34
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68
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71
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34
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45
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78
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91
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57
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61
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51
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46
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71
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69
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66
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72
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71
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59
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63
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82
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81
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67
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61
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52
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72
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75
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64
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81
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80
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74
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36
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55
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78
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83
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67
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91
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94
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73
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51
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98
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