A simple random sample without replacement of a population of size N = 2000 yields the following 25 values: 104 109 111 109 87 86 80 119 88 122 91 103 99 108 96 104 98 98 83 107 79 87 94 92 97 Calculate an unbiased estimate of the population mean. Calculate unbiased estimates of the population variance and Var(Xn Use the unbiased estimate of the variance of X, from part (b) to give an approxima 95% confidence interval for the population mean.

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A simple random sample without replacement of a population of size N = 2000 yields the following
25 values:
104
109
111
109
87
86
80
119
88
122
91
103
99
108
96
104
98
98
83
107
79
87
94
92
97
a)
Calculate an unbiased estimate of the population mean.
b)
Calculate unbiased estimates of the population variance and Var(Xn).
c)
Use the unbiased estimate of the variance of Xn from part (b) to give an approximate
95% confidence interval for the population mean.
Transcribed Image Text:A simple random sample without replacement of a population of size N = 2000 yields the following 25 values: 104 109 111 109 87 86 80 119 88 122 91 103 99 108 96 104 98 98 83 107 79 87 94 92 97 a) Calculate an unbiased estimate of the population mean. b) Calculate unbiased estimates of the population variance and Var(Xn). c) Use the unbiased estimate of the variance of Xn from part (b) to give an approximate 95% confidence interval for the population mean.
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