1. Let a random sample of size 17 from a normal population for which both mean μ and variance σ2 are unknown yield x = 3.12 and s2 = 1.04. Determine a 99% con?dence interval for μ.
2. A random sample from a normal population yields the following 25 values:
|
90
|
87
|
121
|
96
|
106 107 89
|
107 83 92
|
|
117
|
93
|
98
|
120
|
97 109 78
|
87 99 79
|
|
104
|
85
|
91
|
107
|
89
|
|
(a) Calculate an unbiased estimate θˆ of the population mean.
(b) Give approximate 99% con?dence interval for the population mean.