8. Given the following linear regression model:
Υ₁ = β₁Χ₁+ εᵢ where i = 1, 2, 3, ...., n
(2) Show that the maximum likelihood estimator of β₁ is unbiased. (5%)
(1) Assume that the error terms εᵢ are independent N(0, σ²) and that σ² is known. State the likelihood function for the n sample observations on Y and obtain the maximum likelihood estimator of β₁. Is it the same as the least squares estimator of β₁? (10%)
7. An equipment manufacturer has developed a new electrical product. He
claims that the product has a mean life length of 10,000 hours, with a standard
deviation of 150 hours. A consumer tested 16 random samples of the product
and obtained a mean life length of 9,775 hours. Evaluate at the 0.05 level of
significance whether the life length announcement for the new product is
reliable ? (12%)
200. 小西餅配方中糖的用量比油多、油的用量比水多,麵糰較乾硬,須擀平 或用模型壓出的產品是?(A)脆硬性小西餅(B)軟性小西餅(C)酥硬 性小西餅(D)鬆酥性小西餅。
199. 利用糖油拌合法製作丹麥小西餅,材料中的麵粉應在最後加入,輕輕拌 勻,其主要的原因為(A)容易吸收水分(B)好控制麵粉量(C)避免攪 拌出筋(D)防止破壞打發的氣泡。
198. 麵糊類蛋糕的製作,哪種方法較省人工?(A)直接法(B)糖油拌合法 (C)粉油拌合法(D)兩步(段)拌合法。
This is a large modal.