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%)
250. 白米飯放久變硬是因為(A)蛋白質變性(B)澱粉糊化(C)澱粉回凝(D) 油質氧化。
249. 下列何種麵食不屬於水調和類麵食?(A)淋餅(B)芝麻醬燒餅 (C)餡餅(D)叉燒包。
248. 關於酥油的敘述,下列何者為非?(A)俗稱為「代奶油」(B)不含水分 及鹽的人造脫水奶油(C)為一種氫化的油,並加黃色色素及奶油香料 (D)雖然打發性好、價格便宜,但不可以取代純奶油。
This is a large modal.