(c) Daily costs (in dollars) are given byㄒ $$C = 100 + 0.95X$$ where X is the number of hamburgers sold. Find the mean and standard deviation of daily profits from sales. (15%)

(b) If the consultant submits a bid of $12,000, what is the probability that she will secure the contract?

(c) The consultant decides to submit a bid of $12,000. What is her expected profit from this strategy?

(d) If the consultant wants to submit a bid so that her expected profit is as high as possible, discuss how she should go about making this choice.

(a) Find the probability that the sample standard deviation is more than $3,000.

(b) Find the probability that the sample standard deviation is less than $1,500.

(10%)5. Independent random samples were taken of male and female clients of University Entrepreneurship Centers. These clients were considering starting a business. Of 94 male clients, 53 actually started a business venture, as did 47 of 68 female clients. Find and interpret the p-value of a test of equality of the population proportions against the alternative that the proportion of female clients actually starting a business is higher than the proportion of male clients.

(a) What is the probability \( \alpha \) of a Type I error using the decision rule if the population mean is in fact 800 kilowatts per day?

(b) What is the probability \( \beta \) of a Type II error using this decision rule if the population mean is in fact 740 kilowatts per day?

(i)Would the value of \( \alpha \) be larger than, smaller than, or the same as that found in (a)?

(ii)Would the value of \( \beta \) be larger than, smaller than, or the same as that found in (b)?

115年 - 115 國立臺北大學_日間學士班轉學生招生考試試題_統計學系日間學士班2、3年級 金融與合作經營學日間學士班3年級：統計學#147585

115年 - 115 國立臺北大學_碩士班一般入學考試試題_國際企業研究所：統計學#147120

115年 - 115 國立臺北大學_碩士班一般入學考試試題_統計學系：統計學#147104

115年 - 115 國立臺北大學_碩士班一般入學考試試題_自然資源與環境管理研究所：統計學#146969

115年 - 110 國立臺北大學_碩士班一般入學考試試題_企業管理學系甲組：統計學#146951

115年 - 115 國立臺北大學_碩士班一般入學考試試題_金融與合作經營學系：統計學#146920

115年 - [無官方正解]115 國立臺北大學_碩士班一般入學考試試題_經濟學系：統計學#146534

115年 - [無官方正解]115 國立嘉義大學_碩士班招生考試試題_財務金融學系：統計學#143862

115年 - 115 中央警察大學_碩士班入學考試試題：統計學#139759

114年 - 114 國立臺北大學_日間學士班轉學生招生考試試題_統計學系日間學士班2、3年級、金融與合作經營學系日間學士班3年級：統計學#147795