Based on available data, the distribution function chosen to model particular data is   fx(x) = λ e- λ x   Given these three data points: 3.6, 5.5, and 3.8, use the Maximum Likelihood Estimation method to

The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic: t= (round to one decimal)

Please answer the Q2 and Q3.

For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (X) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.2, y = 5.9, r= -0.244, P-value = 0.087, and y =7.68 - 0.285x, Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.05 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.)