θα Let X1,..., X, denote a random sample from ƒ(x; 0) = 0e−0x1(0,∞)(x). (i) Find a 100% confidence-interval estimator of P(X > 1) based on the random sample. (ii) Find a pivot based only on X1:n, and use it to find a confidence interval of 0.
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- In a linear regression aialysis of 60 observations, the two lines of regression are 100 Y = 768 X– 3608 and 5X = 6Y + 24. (i) Find r. 5. (ii) Show that the ratio of the standard deviations of X to that of Y is 4A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At x = 0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not % of adults in the country would travel into space…(a) Find the t critical value associated with 95% confidence with 7 df. t* = (b) Find the t critical value associated with 99% confidence with 17 df. t* =
- Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 139 pairs of measurements yield x = 31.99 cm, y = 163.33 cm, r= 0.032, P-value = 0.708, and y = 158 + 0.1703x. Find the best predicted value of y (height) given an adult female with an arm circumference of 35.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D ..... The best predicted value is cm. (Round to two decimal places as needed.)Q2 Let X1, ... ,X, f(r;0) = e-/0,r > 0. r.s. Q2 Let X1, ., X, f(r;8) = %3D (i) Find the score and information functions of 0. (i) Show that X is an efficient estimator 0.If degree of freedom(df) = 20, find the t value(s) for α = 1.0% in two tails(lower and upper tail) ✡✎ +/-2.845 +/-2.145 +2.861 -2.861 If degree of freedom(df) = 2, find the t value for α = 5.0% in one tail( lower tail) ✡✎ -2.920 +2.920 -1.753 2.977 none of the above If degree of freedom(df) = 20, find the t value for α = 1.0% in one tail( lower tail) – 2.528 ✢✎ ☞ ✒✎✕✒✘ -2.539 + 2.539 If n = 20, find the t value for α = 0.5% in one tail (upper tail) 2.861 2.602 ✣✎ 2.977 2.947 none of the above Use the standard normal probability distribution table (Z) to find the following probabilities: P( Z < 1.2) 5871 5478 6543 8849 P( Z > 1.72) 0427 9573 9656 0344 P( Z < -0.42) 0778 9222 3372 6638 P( Z > - 0.42) 0778 9222 3322 6628 P( 2.28 < Z <3.28) 0778 9995 0108 9887 P( -1.20 < Z < 1 .04) 8508 7357 7457 9876 P( -1.52 < Z < -0.09) 0987 0643 0,3998 4641
- Heights (om) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 41 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x 167.74 cm, y 81.46 ko, r0.239, Pvalue 0.017, and y - 106 + 1,15x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 153 cm tall is kg. (Round to two decimal places as needed.)Please help me answer (d) and (e).Suppose a logistic regression model is fitted for the probability of car ownership for residents of a certain city in Oman (Y=1 if a resident owns a car, Y=0 if a resident does not own a car). Suppose the explanatory variables used are x1=no. of years a resident spent in schooling and x2 is gender of the resident of the city (x2=1 for a male and x2=0 for a female resident) a) Interpret el and e82 b) if BO= -1.6, B1=0.4 and B2=3, estimate the probability of a resident in the city owning a car.
- Let X1, X2, ..., Xn be a random sample having the common pdf f(xr, 0) = exp[-(x – 0)] for r2 0. (i) Show that 0 = min(X1, X2, .., X„) is the MLE of 0. (ii) Show that E(0) = 0 + . (Hint: Find the common distribution function of X; and use 1.1-6 to find the pdf of 0.)Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 143 pairs of measurements yield x = 32.40 cm, y = 160.39 cm, r=0.072, P-value = 0.393, and y = 157 + 0.1075x. Find the best predicted value of y (height) given an adult female with an arm circumference of 34.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D The best predicted value is cm. (Round to two decimal places as needed.) Enter your answer in the answer box. MacBook Pro 888 esc %24 % & 4. 9- E T. Y. H. K %#3Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 146pairs of measurements yield x=34.69cm, y=163.25cm, r=0.075, P-value=0.368, and y=157+0.1826x. Find the best predicted value of y (height) given an adult female with an arm circumference of 40.0cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. The best predicted value is ____cm.