2. There are n students with r females and n - r males. k students will be randomly chosen where k < min{r, n-r}. Let Y be the number of females. Find the distribution of Y.
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- Explain why this statement is true: Suppose you take large repeated samples of a variable X (which is uniformly distributed). The distribution of the sample means will also be uniform. The 11 participants in an experiment had the following reaction times (in milliseconds). 231, 480, 480, 484, 486, 492, 497, 501, 505, 507, 509 Complete the parts below to identify any outliers. (a) Let Q, be the lower quartile and Q, be the upper quartile of the data set. Find Q, and Q, for the data set. 2₁-0 2₁-0 (b) Find the interquartile range (IQR) of the data set. IQR- (c) Calculate a lov boundary using Q₁-1.5 1QR. Calculate an upper boundary using Q, +1.5-1QR. (Note that 1.5 1QR means 1.5 times the IQR.) Lower boundary: Upper boundary: (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". Outliers: na NoneBriefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant. Does tach increase, decrease, or stay the same? (M-u) (M-u)Vn The size of the Z-score Z. = M-u – OM (M-u) The size of Cohen's d d = (Mcr-u) (Mcr-u)vn The power P( 2Z> Mcritical-µu
- 52. Multiple Choice If the calorie contents of robin eggs are normally distributed with a mean of 25 and a standard devia- tion of 1.2, then approximately 95% of all robin eggs should In have a calorie content in the interval ex (A) [21.4, 28.6]. (B) [22, 28]. (C) [22.6, 27.4]. (D) [23, 27]. (E) [23.8, 26.2].Questior Let X; - N(3, 4) and suppose that we are going to observe X = {X1, X2, X3, X4, X5, Xg}. Calculate the sample mean and variance for x = {4.3, 5.8, 4.8, 9.8, -0.4, 7.2}. What is the probability of getting a sample mean at least as extreme (that is, greater than) as what we have here? Is the probability of getting a sample variance at least as extreme as the one we have calculated less than 0.1?rom the set of numbers {4,6, 8}, a random sample of size 2 is selected with replacement. (a) Determine the sampling distribution of the sample mean X. (b) Find the mean E(X) of the sampling distribution of the sample mean X. Compare E(X) with the population mean u.
- Needed graph for this with shaded area and need perfect ans in 15 min pleaseQs: A fair coin is tossed three times. Let X denotes 1 or 0 according as a head or a tail occurs on the first toss, and let Y denote the number of tails which occur. Determine (Answer ONLY ONE): a. The distribution of X and Y b. The joint distribution h of X and Ypoint) Four buses carrying 157 high school students arrive to Montreal. The buses carry, respectively, 33, 50, 25, and 49 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) = E(Y) = Var(Y) =