Consider the following for the four items that follow: The frequency distribution of height of students of a class is given below:Height (in cm) Number of Students 160–162 12 162–164 15 164–166 24 166–168 13
The most appropriate graphical representation of the given frequency distribution is
Bar chart
The bar chart is the most suitable representation for the frequency distribution of data in this case. It is used to represent the frequency of categories clearly.
What is the median height of the class?
What is the total number of students whose height is less than or equal to 165 cm?
Methods of presentation of data are:
Consider 35 i.i.d. observations X1, X2, ...., X15 and Y1, Y2, ..., Y20. Let R be the Wilcoxon's rank sum statistic based on the ranks of the X' s in the combined sample. Then the expected value of R is
Let I, J > 5. Consider two-way ANOVA, where the observations satisfy the linear model
yij = α + βi + γj + εij, 1 ≤ i ≤ I, 1 ≤ j ≤ J
E(εij) = 0, Var(εij) = σ2, \(\sum_{i=1}^{!} β_i=\sum_{j=1}^j γ_j=0 .\)
In this set - up
Let X1,X2,...,Xn be a random sample from exponential distribution with mean θ. Which of the following is NOT a sufficient statistic for θ?
A newly developed algorithm for random number generation needs to be tested. The first step is to check whether the sequence of numbers generated can be considered a random sample from the uniform distribution on the interval (0, 1). Which of the following is an appropriate nonparametric test?