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Q36Section B (Section B)36 of 60

t and F pivots from a normal sample

Let X1,X2,…,X20X_1,X_2,…,X_{20} be a random sample from a N(μ,σ2)N(\mu,\sigma^2) population. Suppose P=110∑i=110XiandQ=19∑i=110(Xi−P)2.P=\frac1{10}\sum_{i=1}^{10}X_i\quad\text{and}\quad Q=\frac19\sum_{i=1}^{10}(X_i-P)^2. Then which of the following statements is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.