CSIR NET Mathematics 2024|Testing of Hypothesis | 29 April 2024

Let m = 4 and n = 3 the combined sample when ordered is as follows

x₂ < x₁ < y₃ < y₂ < x₄ < y₁ < x₃.

The value of U is

A CFA candidate conducts a statistical test about the mean value of a random variable x

 vs

Obtain a test statistic at 2.2. Given a 5% significance level determine the p-value

To test the hypothesis that eating fish makes one smarter, a random sample of 12 persons take a fish oil supplement for one year and then one given an IQ test. Here are the result

116 111 101 120 99 106 115 107 101 110 92

Test using the following hypothesis

 vs

Find the p-value

Let x₁, x₂ ……x_n be a random sample of size n from  population where  and  are both unknown. For testing  Vs   is one uses the test statistics

 where

Then, H₀ is rejected at level  if

An observation is drawn from an experimental distribution with mean . If the observation is found to be 2 and we test  Vs  with level e^-3