This filecontains independent observations on a random variableX. It is known that²=1.4246

File Link: https://drive.google.com/file/d/1tmHsmOMqz1CGlOR4RTFC8YKRiYQVYufm/view?usp=sharing

1. Test H₀: E(X) =1.6 against H₁: E(X) >1.6using a significance level of 1%. In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, and your conclusion.
2. Do you need to make any assumptions in order for your test to be valid?