Exercise 15. For the following four cases, perform statistical tests with significance level= 5%,testing the hypothesis Ho: = 0 against the alternative H₁: 0. Show how you perform eachtest and state the outcome.a) We have observed 100 independent, normally distributed values with known variance o² = 1.The average of the observed values -0.18.b) We have observed 10 independent samples of a normal distribution with known varianceo2 = 4: The observed values are 0.595, 3.923, 0.12, 1.078, 0.578, 1.575, 2.26, -0.031, 1.733,and 1.135.c) We have observed 10 independent samples from a normal distribution. The sample mean is-1.405, the exact variance is unknown but the sample variance is s= 1.456.d) We have observed the independent samples given in the filehttp://www1.maths.leeds.ac.uk/~arief/MATH1712/docs/ex07-q21d.csvHint: be careful when importing this csv file into R.

Answered: he observed values is -0.18. ed 10…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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