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he observed values is -0.18. ed 10 independent samples of a normal distribution with known erved values are 0.595, 3.923, 0.12, 1.078, 0.578, 1.575, 2.26, -0.03 -d 10 independent samples from a normal distribution. The sample- exact variance is unknown but the sample variance is s² = 1.456. d the independent samples given in the file ww1.maths.leeds.ac.uk/~arief/MATH1712/docs/ex07-q21d.cs when importing this csv file into R.

he observed values is -0.18. ed 10 independent samples of a normal distribution with known erved values are 0.595, 3.923, 0.12, 1.078, 0.578, 1.575, 2.26, -0.03 -d 10 independent samples from a normal distribution. The sample- exact variance is unknown but the sample variance is s² = 1.456. d the independent samples given in the file ww1.maths.leeds.ac.uk/~arief/MATH1712/docs/ex07-q21d.cs when importing this csv file into R.

A First Course in Probability (10th Edition)
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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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 each test 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 variance o2 = 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 file http://www1.maths.leeds.ac.uk/~arief/MATH1712/docs/ex07-q21d.csv Hint: be careful when importing this csv file into R.
Transcribed Image Text: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 each test 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 variance o2 = 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 file http://www1.maths.leeds.ac.uk/~arief/MATH1712/docs/ex07-q21d.csv Hint: be careful when importing this csv file into R.
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