Q.66 The composition of the earth鈥檚... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 9: Q.66 (page 588)

The composition of the earth鈥檚 atmosphere may have changed over time. To try to discover the nature of the atmosphere long ago, we can examine the gas in bubbles inside ancient amber. Amber is tree resin that has hardened and been trapped in rocks. The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. Measurements on 9 specimens of amber from the late Cretaceous era (75 to 95 million years ago) give these percent of nitrogen:
63.4 65.0 64.4 63.3 54.8 64.5 60.8 49.1 51.0
Explain why we should not carry out a one-sample t test in this setting.

Short Answer

Expert verified

The selection of the sample is done through a simple random technique hence we should not carry out a one-sample t test in this setting.

Step by step solution

Introduction

A test statistic is a statistic utilized in statistical hypothesis testing. A hypothesis test is typically specified as far as a test statistic, considered as a numerical synopsis of an informational collection that decreases the information to one worth that can be utilized to play out the hypothesis test.

Explanation

Given,

$\begin{array}{lllllllll} 63.4 鈥呪赌呪赌呪赌� 65.0 鈥呪赌呪赌呪赌� 64.4 鈥呪赌呪赌呪赌� 63.3 鈥呪赌呪赌呪赌� 54.8 鈥呪赌呪赌呪赌� 64.5 鈥呪赌呪赌呪赌� 60.8 鈥呪赌呪赌呪赌� 49.1 鈥呪赌呪赌呪赌� 51.0 \end{array}$

We cannot carry out a one-sample t-test in this setting as a selection of the sample is done through a simple random technique and the sample size is $9$ which is less than $30$ . Hence the normality assumption is not satisfied.

Hence the selection of the sample is done through a simple random technique and we should not carry out a one-sample t test in this setting.