1. What is the difference between a z-test and a 1-sample t-test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. What is the difference between a z-test and a 1-sample t-test?
2. What is the relationship between a chosen level of confidence for a confidence
interval and how wide that interval is? For instance, if you move from a 95% CI to a
90% CI, what happens? Hint: look at the t-table to see how critical values change when
you change levels of significance.
3. You hear a lot of talk about increasing global temperature, so you decide to see for
yourself if there has been an actual change in recent years. You know that the average
land temperature from 1951-1980 was 8.79 degrees Celsius. You find annual average
temperature data from 1981-2017 and decide to construct a 99% confidence interval
(because you want to be as sure as possible and look for differences in both directions,
not just one) using this data to test for a difference from the previous average.
4. You are curious about how people feel about craft beer, so you gather data from 55
people in the city on whether or not they like it. You code your data so that 0 is neutral,
positive scores indicate liking craft beer, and negative scores indicate disliking craft
beer. You find that the average opinion was
= 1.10 and the spread was s = 0.40, and
you test for a difference from 0 at the α = 0.05 level.
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