In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term n adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the norma hippocampal volume is approximately normal with no outliers and x = 8.02 cm and s= 0.7 cmº. Conduct the appropriate test at the a = 0.01 k State the null and alternative hypotheses. Họ: H (Type integers or decimals. Do not round.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The null hypothesis can be defined as the hypothesis of no difference or equality, while the alternative hypothesis can be defined as the claim we are testing.
In this case, a test is required to see whether the average volume is less than9.02. Here, the claim implies that the "less than" sign should be used as part of the alternative hypothesis H1. Thus, the null and alternative hypothesis can be written as:
H0 : u = 9.02
H1 : u < 9.02
This corresponds to a left-tailed test.
A t-test for one mean, with an unknown population standard deviation, will be used.
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