Please answer true/false for each: a. If creating a confidence interval for a population mean from a single sample, doubling the sample size will approximately halve the margin of error (i.e. the width) of the confidence interval. b. “Power” is the likelihood that we will conclude that the population means are the same when in fact they are. c. If in testing a hypothesis we choose α = 0.05, then there is up to a 5% chance we might make a Type I error if we decide to accept HA: μ1 ≠ μ2 d. For a sample of some fish of a certain type, we find the mean length and standard deviation and we find the resulting 90% confidence interval of (17.8, 22.2), thus we are 90% confident that the sample mean is between 17.8 and 22.2

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please answer true/false for each:

a. If creating a confidence interval for a population mean from a single sample, doubling the sample size will approximately halve the margin of error (i.e. the width) of the confidence interval.

b. “Power” is the likelihood that we will conclude that the population means are the same when in fact they are.

c. If in testing a hypothesis we choose α = 0.05, then there is up to a 5% chance we might make a Type I error if we decide to accept HA: μ1 ≠ μ2

d. For a sample of some fish of a certain type, we find the mean length and standard deviation and we find the resulting 90% confidence interval of (17.8, 22.2), thus we are 90% confident that the sample mean is between 17.8 and 22.2.

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