You have data drawn from a normal distribution with a known variance of 16. You set up the following NHST: • Ho: data follows a N(2, 4²) • HA: data follows a N(μ, 42) where μ ‡ 2. fl Test statistic: standardized sample mean z. Significance level set to a = .05. You then collected n = 16 data points with sample mean 1.5. (a) Find the rejection region. Draw a graph indicating the null distribution and the rejection region. (b) Find the z-value and add it to your picture in part (a). (c) Find the p-value for this data and decide whether or not to reject Ho in favor of HA.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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You have data drawn from a normal distribution with a known variance of 16. You set up
the following NHST:
• Ho: data follows a N(2, 4²)
• HÃ: data follows a N(µ, 4²) where µ ‡ 2.
Test statistic: standardized sample mean z.
Significance level set to a = .05.
You then collected n = 16 data points with sample mean 1.5.
(a) Find the rejection region. Draw a graph indicating the null distribution and the rejection
region.
(b) Find the z-value and add it to your picture in part (a).
(c) Find the p-value for this data and decide whether or not to reject Ho in favor of HA.
Transcribed Image Text:You have data drawn from a normal distribution with a known variance of 16. You set up the following NHST: • Ho: data follows a N(2, 4²) • HÃ: data follows a N(µ, 4²) where µ ‡ 2. Test statistic: standardized sample mean z. Significance level set to a = .05. You then collected n = 16 data points with sample mean 1.5. (a) Find the rejection region. Draw a graph indicating the null distribution and the rejection region. (b) Find the z-value and add it to your picture in part (a). (c) Find the p-value for this data and decide whether or not to reject Ho in favor of HA.
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