3. A random sample of 25 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the critical and observed values of t for each of the following tests of hypothesis using a = 0.01. a) H₂:μ = 55 H„:μ > 55 b) H₂=55 Ha: #55

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3. A random sample of 25 observations taken from a population that is normally distributed produced a
sample mean of 58.5 and a standard deviation of 7.5. Find the critical and observed values of t for each
of the following tests of hypothesis using a = 0.01.
a) Ho:μ = 55
b) H₂:μ = 55
Ha: μ > 55
Ha:μ # 55
SO
Transcribed Image Text:3. A random sample of 25 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the critical and observed values of t for each of the following tests of hypothesis using a = 0.01. a) Ho:μ = 55 b) H₂:μ = 55 Ha: μ > 55 Ha:μ # 55 SO
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