Consider the test H0 35 versus Ha 35 for a population that is normally distributed (a) A random sample of 18 observations taken from this population produced a sample mean of 40 and a sample standard deviation of 5 Using 0 025, would you reject the null hypothesis (b) Another random sample of 18 observations produced a sample mean of 36 8 and a sample standard deviation of 6 9 Using 0 025, would you reject the null hypothesis (c) Compare and discuss the decisions of parts (a) and (b)

Question: Consider the test H0: = 35 versus Ha: > 35 for a population that is normally distributed. (a) A random sample of 18

Consider the test H0: μ = 35 versus Ha: μ > 35 for a population that is normally distributed.
(a) A random sample of 18 observations taken from this population produced a sample mean of 40 and a sample standard deviation of 5. Using α = 0.025, would you reject the null hypothesis?
(b) Another random sample of 18 observations produced a sample mean of 36.8 and a sample standard deviation of 6.9. Using α = 0.025, would you reject the null hypothesis?
(c) Compare and discuss the decisions of parts (a) and (b).

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