Sample standard deviation

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Consider the test H0 : μ = 35 vs. 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).

Reference no: EM13966163

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