Suppose you want to test H₀: ? $\ge$ 30 versus H₁: ? $\lt$ 30.Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject^H0 ^{in fa}^v^{or of}^H1^? A)x? = 28,S = 6 B)x? = 27,S = 4 C)x? = 32,S = 2 D)x? = 26,S = 9

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We need to choose the sample result that provides the strongest evidence to reject the null hypothesis in favor of the alternative hypothesis. Since the alternative hypothesis is that the population mean is less than F1F1F10, we need to look for a sample mean that is significantly lower than F1F1F10. Option B has x̄ = 27, which is 3 units lower than F1F1F10. Additionally, the standard deviation S = 4 indicates that the data is relatively tightly clustered around the mean, further strengthening the evidence against the null hypothesis. Therefore, option B gives us the strongest evidence to reject the null hypothesis.

Suppose You Want to Test H0 : ≥\ge≥ 30 Versus H1 :

Suppose You Want to Test H₀: $\ge$ 30 Versus H₁: