A sample size 15 will be drawn from a population with mean 125 and standard deviation 28. It is appropriate to use the normal distribution to find the probabilities for x? Justify your answer

Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.   GPA-Night GPA-Day 3.05 3.38 2.91 3.02 3.27 3.4 3.29 2.73 3.3 3.24 3.35 2.69 3.39 3.25 3.52 3.33 3.39 2.33 3.25 3.51 3.08 3.07 3.27 2.9 3.32 3.48 3 2.94 3.62 2.93 3.64 3.31 3.54 2.62 3.45 2.66 3.29 3.27 3.56 2.76 3.15 2.7 3.4 3.27 3.51 2.96 3.54 2.86   3.24   2.72   2.64   3.14   What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: Select an answer x̅₂ s² x̅₁ σ² μ₂ μ₁ p   ? = ≠ > < ≥ ≤  Select an answer 0 μ₂ x̅₂ x̅₁ σ² p s² μ₁ H1: Select an answer σ² x̅₂ x̅₁ μ₁ μ₂…

What is the z-score of x = 3 if it is 2 standard deviation to the left of the mean? -3 -2 1 O 2 1.