Calculate and report the standard error for the sampling distribution of (the difference between two means) given the following information: n2 500 19 %3D S2 n1 = 400 S1 = 15 %3D %3D
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- The proportion of students at a large high school who live within five miles of the school is p = 0.19. The principal takes a random sample of 17 students from this school. Which is the best description of the shape for the sampling distribution of ? The sampling distribution of is approximately Normal because . Because , the sampling distribution of is not approximately Normal. The sampling distribution of is skewed left and centered at 0.81. Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the left. Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the right.In each situation, find the value of the t-statistic for the sample mean x and give the value of degrees of freedom (df). (a) x = 6, µ = 12, o = 24, n = 25 t = df = (b) x = 18, u = 12, o = 24, n = 25 t = df =For the sampling distribution of sample proportions, if np>5 and nq>5 then the mean of the distribution is the population proportion. True False
- Suppose the true proportion of voters in the county who support a school levy is 0.53. Consider the sampling distribution for the proportion of supporters with sample size n = 101.What is the mean of this distribution? What is the standard error of this distribution?correct answers for part C.Find the mean and variance for the binomial distribution, Sample size (n) = 22 and P=0.28
- What happens to the t-distribution as the sample size increases?3. In a sampling experiment s₁ = 3-6, s₂ = 2.0 and v₁ = 5, v₂ = 10. Is the difference between s₁ and s2 significant at the percent level?The following data represent the responses (Y for yes and N for no) from a sample of 20 college students to the question "Do you currently own shares in any stocks?" N Y N N N N Y N N N N N N N N N Y N N Y a. Determine the sample proportion, p hat, of college students who own shares of stock. b. If the population proportion is 0.35, determine the standard error of the proportion. a. p hat= b. S.E. p hat=