Question: You know the sample mean of n observations Once
You know the sample mean of n observations. Once you know (n - 1) of the observations, show that you can find the remaining one. In other words, for a given value of , the values of (n - 1) observations determine the remaining one. In summarizing scores on a quantitative variable, having (n - 1) degrees of freedom means that only that many observations are independent. (If you have trouble with this, try to show it for n = 2, for instance showing that if you know that = 80 and you know that one observation is 90, then you can figure out the other observation. The df value also refers to the divisor in s2 = ∑(x - )2/(n - 1).)
Relevant QuestionsThe large-sample confidence interval for a proportion substitutes p̂ for the unknown value of p in the exact standard error of p̂. A less approximate 95% confidence interval has endpoints determined by the p values that ...In the 2008 General Social Survey, respondents were asked if they favored or opposed the death penalty for people convicted of murder. Software shows results Here, X refers to the number of the respondents who were in ...In the previous exercise, suppose the same proportions resulted from n = 140 (instead of 1400), with counts 66 and 74. a. Now does a 95% confidence interval allow you to predict the winner? Explain. b. Explain why the same ...When the GSS asked in 2004, “About how many hours per week do you spend sending and answering e-mail?” the results were as shown in the TI – 83 + /84 screen shot. Explain how to interpret the information shown, and ...Find the margin of error for estimating the population mean when the sample standard deviation equals 100 for a sample size of 400, using confidence level (i) 95% and (ii) 99%. What is the effect of the choice of confidence ...
Post your question