4.2.16. Assume a binomial model for a certain randon variable. If we desire a 90% confidence...
1. Determine whether or not the random variable X is a binomial randon variable. If so give the values of n and p. If not, explain why not. a. X is the number of dots on the top face of fair die that is rolled. b. X is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck c. X is the number of defective parts in a sample of ten randomly selected parts...
1. In simple linear regression analysis, we assume that the variance of the independent variable (X) is equal to the variance of the dependent variable (Y) True False 2. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation. True False 3. If n=20 and p=.4, then the mean of the binomial distribution is 8 True False 4. If a population is known to be normally distributed, then it follows that...
*ANSWER USING R-SCRIPT* We desire to know the probability that a voter supports a controversial rose proposal. From a random sample of 3100, x =1331 voters support the rose proposal. Let phat be the sample proportion supporting the rose proposal. Answer the following: a) what is the variance of p hat b) As a function of p, what is the standard deviation of p hat c) Calculate p hat d) Let ptot be the random variable representing the voters in...
a) Find n for a 90% confidence interval for p with bound on the error of estimation (margin of error) = 0.038 using an estimate of p = 0.7. (Round up to the nearest whole number.) NOTE: If you have the 98% or the 99% confidence interval for this question, PLEASE READ THE INSTRUCTIONS at the top of the assignment. b) Find the conservatively large value for n using the same confidence interval and bound on the error of estimation...
Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 279 with 38% successes. Enter your answer as an open - interval (i.e., parenthesis) using decimals (not percents) accurate to three decimal places. Confidence Interval = ______________.
Assume that we want to construct a confidence interval. Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value ta/2, (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies Here are summary statistics for randomly selected weights of newborn girls: n hg. The confidence level is 95%. 269, x 32.9 hg, s 6.2 Select the correct choice below and,...
Recall the formula for a proportion confidence interval is p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n????????? Thus, the margin of error is E=zp^(1?p^)n????????? . NOTE: the margin of error can be recovered after constructing a confidence interval on the calculator using algebra (that is, subtracting p^ from the right endpoint.) In a simple random sample of size 59, taken from a population, 20 of the individuals met a specified criteria. a) What is the margin of error for a 90% confidence interval for p, the population...
Kim wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. How large of a sample must she have to get a margin of error less than 0.02? [Note that you don't have an estimate for p*!] [Round to the smallest integer that works.] n =
If n=16, ū=35, and s=13, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. *<u<
Let N be a binomial random variable with p = 0.2 and n = 10. We roll a fair die N times, let X be the number of times we roll the number 1. Find the joint probability mass function of N and X.