3.5.6. How large should the size ofa random sample be so that we can be 90%...
mu = 90, sigma = 1.5 how large should the sample size be, to detect a shift in mu to 91?
The sample mean X is to be used to estimate the mean μ ofa normal distribution with standard deviation 4 inches. How large a sample should be taken in order that, with 90% probability, the estimate will be in error by at most one-half inch? n. 1 The sample mean X is to be used to estimate the mean μ ofa normal distribution with standard deviation 4 inches. How large a sample should be taken in order that, with 90%...
An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=13 and determine the required sample size using technology. Then determine if this is a reasonable sample size for...
Please use R, and show R code. Thanks I X. X, are ii.d. from Unif[0, 1], how large should n be so that P(IX 1/2l < 0.05) > 0.90, that is, there is at least a 90% chance that the sample mean is within 0.05 of 1/2? Use the CLT approximation. I X. X, are ii.d. from Unif[0, 1], how large should n be so that P(IX 1/2l 0.90, that is, there is at least a 90% chance that the...
A random sample of size 90 is selected from a population of over 2,000 students. The sample is measured on an achievement test and the mean score on the test is 79.5. The difference between the sample mean and the population mean is due to: sampling bias sampling error the sampling fraction sampling stratification Sampling bias is variation caused by random fluctuation. True False
2. (a) [5 points] Suppose that we take a random sample of size 12 from a population x for which X is normally distributed with mean m= 17 and the variance is unknown, but with sample variance s = 49. What is the distribution of 2(x - 17), ""?? Justify each part of your answer as well as you can. (b) [5 points) Suppose that we take a random sample of size 36 from a population x with mean w...
X i , x , X" be a random sample of size n from an exponential distribution with mean ? a) For large sample size, construct a 95% confidence interval for ?? b) If n 30, x 90, give the endpoints for a 90% CI for ?
A certain population is bimodal. We want to estimate its mean, so we will collect a sample. Which should be true if we use a large sample rather than a small one? 1) The distribution of our sample data will be more clearly bimodal 2) The sampling distribution of the sample means will be approximately normal 3) The variability of the sample means will be smaller A. 1 only B. 2 & 3 C. 3 only D. 1,2 & 3...
1. A random sample of 29 BSN nurses at a large Michigan hospital have the average (mean) hourly wage of $37.55 with the standard deviation of $4.66. If we want a 99% confidence interval to have a margin of error of no more than $3, what is the minimum required sample size we should take? (Hint: use t*=2.7633) 2. A test of the hypotheses H0: mu=17 vs. Ha: mu >17 is conducted. Sample data of n=30 cases provides x-bar=14 with...
1. A random sample of 29 BSN nurses at a large Michigan hospital have the average (mean) hourly wage of $37.55 with the standard deviation of $4.66. If we want a 99% confidence interval to have a margin of error of no more than $3, what is the minimum required sample size we should take? (Hint: use t*=2.7633) 2. A test of the hypotheses H0: mu=17 vs. Ha: mu >17 is conducted. Sample data of n=30 cases provides x-bar=14 with...