We know that the sample size is inversely proportional to the square of effect size (or precision). The formula is:
Hence, if the precision is changed from D to D/15 (precision improves or error decreases), The sample size needed to do the same is:
Hence, the sample size needs to be increased 225 times the original sample size to increase the precision 15 folds.
33. What sample size would you need in order to increase the precision of your estimate by 15-fold? Mean 6.118 Variance-1.235 Standard Deviation-1.174 33. What sample size would you need in...
The point estimate of the population mean is $62,339. Sample size 350. Standard deviation 19331.91502 Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
What is the best point estimate for the population's standard deviation if the sample variance is 29.5? Round your answer to one decimal place, if necessary.
What is the best point estimate for the population's standard deviation if the sample variance is 6.1 ? Round your answer to one decimal place, if necessary.
The mean is 44.8 and the standard deviation is 16.2 for a population. Using the Central Limit Theorem, what is the variance of the distribution of sample means for samples of size 50? Please round your answer to the nearest tenth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
1. What sample size is needed to estimate the mean white blood cell count (in cells per (1 poin microliter) for the population of adults in the United States? Assume that you want 99% confidence that the sample mean is within 0.2 of population mean. The population standard deviation is 2.5. O 601 1036 O 1037 O 33 2. The sample space of a population being researched contains 58 values and a mean of 318.6. (point The population has a...
Suppose that you are wanting to estimate the mean of a population in which the standard deviation, , is known to be 5. You take a random sample of size n=50 from the population and determine that the mean of the sample is 22.4. a. What is the standard error (of the mean) to two decimal places? b. If you wanted 94% confidence in your results, then what would be the maximum allowable error (error of the estimate), E, to...
What do the variance, S.E., or standard deviation estimates tell you about your population that the mean does not tell you? Why is it important to report some measure of variation, along with the sample size, whenever you report a calculated mean?
A certain population has a mean of 521 and a standard deviation of 33. Many samples of size 52 are randomly selected and the means calculated. (a) What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.) (b) What value would you expect to find for the standard deviation of all these sample means? (Give your answer correct to two decimal places.) (c) What shape would you...
In order to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=54.7. You would like to be 99% confident that your estimate is within 3 of the true population mean. How large of a sample size is required? I did: 99%= 2.575 for z-score so, ((2.575)(54.7)/.03) ^2 But I don't seem to get the correct answer. Can someone show me how to do this step by step, thank...
Consider a family of four people, aged 8, 10, 33, and 37 as a population a) Calculate the population variance and standard deviation for the ages. Show your work step by step b) Random samples of size two are drawn with replacement from this population and their ages are recorded Find the variance and standard deviation for each sample (using the formula that involves divisions by n-1) and fill in the 3rd and 4th columns of the table Find the...