Suppose that you have a sample of 100 values from a population with mean ? = 500 and with standard deviation ? = 80. a. What is the probability that the sample mean will be in the interval (490, 510)? b. Give the interval that covers the middle 95% of the sample mean, using the zscore table.
Suppose that you have a sample of 100 values from a population with mean ? =...
Suppose you have a sample size of 36 with a mean 79 and a population standard deviation of 8. Based on this, construct a 99% confidence interval for the true population mean. As in the reading, in your calculations: --Use z = 1.645 for a 90% confidence interval --Use z = 2 for a 95% confidence interval --Use z = 2.576 for a 99% confidence interval. Give your answers as decimals, to two places [ , ] A group of...
1. Suppose you have a sample of size 100 with mean 5 and standard deviation 2. Construct a 95% confidence interval for the population mean. 2. For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 210 grams and the standard deviation 18 grams. Calculate a 90% confidence interval for the true mean breaking strength of cotton threads of this type.
QUESTION 12 A sample of size 100 is chosen from a population. The sample mean is 100 and the standard deviation is 15. Find the upper limit of the 95% confidence interval for the population mean. Round off to three decimal places
In the EAI sampling problem, the population mean is $51, 100 and the population standard deviation is $4,000. When the sample size is n 20, there is a 0.4238 probability of obtaining a sample mean within ±$500 of the population mean. Use z-table. a. What is the probability that the sample mean is within $500 of the population mean if a sample of size 40 is used (to 4 decimals)? b. What is the probability that the sample mean is within $500...
1) A sample of size 25 is chosen from a population. Assume the probability distribution is normal. If the mean of the sample is 80 and the standard deviation is 6, find the lower bound of the 99% confidence interval. Round off to three decimal places. 2) A sample of size 36 is chosen from a population. The sample mean is 50 and the standard deviation is 5. Find the upper limit of the 95% confidence interval for the population...
Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the probability of making a Type 2 error? How large a sample size would you need to have power of 80% in a one-sided test?
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard deviation ơ 20. [2] The mean of the sample means": and the standard deviation ơi of the sample means are respectively a. 98, 18 b. 100, 20 c. 100,5 d. impossible to determine (ii) [1] Approximately what is the probability that the sample mean is between 95 and 105? a. 0.6826 b. 0.1974 c. 0.5861 d. 0.9876 (ii) [1] what must be true regarding...
A population has a mean of 200 and a standard deviation of 80. Suppose a sample of size 100 is selected and x̅ is used to estimate μ. a. What is the probability that the sample mean will be within +/- 9 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +/- 14 of the population mean (to 4 decimals)?
Video A population has a mean of 200 and a standard deviation of 80 . Suppose a sample of size 100 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within +9 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probablity that the sample mean will be within 13 of the population mean (to 4...
A population has a mean of 300 and a standard deviation of 80. Suppose a sample of size 10 is selected and x̅ is used to estimate . Use z-table. a. What is the probability that the sample mean will be within +/-4 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +/- 13of the population mean (to 4 decimals)?