The SD of two samples of size 10 and 14 from two normal population are 3.5...

The SD of two samples of size 10 and 14 from two normal population are 3.5 and 3 respectively. Examine whether the SD of the population equal?

Expert Solution

orchestra answered 2 years ago

A random sample of size n1 = 14 is selected from a normal population with a...

A random sample of size n1 = 14 is selected from a normal population with a mean of 74 and a standard deviation of 6. A second random sample of size n2 = 9 is taken from another normal population with mean 70 and standard deviation 14. Let X¯1and X¯2 be the two sample means. Find: (a) The probability that X¯1-X¯2 exceeds 3. (b) The probability that 4.4 ≤X¯1-X¯2≤ 5.4.

Assume that the two samples are from a normal population. Please perform a t test for...

Assume that the two samples are from a normal population. Please perform a t test for the differences in sample averages, indicating whether it is significant to 95% confidence (0.05 significance) using one and/or two sided. Assume that the population standard deviation is unknown but presumed equal. Show one-sided and two-sided actual Probability and Critical values using hand calculations and Excel A 25 24 15 20 21 23 25 28 35 34 B 15 11 14 23 24 20 22...

A random sample of size 23 is drawn from a population with mean 460 and SD...

A random sample of size 23 is drawn from a population with mean 460 and SD unkown. The sample average and SD(s) are 465 and 13, respectively. find the probability that another sample average will be more than 465 . 1. 0.10 2. 0.01 3. 0.005 4. 0.05

Suppose samples of size 100 are drawn randomly from a population of size 1000 and the...

Suppose samples of size 100 are drawn randomly from a population of size 1000 and the population has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 21?

A random sample with replacement of size 100 is drawn from a population with mean 3.5...

A random sample with replacement of size 100 is drawn from a population with mean 3.5 and standard deviation 3. Use the normal approximation to calculate the probability that the sample average is between 3 and 4. Round your answer to three decimal places.

a) If random samples of size 12 are drawn from a population with mean 7 and...

a) If random samples of size 12 are drawn from a population with mean 7 and standard deviation 2 , find the standard error of the distribution of sample means. b) Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with 0.025 beyond them in each tail if the sample has size n=26. c) Assume the sample is a random...

The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 6,...

The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 6, 5. a. What is the point estimate of the population mean? b. What is the point estimate of the population standard deviation (to 2 decimals)? c. With 95% confidence, what is the margin of error for the estimation of the population mean (to 1 decimal)? d. What is the 95% confidence interval for the population mean (to 1 decimal)? ( , )

The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 7,...

The following sample data are from a normal population: 10, 9, 12, 14, 13, 11, 7, 4. a. What is the point estimate of the population mean? b. What is the point estimate of the population standard deviation (to 2 decimals)? c. With 95% confidence, what is the margin of error for the estimation of the population mean (to 1 decimal)? d. What is the 95% confidence interval for the population mean (to 1 decimal)? ( , )

14. A sample of size 144 is taken from a population with an unknown distribution. It...

14. A sample of size 144 is taken from a population with an unknown distribution. It is known that the population distribution has mean 32 and standard deviation 15. (A)What is the distribution of the sample means x̄ ? Justify your reasoning and be sure to completely specific the distribution by stating values of the appropriate parameters. (B) Compute P( x̄ ≥ 34). You may only use the z-score approach and the probabilities provided in Table A. (C) How large...

1a. Consider two samples from the same population. Sample A has size n=500 and Sample B...

1a. Consider two samples from the same population. Sample A has size n=500 and Sample B has size n = 200. Indicate whether each of the following statements is true or false. We would expect Sample A to have a larger mean than Sample B. We would expect the mean of Sample A will be closer to the population mean than the mean of Sample B. We would expect the 95% confidence interval (CI) based on Sample A will have...

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