Explain the role of n, the sample size, in determining the size of a generated confidence...
Explain the role of n, the sample size, in determining the size of a generated confidence interval when using hypothesis tests with means of samples.
I know the short answer but I need some ideas to make this into a longer essay-like answer.
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Explain the role of n, the sample size, in determining the size
of a generated confidence...
Consider a 90% confidence interval for µ not known. For which sample size, n = 10...
Consider a 90% confidence interval for µ not known. For which sample size, n = 10 or n = 20, is the confidence interval longer? Critical Thinking Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know α, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Was her interval longer or shorter than one obtained by using an...
In this exercise, we examine the effect of the confidence level on determining the sample size...
In this exercise, we examine the effect of the confidence level on determining the sample size needed. Find the sample size needed to give a margin of error within plus or minus 4 with 99% confidence. With 95% confidence. With 90% confidence. Assume that we use σ=35 as our estimate of the standard deviation in each case. Round your answers up to the nearest integer. 99% n= 95%n= 90% n=
A sample of size n = 89 has sample mean x̄ = 87.2 and sample standard...
A sample of size n = 89 has sample mean x̄ = 87.2 and sample standard deviation s = 5.3. Construct a 95% confidence interval for the population mean ?. b. If the confidence level were 99%, would the confidence interval be narrower or wider? ( I am having trouble figuring out how the t-critical value of 1.963 is calculated as the answer for (a) and t-critical value for b) It does not make sense to me. Can someone explain?
True or False. (Determining sample size n for the purpose of estimating mean) For a specified...
True or False. (Determining sample size n for the purpose of estimating mean) For a specified sampling error (SE) and given population standard deviation, increase in the confidence level (1-alpha) will lead to a larger sample sizen. True False True or False The smaller the p-value associated with a test of hypothesis, the stronger the support for the research hypothesis. True False
Can someone explain how to find the answer? Construct the indicated confidence interval for the difference...
Can someone explain how to find the answer?
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the 85% confidence interval for μ1-μ2 X1-958, x2-157, s1 77, s2-88 ○ A. 791 <...
Question Completion Status: QUESTION TZ A sample of size 18 is drawn from a population with...
Question Completion Status: QUESTION TZ A sample of size 18 is drawn from a population with standard deviation 2.3. Calculate the standard error of the mean. Round your answer to 2 decimal points if needed. QUESTION 13 Suppose ACME corporation is trying to test if their new propane gas tank lasts longer than the 20 hours their previous model lasted. Which one of the following is a correctly stated hypothesis? A HT: 220 OB, Ho: 220 c. Ho: u >...
true or false 11. When the level of confidence and the sample size remain the same,...
true or false
11. When the level of confidence and the sample size remain the same, a confidence interval for a population mean y will be narrower, when the sample standard deviation s is smaller than when s is larger. Chapter 10 12. The closer is the hypothesized mean is from the actual mean the higher is the power of the test. 13. The manager of the quality department for a tire manufacturing company wants to know the average tensile...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
a random sample of size n 200 is taken and the sample proportion p = 0.21
Pg 417 6.47 For a hypothesis test H0: p = 0.3 Ha: p < 0.3 a random sample of size n 200 is taken and the sample proportion p = 0.21 (a) Determine whether it is appropriate to use the normal distribution to estimate the p-value. (b) If it is appropriate to use a normal distribution, complete the test for a significance level of 5% Pg 418 6.55 Home Field in Baseball 2009 There were 2430 Major League Baseball games played in 2009, and the home team won the...
When is unknown and the sample is of size n 230, there are two methods for...
When is unknown and the sample is of size n 230, there are two methods for computing confidence intervals for u. (Notice that, When is unknown and the sample is of size n<30, there is only one method for constructing a confidence interval for the mean by using the student's t distribution with d.f. = n - 1.) Method 1: Use the Student's t distribution with d.f. = n - 1. This is the method used in the text. It...
True or False. (Determining sample size n for the purpose of estimating mean) For a specified sampling error (SE) and given population standard deviation, increase in the confidence level (1-alpha) will lead to a larger sample sizen. True False True or False The smaller the p-value associated with a test of hypothesis, the stronger the support for the research hypothesis. True False
Can someone explain how to find the answer?
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the 85% confidence interval for μ1-μ2 X1-958, x2-157, s1 77, s2-88 ○ A. 791 <...
Question Completion Status: QUESTION TZ A sample of size 18 is drawn from a population with standard deviation 2.3. Calculate the standard error of the mean. Round your answer to 2 decimal points if needed. QUESTION 13 Suppose ACME corporation is trying to test if their new propane gas tank lasts longer than the 20 hours their previous model lasted. Which one of the following is a correctly stated hypothesis? A HT: 220 OB, Ho: 220 c. Ho: u >...
true or false
11. When the level of confidence and the sample size remain the same, a confidence interval for a population mean y will be narrower, when the sample standard deviation s is smaller than when s is larger. Chapter 10 12. The closer is the hypothesized mean is from the actual mean the higher is the power of the test. 13. The manager of the quality department for a tire manufacturing company wants to know the average tensile...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
When is unknown and the sample is of size n 230, there are two methods for computing confidence intervals for u. (Notice that, When is unknown and the sample is of size n<30, there is only one method for constructing a confidence interval for the mean by using the student's t distribution with d.f. = n - 1.) Method 1: Use the Student's t distribution with d.f. = n - 1. This is the method used in the text. It...
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