The options below give information about three different distributions and samples taken from them:
I. Population approximately normally distributed, population standard deviation known, sample size n=10
II. Population approximately normally distributed, population standard deviation unknown, sample size n=10
III. Population distribution skewed right, population standard deviation unknown, sample size n=50
Which of these three samples could be used to create a confidence interval for the mean of the respective population? You may assume that the population sizes are all greater than 500 and that the samples have been taken randomly.
I and III only
I and II only
I, II, and III
III only
I only
All I, II and III are correct because confidence interval can be constructed in all such cases.
Option C is correct.
The options below give information about three different distributions and samples taken from them: I. Population...
12. Provide an appropriate response. Samples of size n- 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances? O normal (approximately) O skewed to the right O skewed to the left O not enough information provided 13. Choose the correct response. ( point) Why is sampling without replacement acceptable with a large population? When a small...
Random samples of size 55 are taken from a normally distributed population that has 425 elements, a population mean of 20, and a population standard deviation of 7. What is the standard deviation of the sampling distribution of the sample means?
2. Fill this table with the appropriate critical values from the normal (z) or Student'st(t) distributions, or indicate that none of these is applicable: Confidence level Population Sample size N standard deviation Distribution shape Z critical T critical 95% Unknown Normal Unknown Normal Known Skewed Known Skewed Unknown Normal 90% Skewed 98% Normal 98% Unknown Normal
If random samples of size n = 36 are drawn from a nonnormal population with finite mean = 75 and standard deviation = 15, then the sampling distribution of the sample mean is approximately normally distributed with mean = 75 and standard deviation = 2.5. Select one: O a. False O b. True
A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5. In a test of Ho: u = 5 vs. Ha: u < 5, if the sample mean was 4, which of the following is true? (i) We would reject the null hypothesis at a =0.01. (ii) We would reject the null hypothesis at a = 0.05. (iii) We would reject the null hypothesis at a = 0.10. O only (i) O only (iii)...
Suppose that a random sample of size 1 is to be taken from a finite population of size N. Answer parts (a) through (c) below. a. How many possible samples are there? A. N + 1 B. N-1 0 C. N D. 1 b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration. Choose the correct answer below. A. Each possible sample mean is equal to an observation, only if the population...
A simple random sample of size n 43 is obtained from a population that is skewed left with = 54 and 06. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No. The central limit theorem states that only if the...
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...
Consider the following results for two samples randomly taken from two normal populations with equal variances. Sample I Sample II Sample Size 28 35 Sample Mean 48 44 Population Standard Deviation 9 10 a. Develop a 95% confidence interval for the difference between the two population means. b. Is there conclusive evidence that one population has a larger mean? Explain.
Over the past year, the number of riders (X) of a local bus route varied with a mean daily ridership of 956.3 and a standard deviation of 18.7. Use the above preamble to answer the following i) If samples of size n = 100 days are to be taken from the past year, describe the sampling distribution of the sample mean for these samples of size n = 100 days. Is the sampling distribution normally distributed? ii) If samples of...