Homework Answers
ANSWERS:
- The heights of all normal distributions are the same: FALSE
- The normal distribution is an example of a continuous probability distribution: TRUE
- We can use CLT for all combinations of sample sizes and distributions: FALSE
- A confidence interval is guaranteed to contain the true population parameter value : FALSE
- As we increase sample size , the margin of error will decrease for a confidence interval : TRUE
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6.) True or False Questions. If the statement is always true, write "True". If the statement...
Determine if the following statements are true or false, and explain your reasoning. If false, state...
Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. O true false (b) Decreasing the significance level (a) will increase the probability of making a Type 1 Error. false O true (c) Suppose the null hypothesis is u =...
True or False? The higher the confidence level, the narrower is the confidence interval for the...
True or False? The higher the confidence level, the narrower is the confidence interval for the mean. Select an answer The most efficient point estimator for the population mean ù is the sample median . Select an answer • To reduce the width of a confidence interval, we can increase the sample size n. Select an answer • As long as the population is normal with variance o’, the statistic (n-1) S2 has a Chi-squared 02 distribution with n degrees...
In the space provided write either “true” or “false.” If the statement is false then explain...
In the space provided write either “true” or “false.” If the statement is false then explain why. 1. A point estimate, also called a statistic, is a single value that describes the population of interest, with the sample mean being the most common. 2. The margin of error is the width of the confidence interval between the lower limit and the upper limit. 3. The alternative hypothesis represents the status quo and involves stating the belief that the population parameter...
(1) (10 points) Determine whether the following statements are True or False: (a) (2 points) In...
(1) (10 points) Determine whether the following statements are True or False: (a) (2 points) In a confidence interval (CI) for a population mean, the margin of error (MOE) is half the width of the CI. (i) True (ii) False (b) (2 points) If we constructed 1000 independent 90% CI's for a population mean u, then we'd expect about 900 of them to contain u (i) True (ii) False (c) (2 points) If we increase the sample size of SRS's,...
If I has a normal distribution, then 7 always has a normal distribution. True False Under...
If I has a normal distribution, then 7 always has a normal distribution. True False Under what condition does the sample mean ī not have a normal distribution? Population is not normal but the sample size n > 30. Population is not normal and sample size n <30. Population is normal. The Central Limit Theorem for a sample mean (@) is very important in Statistics because it states that for large sample sizes, the population distribution is approximately normal. for...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
6. Sampling Distributions Select which of the following is true and write why the remaining are...
6. Sampling Distributions Select which of the following is true and write why the remaining are false. d. The shape of the sampling distribution of all possible sample means is always bell-shaped. The shape of the sampling distribution of all possible sample means gets closer to the shape of the population distribution as the sample size gets large. e. f. The shape of the sampling distribution of all possible sample means gets approximately normal as the sample size gets large....
Determine whether the statement is true or false. If it is false, rewrite it as a...
Determine whether the statement is true or false. If it is false, rewrite it as a true statement If the size of a sample is at least 30, then you can use z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution Choose the correct choice below O A. This statement is true. B. This statement is false. A true statement is, "There is not any size of a sample that allows...
Mark the statement below as True or False. If you believe that the statement is false,...
Mark the statement below as True or False. If you believe that the statement is false, briefly explain why you think it is false. If both sample sizes are doubled, the chance that the null hypothesis is falsely rejected when using the two-sample t-test is reduced. Choose the correct answer below. A. The statement is false. If both sample sizes are doubled, the chance of incorrectly failing to reject of the null hypothesis when using the two-sample t-test is decreased....
problems 4, 5, 6, 11 and 13 If the population standard deviation was doubled to 10.4...
problems 4, 5, 6, 11 and 13
If the population standard deviation was doubled to 10.4 and the level of confidence remained at 90%, what would be the new margin of error and confidence interval Margin of error, E. Confidence interval: 20.11<x<34.31 O Did the confidence interval increase or decrease and why? increase 4. Definition of Confidence Intervals (Section 6.1) Circle your answer, True of False. • A 99% confidence interval means that there is a 99% probability that the...
Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. O true false (b) Decreasing the significance level (a) will increase the probability of making a Type 1 Error. false O true (c) Suppose the null hypothesis is u =...
True or False? The higher the confidence level, the narrower is the confidence interval for the mean. Select an answer The most efficient point estimator for the population mean ù is the sample median . Select an answer • To reduce the width of a confidence interval, we can increase the sample size n. Select an answer • As long as the population is normal with variance o’, the statistic (n-1) S2 has a Chi-squared 02 distribution with n degrees...
(1) (10 points) Determine whether the following statements are True or False: (a) (2 points) In a confidence interval (CI) for a population mean, the margin of error (MOE) is half the width of the CI. (i) True (ii) False (b) (2 points) If we constructed 1000 independent 90% CI's for a population mean u, then we'd expect about 900 of them to contain u (i) True (ii) False (c) (2 points) If we increase the sample size of SRS's,...
If I has a normal distribution, then 7 always has a normal distribution. True False Under what condition does the sample mean ī not have a normal distribution? Population is not normal but the sample size n > 30. Population is not normal and sample size n <30. Population is normal. The Central Limit Theorem for a sample mean (@) is very important in Statistics because it states that for large sample sizes, the population distribution is approximately normal. for...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
6. Sampling Distributions Select which of the following is true and write why the remaining are false. d. The shape of the sampling distribution of all possible sample means is always bell-shaped. The shape of the sampling distribution of all possible sample means gets closer to the shape of the population distribution as the sample size gets large. e. f. The shape of the sampling distribution of all possible sample means gets approximately normal as the sample size gets large....
Determine whether the statement is true or false. If it is false, rewrite it as a true statement If the size of a sample is at least 30, then you can use z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution Choose the correct choice below O A. This statement is true. B. This statement is false. A true statement is, "There is not any size of a sample that allows...
problems 4, 5, 6, 11 and 13
If the population standard deviation was doubled to 10.4 and the level of confidence remained at 90%, what would be the new margin of error and confidence interval Margin of error, E. Confidence interval: 20.11<x<34.31 O Did the confidence interval increase or decrease and why? increase 4. Definition of Confidence Intervals (Section 6.1) Circle your answer, True of False. • A 99% confidence interval means that there is a 99% probability that the...
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