29, 1/S points Answer the following questions about confidence intervals (a) Wha

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29, 1/S points Answer the following questions about confidence intervals (a) What happens to a confidence interval as sample size increases, O The center of the interval increases, since the standard error decreases. O The width of the interval decreases, since the standard error decreases. O The center of the interval decreases, since the standard error increases. O The width of the interval increases, since the standard error increases. ! Previous Answers My Notes Ask Your everything else stays the same? (b) If we want to use a larger confidence level when creating a confidence interval for a population mean, which of the following happens to our confidence interval? O The interval gets narrower, since the standard error decreases. O The interval gets wider, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger O The interval gets wider, since the standard error decreases. O The interval gets narrower, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller (c) What does the margin of error in a confidence interval for a population mean describe? O It describes the difference between the sample mean and the population mean due to calculation errors by the researchers O It describes the difference between the sample mean and the population mean, due to taking non-random samples involving voluntary response or convenience sampling O It describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different O It describes how often researchers make a mistake due to response bias or non-response bias. (d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion? O For large random samples the sampling distribution of the sample proportion is approximately normal, O For large random samples the data distribution is approximately normal O The population distribution is normal for large samples. O For any n we use the t-distribution to get a confidence interval, and for large n the t-distribution looks like the standard normal distribution. (e) True or false: The confidence interval for a mean with a random sample of size n 2000 is invalid if the population distribution is bimodal. O True False

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29, 1/S points Answer the following questions about confidence intervals (a) What happens to a confidence interval as sample size increases, O The center of the interval increases, since the standard error decreases. O The width of the interval decreases, since the standard error decreases. O The center of the interval decreases, since the standard error increases. O The width of the interval increases, since the standard error increases. ! Previous Answers My Notes Ask Your everything else stays the same? (b) If we want to use a larger confidence level when creating a confidence interval for a population mean, which of the following happens to our confidence interval? O The interval gets narrower, since the standard error decreases. O The interval gets wider, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger O The interval gets wider, since the standard error decreases. O The interval gets narrower, since the t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller (c) What does the margin of error in a confidence interval for a population mean describe? O It describes the difference between the sample mean and the population mean due to calculation errors by the researchers O It describes the difference between the sample mean and the population mean, due to taking non-random samples involving voluntary response or convenience sampling O It describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different O It describes how often researchers make a mistake due to response bias or non-response bias. (d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion? O For large random samples the sampling distribution of the sample proportion is approximately normal, O For large random samples the data distribution is approximately normal O The population distribution is normal for large samples. O For any n we use the t-distribution to get a confidence interval, and for large n the t-distribution looks like the standard normal distribution. (e) True or false: The confidence interval for a mean with a random sample of size n 2000 is invalid if the population distribution is bimodal. O True False

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