Chapter 6 explores confidence intervals using both the z-distribution and the t-distribution. We know that we use the z-distribution when we have the population standard deviation O, and we use tl t-distribution when we do not have the population standard deviation (but we can calculate the sample standard deviation, S). As the sample size increases, it becomes closer to the population size (mak sense, right?). This means that the t-distribution will become closer to the z-distribution (because the sample standard deviation will become closer to the population standard deviation). Since it is very rare to actually have the population's standard deviation, we typically have to use the t-distribution when creating confidence intervals. Answer the following questions for this discussion: h. Construct a 95% confidence interval for the population mean given that X=25, n=51, ands=5. Write a conclusion for this interval (what does it represent?). 2. Suppose students are creating a confidence interval for the population mean using the same statistics from question 1. Erin is using a 90% confidence level and Robert is using a 99% confidence level. Who will create wider interval? Explain why without actually performing the calculations.

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O Cluster B Person x
O Cluster C Person x
O Famous People
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Chapter 6 explores confidence intervals using both the z-distribution and the t-distribution. We know that we use the z-distribution when we have the population standard deviation O, and we use the
t-distribution when we do not have the population standard deviation (but we can calculate the sample standard deviation, S). As the sample size increases, it becomes closer to the population size (makes
sense, right?). This means that the t-distribution will become closer to the z-distribution (because the sample standard deviation will become closer to the population standard deviation). Since it is very
rare to actually have the population's standard deviation, we typically have to use the t-distribution when creating confidence intervals.
Answer the following questions for this discussion:
1. Construct a 95% confidence interval for the population mean given that X = 25, n=51, and S=5. Write a conclusion for this interval (what does it represent?).
2. Suppose students are creating a confidence interval for the population mean using the same statistics from question 1. Erin is using a 90% confidence level and Robert is using a 99% confidence level.
Who will create a wider interval? Explain why without actually performing the calculations.
Priv
創 C
回 & 凶
Transcribed Image Text:6 Login for Medaill x h Cluster A Person x O Cluster B Person x O Cluster C Person x O Famous People O Login for Medaill x O Login for Medaill x A Content A medaille.dcollege.net/ultra/courses/_28397_1/cl/outline?legacyUrl=%252Fwebapps%252Fgradebook%252Fdo%252Fstudent%252 Uber Organıze Forum Threads on this page and apply settings to several or all threads. Threads are listed in a tabular format. The Threads can be sorted by clicking the co Help Ready to ride? Here's what to expect This is a 'post-first' discussion forum. There is currently 1 thread in this forum. Join the conversation by creating a thread! Create Thread FORUM DESCRIPTION Chapter 6 explores confidence intervals using both the z-distribution and the t-distribution. We know that we use the z-distribution when we have the population standard deviation O, and we use the t-distribution when we do not have the population standard deviation (but we can calculate the sample standard deviation, S). As the sample size increases, it becomes closer to the population size (makes sense, right?). This means that the t-distribution will become closer to the z-distribution (because the sample standard deviation will become closer to the population standard deviation). Since it is very rare to actually have the population's standard deviation, we typically have to use the t-distribution when creating confidence intervals. Answer the following questions for this discussion: 1. Construct a 95% confidence interval for the population mean given that X = 25, n=51, and S=5. Write a conclusion for this interval (what does it represent?). 2. Suppose students are creating a confidence interval for the population mean using the same statistics from question 1. Erin is using a 90% confidence level and Robert is using a 99% confidence level. Who will create a wider interval? Explain why without actually performing the calculations. Priv 創 C 回 & 凶
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