. Question 2 v Choose the correct phrase to complete the statement: A T-Distribution is used instead of the Z-Distribution whenever '33:? s is used as an estimate for 0' '33:? a student is doing the probLem since T is referred to as 'Student's T-Distribution' '3' sample size is Less than 30 '1} 0' is known 0 Question 3 v Select the correct statement: When building a CI for a population mean, '31:? if building a Z-interval, you always need a sample size of at least 30 '3' if the population is not known to be normally distributed, you need a sample size of at least thirty '3' if building a T-lnteryal, you always need n For a given level of Confidence, C, the Critical Value Tc will get closer to Zc as the Degrees of Freedom increase. This is because: '33:? T is used when using 3 to estimate 0', and the larger the sample size, the more accurate 3 gets as an estimate for J C? 0' gets smaller as the sample size increases '3' the population changes as the sample size increases '3' 3 gets smaller as the sample size increases 0 Question 5 v Two biologists are trying to estimate the population mean length of trout in a stream. They each build a Cl based on their own sample data, and the sample sizes were the same. Here are their T-intervals: First biologist: 95% Cl is: 8.5 K; p You collect 45 sample data values to build a confidence interval for a population mean. You put the data in your calculator, press 1-Varstats, and get this output: i = 117.5 SI 13 0': = 12854744044299 Select the correct statement: '33:? Use a Z-interval since it :3 30 ""33? Use a T-lnterval with .3 since the data came from a sample 33:? Use a Z-lnterval, since the calculator gave you 0' 5:3? Use a T-lnterval with 0' since that will be more accurate 0 Question 7 v You are building a CI for a population mean. The sample statistics are as follows: it = 45, E = 78.6, 5 = 12.5 Select the correct statement: '33:? Build a T-lnterval since the population standard deviation is not known '7'} Build a Z interval since you know the population standard deviation ""3 Build a T-lnterval since you know the population standard deviation 37:} Build a Z-lnterval since n b 30