A random sample of size 36 is drawn from a population that and a measurement of variable is taken that follows a normal distribution. The population mean is 8 and the population standard deviation is 2. What is the standard error of the mean of these 36 observations? a. b . 10owl - w / cool - C . d. e. None of the above Question 2 [2 points] If a 95% confidence interval for the population mean is (23.9, 30.1), then which of the following holds? a. There is a 95% chance that the population mean is between 23.9 and 30.1 b. 95% of all of the possible samples produce intervals that do not capture the population mean c. 95% of all the possible values of the population mean fall within the interval (23.9, 30.1) d. 20 is a plausible value for the population mean e. 25 is a plausible value for the population mean Question 3 [1 points] Which of the following is the primary reason why we use the t distribution instead of the Z distribution to conduct inference for a population mean? a. We need to use a t distribution if the population standard deviation is known b. We need to use a t distribution if the population standard deviation is unknown c. We need to use a t distribution when the sample size is small (n 30). 2 of 5 e. we need to use a t distribution if the sample mean is small