Question 1 of 5 According to a study done in 2013, the average age of a first-time home buyer in Canada was 28.2 years old. A researcher believes this number has increased since that time. A large random sample of Canadian first-time home-buyers is selected to test this claim. a. Determine what population parameter is being tested: b. Determine if the alternative hypothesis is a left-tailed, right-tailed, or two-tailed test: o <: left-tailed o> : right-tailed O *: two-tailed EQuestion 2 of 5 H3 : ,u : 17 kg H1 : ,u, > 17 kg Level of significance: as : 0.05 Sample size: n : 36 Test statistic: t : 1.177 Unknown population standard deviation - TDistribution Table I a. Determine the critical value{s) for the proposed hypothesis test. -E b. Conclude whether to reject the null hypothesis or not based on the test statistic. O Reject O Fail to Reject c. State the decision error type that is possible. 0 Type 1 Error 0 Type 11 Error Question 3 of 5 The restaurant manager is testing the bartender's ability to pour 45 mL of spirits correctly into a mixed drink. The manager has the bartender pour water into 12 shot glasses to test their ability to pour the correct amount of spirits: 48 45 44 43 46 4? 42 46 4? 45 47 49 Note: The data appears to be approximafe/ normally distributed. Test the bartender's ability to pour 45 mL at the 2% level of significance. - TDistribution Table - a. Calculate the sample mean and standard deviation. X E Round to three decimal places if necessary S Round to three decimal places if necessary b. Calculate the test statistic. E Round to three decimal places if necessaryc. Determine the critical value(s) for the hypothesis test. + Round to three decimal places if necessary d. Conclude whether to reject the null hypothesis or not based on the test statistic. O Reject O Fail to Reject EQuestion 4 of 5 Determine if the conditions required for the normal approximation to the binomial are met. If so, calculate the test statistic, determine the critical value(s), and use that to decide whether there is sufficient evidence to reject the null hypothesis or not at the given level of significance. Ho : p = 0.139 H1 : p