Question 6 (1 point) The t distribution becomes almost identical to the standard normal distribution if the sample size becomes very large. Question 7 (1 point) For larger number of samples (e.g greater than 1000), the t-distribution can be approximated by the normal distribution. Question 8 (1 point) The cost of a university education has increased at a much faster rate than other living expenses in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. Suppose 20 students were selected randomly and their weekly work hours were observed. Then a hypothesis test was done to test this belief. Then I* (critical value of t ) at an or level of 5% is Question 9 (1 point) Consider the data summarised in the table below: Group 1 Group 2 Find the test statistic (t-statistic) for the test H A I [11 #2 > 0. Note: 1- Round your intermediate numbers to 4 decimal places. 2- Round you final answer to 3 decimal places. Enter your final answer to 3 decimal places. Your Answer: Answer Question 10 (1 point) Lego is liked by children as well as adults. Management at a lego company wonders if lego sets purchased for adults are on average more expensive than than lego purchased for children (because lego sets liked by adults are often more expensive). So management collects a random sample of 17 lego sets purchased for children and 63 sets purchased for adults (buyers are interviewed). They find that on average, $60 was spent on lego sets purchased for children, with a standard deviation of $18.18. Whereas, lego sets purchased for adults were on average $85 with a standard deviation of $17.37. 50 management wants to investigate if HA I \"a [10 > 0, where 3 represents adults and c represents children. What is the standard error for the difference between sample means for money spent on lego between the adults group and the children group SE(7 7 )? a 0 Note: 1- Round your intermediate numbers to 4 decimal places. 2- Round you final answer to 3 decimal places. Enter your final answer to 3 decimal places. Your