Problem 1 The following table shows scores on the first quiz {maximum score 10 points} for eighth-grade students in an introductorylevel French course. The instructor grouped the students in the course as follows: Group 1: Never studied foreign language before but have good English skills Group 2: Never studied foreign language before and have poor English skills Group Ii: Studied at least one other foreign language French scores on the quiz Group 1 l[:roup 2 l[Group .'l 4 1 '3 5 10 8 5 Mean 5.0 3.0 3.0 Std. Dev. 2.000 2.828 2.545 Source DF 33 HS F F Group 2 30.00 15.00 2.50 0.1T?r Err or 5 30 . 00 5 . 00 Total T 50 00 a] Based on pv:11ue._ draw a conclusion and interpret in context. Use or = 0.05 b] Do you think we need a followup procedure such as Tukey's HSD? Explain. Problem 2 A bank conducts a survey in which it randomly samples 401] of its customers. The survey asks the customers which way they use the bank the most: {1} interacting with a teller at the bank. [2] using ATl'vls. or {3] using the bank's online banking service. It also asks about their level of satisfaction with the service they most often use {on a scale of0 to 10 with [l = very poor and 10 = excellent]. Does mean satisfaction differs according to how they most use the bank? a] State the null and alternative hypotheses for conducting an ANUVA with data from the survey. b] Report the df values for this ANGVA. Above what F test statistic values give a P-'Lalue below 0.05? {Hint Ilse q) command} c] Horn the data. we have SHG=0.92. SHE=397. \""hat is the value of observed F statistics and p-value'f' How do we interpret the p-value'f' And what can we conclude? (Hint: Use F = .511 ISGL'LIE'E where h'ISG=HSGfI:g-1} and h-lE=5iEiEf{N-g]} d] \""hat were the assumptions on which the ANG'U'A was based? 1|ui'v'hich assumption is the most impor- tant