QUESTION 51 Questions 44 - 51 concern the following idea: Bob runs a phone company called Phantastic Phones. He conducts a survey on a random sample of 500 of his customers, in which he asks questions about their phone use habits, expenditure on phones, and so on. As part of the survey customers are asked their age and the amount of their last phone bill. Age groups are formed: young (50) and Bob wants to discover if the different age groups have different average phone bills. Which one of the following is the correct analysis methodology to use to carry out this analysis? O a. ANOVA O b. A two independent samples t-test O c. A chi-square test of independence O d. A paired samples t-testQUESTION 52 Questions 52 - 55 concern the following idea: Customers in 3 different countries are asked what would be most likely to make them revisit a shop (ie. what builds shop loyalty). An analyst checks to see if there are differences between the countries, using a y test for independence. Below is the output from the analysis (with some parts deleted). Table # Counts Aus NZ USA Low Prices 54 38 98 Pleasant Staff 10 10 55 Easy Parking 15 10 24 Shop Environment 33 26 65 > . Test . Test Pearson's Chi-squared test data: .Table X-squared = ???, df = ???, p-value = 0.0495 > . Test$expected # Expected Counts Aus NZ USA Low Prices 48.58 ??? ??? Pleasant Staff 19.18 14.38 41.44 Easy Parking 12.53 ??? 27.07 Shop Environment 31.71 23.78 68.51 > round(. TestSresiduals*2, 2) # Chi-square Components Aus NZ USA Low Prices 0.60 0.07 0.46 Pleasant Staff 4.39 1.34 4.44 Easy Parking 0.49 0.04 0.35 Shop Environment ??? 0.21 0.10 The following hypotheses have been used in the performing of this test: Ho: Most important factor choice is independent of country of origin H1: Most important factor choice depends on country of origin Calculate the missing Expected Count corresponding to Low Prices & NZ (correct to 2 decimal places)