here is the complete question. use confidence level 95% if needed

AutoSave . OFF ~ 4 6 565 : MAT10251 Special Exam Resit Exam Study Period 4 2020 Online - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (BO... ~ 12 A" A Aa Ap AaBbCcDdE AaBbCCD AaBbCcDdl AaBbCcDd| |AaBbCcDdEt AaBb Paste BIUvab x x |A LA. Emphasis Heading 1 Normal Strong Subtitle Title Styles Dictate Sensitivity Pane Question 5 (11 marks) On 22 July 2020 Oz-Fuel-Watch collected fuel price data from 32 randomly selected petrol stations in Northern New South Wales (NSW). The price data for Unleaded 91 and Diesel is recorded in the table below. Town/Suburb Diesel Unleaded 91 Town/Suburb Diesel Unleaded 91 Alstonville 120.9 121.9 Armidale 128.9 119.9 Ballina 115.9 120.9 Bangalow 125.9 119.9 Bellinger 123.9 117.9 Bingara 117.9 114.9 Bonalbo 132.5 129.5 Bi Sort 119.9 117.9 Bryon Bay 125.9 119.9 Casino 127.9 121.9 Clunes 131.9 125.9 Coffs Harbour 121.9 118.9 Coramb 129.9 119.9 Evans Head 121.9 119.9 Glen Innes 122.9 123.9 Guyra 117.0 115.0 Hastings Point 129.9 129.9 Lightning Ridge 126.9 123.9 Lismore 124.9 121.9 Moree 115.7 115.7 Mt Burrell 126.9 127.9 Murwillumbah 116.9 114.9 Narrabri 114.9 115.9 Tenterfield 112.9 109.9 Tingha 120.9 118.9 Tweed Heads 121.5 125.3 Uki 129.9 119.9 Whiporle 123.0 115.0 Woodenbong 125.9 121.9 Woolgoolga 125.9 115.9 Wooli 134.9 123.9 Yamba 126.9 116.9 Data obtained from www.petrolspy.com.au 22July 2020 The boxplot of the difference in price at each location (Diesel - Unleaded 91) is given below Difference in Price (Diesel- Unleaded 91) --- 12 Cents Per Litre (a) Is the distribution of the difference between the price of diesel and unleaded petrol approximately normal? Refer to the boxplot to justify your answer. (b ) Explain why diesel and unleaded petrol prices is paired data. Page 9 of 27 986 words English (United States) Focus E + 121%AutoSave . OFF ~ 4 6 565 : MAT10251 Special Exam Resit Exam Study Period 4 2020 Online - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Calibri (BO... ~ 12 A" A Aa Ap AaBbCcDdE AaBbCCD AaBbCcDdl AaBbCcDdl AaBbCcDdEt AaBb Paste BIUvab x x |A LA. Emphasis Heading 1 Normal Strong Subtitle Title Styles Dictate Sensitivity Pane (b) Explain why diesel and unleaded petrol prices is paired data. (c) What hypothesis test could be used to test if on average Diesel prices were higher than Unleaded 91 prices on 22 July 2022 in Northern NSW? Clearly state any assumption/s required or why no assumptions are required. Question 5 continued on next page Sort Page 7 Question 5 Continued (d) PhStat output for the test in part (c) is Data Difference (Diesel - Unleaded 91) Hypothesized Mean Diff. Level of significance 0.01 Test Statistic 4.9178 Two-Tail Test Lower Critical Value -2.7440 Upper Critical Value 2.7440 p-Value 0.0000 Lower-Tall Test Lower Critical Value 2.4528 p-Value 1.0000 Upper-Tail Test Upper Critical Value 2.4528 p-Value 0.0000 Therefore, test if on average Diesel prices were higher than Unleaded 91 prices on 22 July 2022 in Northern NSW? Solution Question 5 Page 9 of 27 986 words English (United States) Focus E + 121%