Question 1 A social scientist suspected that females tend to feel…

QuestionAnswered step-by-stepQuestion 1 A social scientist suspected that females tend to feel…Question 1 A social scientist suspected that females tend to feel more stressful in life as compared to males. As such, he devised an instrument to assess a person’s stress level. The result of the test ranges from 0 to 400 points. A higher point means the person feels more stressful. This instrument was used on 46 males and 51 females who volunteered for the test. Stress Scores by Gender   Male Female210 215185 195185 180209 240235 246242 287315 305306 300260 245195 311285 305220 202230 196212 185184 196230 235239 288311 290280 187196 248270 293220 298199 212225 193189 233225 203295 226300 297304 335255 193280 258210 245206 264215 216229 193242 243300 213305 224305 295255 302295 202225 190185 300250 201200 200226 210  246  250  330  282  2081) Show three (3) statistical concerns on the approach used in the study. If you have a free hand to study this research question starting from data collection to analysis, illustrate how you would conduct the project.  Question 2 (a) The following table shows a recent study on the relationship between gender and interest in swimming:If a person is randomly selected, identify the probability that the person is (i) Male (ii) Female and Likes Swimming (iii) Male or Likes Swimming (iv) Female given that the person Likes Swimming 3) Espiriki Hotel International is a 200-room hotel situated near Changi Airport. It has a lounge at the lobby but was not doing very well. Mr John Tan, the Lounge Manager, wanted to analyse the monthly beverages sales in the lounge. He collected the following data for the most recent 60 months: BEVTOTAL: Total monthly beverage sales (S$’000) FOODTOT: Total amount spent on food (S$’000) ROOMS: Total room occupancy (room-nights) PERFORMANCE: 1 means there were some performances during that month 0 means there was no performance during that monthMONTH BEVTOTAL FOODTOT ROOMS PERFORMANCE1 17189 2107 4154 12 15686 2141 4457 03 19351 3123 5077 14 21201 2586 4456 05 14436 2288 4733 06 14328 2454 5383 07 11050 2171 5010 08 10599 2747 5030 09 12434 1404 5372 010 17859 1642 4889 111 17806 1456 4295 012 22202 2486 3425 113 15297 2497 3893 014 18301 2465 4395 015 12860 2183 4524 016 13935 3589 5044 017 16747 3010 5174 018 22670 3275 6331 119 23777 3225 4706 120 24680 3448 4259 021 25156 3835 4284 122 29393 3785 3364 123 23160 3198 4250 024 23742 2657 4342 025 28490 3054 5006 126 27106 2930 4761 127 24288 1657 3860 028 22674 2407 5300 029 20626 2528 4569 130 18823 2569 4902 131 23221 3747 5584 132 25441 3103 4901 033 17323 2745 5206 034 17193 2944 5921 135 13260 2605 5511 136 12718 3296 5533 037 14920 1684 5909 138 21430 1970 5377 139 21367 1747 4724 040 26642 2983 3767 141 18356 2996 4282 042 21961 2958 4834 143 15432 2619 4976 044 16722 4306 5548 045 20096 3612 5691 146 27204 3930 6964 147 28532 3870 5176 048 29616 4137 4684 149 30187 4602 4712 050 35271 4542 3700 051 27792 3837 4675 152 28490 3188 4776 053 34188 3664 5506 154 32527 3516 5237 055 23190 2666 4312 156 23450 3218 4798 157 14345 2298 4733 158 18028 2149 4388 059 16988 3139 5109 160 21229 2543 4219 0(a) Describe the relationship between beverage sales and the three (3) independent variables by writing down the linear equation. Interpret the coefficients to show how each of the independent variables impact beverage sales. You are required to present the relevant Excel output table. (b) Mr Tan wants to estimate the monthly beverage sales for a particular month in which the total food sales is $2.5 million, total room occupancy is 5,000 and there are three performances in the lounge during that month. What is your estimate of the beverage sales for that month?(c) Interpret the coefficient of multiple determination and the adjusted coefficient of multiple determination. Explain which is a better measure in this case. You are required to present the relevant Excel output table.(d) Execute hypothesis tests to advise Mr Tan which variable(s) is/are significant at the 5% significance level. Write down your steps carefully. MathStatistics and ProbabilityBUS 105Share Question