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Q1:Final Project Research Title: Investigating the Impact of Smartphone Usage on Sleep Quality and Academic Performance Among the 10 students given in the table below. Significance level (a=0.05). Case Study I: the Impact of Smartphone Usage on Sleep Quality. Case Study II: the Impact of Smartphone Usage on Academic Performance. Calculate the numerical measures (Mean, Standard Deviation, Median, Mode) for each case and perform the same calculations using Excel. Compute the correlation coefficients for each case, both numerically and by employing Excel. Utilize the quantitative methodology to investigate the relationships among the variables, ensuring to identify and include all the components of this research method. Is there a relationship between sleep quality and performance? Please provide the interpretation. Prepare a Research Proposal on the given topic, taking into account all the elements of the attached research proposal. Student S1 S2 S3 S4 S5 S6 S7 000 S8 S9 $10 Average Daily Smartphone Usage (In hours) 5 7 LD 4 8 3 6 4 7 5 Sleep Quality (On a scale of 1-10) 7 4 5 8 3 9 LD 6 7 st 4 5 Academic Performance (Score out of 100) 75 60 80 85 55 90 70 78 62 82See Answer
Q2: 10. Set 1: 13, 10, 8, 2 Set 2: 13, 11, 3, 2, x Is the median of the numbers in set 1 above, equal to the median of the numbers in set 2? 1. 8<x< 10 2. The sum of numbers in set 2 is 38 See Answer
Q3:Is xy < 15? 1. 0.5<x< 1, and yÂ² = 144 2. x<3,y<5 A. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question B. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the questionSee Answer
Q4: 8. In what year was Heidi born? 1. Heidi's daughter was born in 1960 when Heidi was 28 years old. 2. Heidi's birthday and her daughter's birthday are exactly six months apart. See Answer
Q5: 6. In triangle ABC all the sides have integer lengths. What is the length of side AC? 1. AB = 3 and BC = 4 2. One of the angles of ABC is a right angle See Answer
Q6: 4. A university has 2,000 faculty members all of whom have a masters degree, and some ofwhom also have a doctorate. 35 percent of the faculty members are female. What fraction ofthe faculty members are female doctorate holders? 1. 20 percent of the male faculty members have a doctorate. 2. A total of 1140 faculty members have only a masters degree. See Answer
Q7: 3. A die is rolled randomly on to a circular board with a triangle inscribed in the circle. (Allthree vertices of the triangle are on the circumference of the circle.) What is the probabilitythat the die comes to rest outside the triangular region? 1. The hypotenuse of the triangle is a diameter of the circle. 2. The radius of the circle is 2 units, and the area of the triangle is 4 square units. See Answer
Q8: 2. If x, y and z are different integers, is x divisible by 11? 1. xyz is divisible by 22 and 33 2. yz is divisible by 72 See Answer
Q9: 1. If x and y are both positive, and if x/y = 7/2, how much greater is x than y? 1. 2x+y = 8 2. 0<y<2<li=""> <y<2° See Answer
Q10: 10. Is w an integer? 1. 3w is an odd number. 2. 2w is an even number. See Answer
Q11: 7. Fifty percent of the articles in a certain magazine are written by staff members. Sixty percent of the articles are on current affairs. If 75 percent of the articles on current affairs are written by staff members with more than 5 years experience of journalism, how many of the articles on current affairs are written by staff members with more than 5 years experience? 1. 20 articles are written by staff members. 2. Of the articles on topics other than current affairs, 50 percent are by staff members with less than 5 years experience. See Answer
Q12: 6. If x and y are both positive integers, how much greater is x than y? 1. x+y=20 2. x = y² See Answer
Q13: 5. What is the slope of line 1 which passes through the origin of a rectangular coordinate system? 1. The line does not intersect with the line y = x + 2 42. The line passes through the point (3,3)4J See Answer
Q14: 4. How long did it take Henry to drive to work last Wednesday? (He did not stop on the way). 1. If he had driven twice as fast he would have taken 35 minutes. 2. His average speed was 30 miles per hour. See Answer
Q15: 3. What is the value of n? 1. 3n+2m = 18. 2. n-m=2n - (4 + m) See Answer
Q16: 2. What is the ratio of male to female officers in the police force in town T? 1. The number of female officers is 250 less than half the number of male officers. 2. The number of female officers is 1/7 the number of male officers. See Answer
Q17: Every pupil in a school was given one ticket for a concert. The school was charged a total of$6000 for these tickets, all of which were of equal value. What was the price of one ticket? 1. If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.1 1 11 2. If the price of each ticket had been $2 more, the total bill would have increased by 40%. See Answer
Q18: 10. A bucket was placed under a dripping tap which was dripping at a uniform rate. At whattime was the bucket full? 1. The bucket was put in place at 2pm. 2. The bucket was half full at 6pm and three-quarters full at 8pm on the same day. See Answer
Q19: 9. Two socks are to be picked at random from a drawer containing only black and whitesocks. What is the probability that both are white? 1. The probability of the first sock being black is 1/3. There are 24 white socks in the drawer. See Answer
Q20: 7. A certain straight corridor has four doors, A, B, C and D (in that order) leading off fromthe same side. How far apart are doors B and C? 1. The distance between doors B and D is 10 meters. 2. The distance between A and C is 12 meters. See Answer

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