PRACTICAL 1. Generate 40 Integer random numbers using any distribution between 35 and 55. (0.5 Marks) 2. Find mean, median, variance, standard deviation, range, midrange and mode for the random numbers generated in Question 1. (0.5 Marks) 3. (a) Toss a fair coin 100 times. How many heads do you have? (b) Use R to pick 40 cards from a deck of 52. (1 Mark) 4. The built in dataset painters contains data on Composition versus Drawing. Find the Pearson and Spearman correlation coefficients. (1 Mark) 5. A researcher estimates that average length of road in a city is less than 634 feet. A random sample of 10 roads is selected and the lengths in feet are shown below. Use t-test to check if there is enough evidence to reject the claim? (1 Mark) 725, 621, 592 525, 638, 463, 745, 867, 634, 791 6. The following table gives the car's efficiency for the last year. The data for total payed against the total miles is given in the following chart. (1 Mark) 39 40 41 37 372 42 407 371 404 385 Total Paid(OMR) 37.5 38 39 33.5 33 37 38.5 Total miles 390 403 396 383 321 391 386 a. Estimate the linear regression line. b. Estimate the Total miles when the Total Paid is 45 OMR. 7. Is gender independent of education level? A random sample of 385 people were surveyed and each person was asked to report the highest education level they obtained. The data that resulted from the survey is summarized in the following table: (1 Mark) Female Male High School 60 38 Bachelor 52 42 Masters 44 52 Ph.d. 40 57 For the data collected above, is there a relationship between the gender of an individual and the level of education that they have obt ed, using Chi - square 5% level of significance