Suppose that the average time spent per day with digital media several years ago was 3 hours and 29 minutes. For last? year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the? t-interval procedure can reasonably be applied. Find and interpret a 99?% confidence interval for last? year's mean time spent per day with digital media by adults of the region.? (Note:

x overbar equals 4.41 hr and s equals 2.26 ?hr.)

Values of to df [0.10 [0.05 [0.025 0.01 [0.005 df 50 1.299 1.676 2.009 2.403 2.678 50 51 1.298 1.675 2.008 2.402 2.676 51 52 1.298 1.675 2.007 2.400 2.674 52 53 1.298 1.674 2.006 2.399 2.672 53 54 1.297 1.674 2.005 2.397 2.670 54 55 1.297 1.673 2.004 2.396 2.668 55 56 1.297 1.673 2.003 2.395 2.667 56 57 1.297 1.672 2.002 2.394 2.665 57 58 1.296 1.672 2.002 2.392 2.663 58 39 1.296 1.671 2.001 2.391 2.662 59 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 82 28 892 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652 67 1.294 1.668 1.996 2.383 2.651 67 68 1.294 1.668 1.995 2.382 2.650 68 69 1.294 1.667 1.995 2 382 2.649 69