Asoil scientist has just developed a new type of fertilizer and she wants to determine whether it carrots grow larger. she sets up several pots of soil and plants one carrot seed in each pot. fertilizer is added to half the pots. all the pots are placed in a temperature-controlled greenhouse where they receive adequate light and equal amounts of water. after two months of growth, the scientist harvests the carrots and weighs them (in kilograms). below is a data table showing the weight of the carrots at the end of the growing period from the two treatment groups. if you use this hyperlink to the google spread sheet, you still need to copy the data into a new spreadsheet in order to work with it. this spreadsheet also contains a second sheet with the t-table. sample id control fertilizer treatment 1 0.327 0.619 2 0.36 0.57 3 0.333 0.62 4 0.25 0.268 5 0.479 0.654 6 0.475 0.771 7 0.415 0.457 8 0.396 0.21 9 0.414 0.523 10 0.433 0.558 11 0.223 0.578 12 0.215 0.794 13 0.289 0.303 14 0.269 0.723 15 0.468 0.39 16 0.38 0.614 17 0.218 0.334 18 0.247 0.644 19 0.407 0.594 20 0.479 0.685 21 0.41 0.513 22 0.267 0.6 23 0.307 0.225 24 0.362 0.428 25 0.421 0.828 26 0.401 0.463 27 0.258 0.197 28 0.469 0.519 29 0.399 0.34 30 0.282 0.609 1) to analyze this data set, should the scientist use a tailed t-test? 2) after performing a t-test, what is the calculated t-value for this data set? 3) use the table below to report the critical t-value for the appropriate t-test would you reject or fail to reject the null hypothesis?