2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment 1. What is the average number of calories consumed for children in this group? Use 2 decimals Hint: Don't forget to only use the subset of children that participated in meal prep aration. 2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standard error for the average of calories consumed by children participating in meal preparation. Enter the value using two decimals. Hint 2: The R command length() may be useful to find the appropriate sample size. 2c. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Use the results obtained in the previous two questions and obtained the test statistic. Enter it here using two decimals. 2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children that help in meal preparation (treatment 1 only) consume more than 400 calories, on average. Use the results obtained in the previous questions and obtained the p-value. Enter it here using three decimals. 2e. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Using the results obtained in the previous questions, what is your conclusion? Select all that apply. Hint 1: Use the generally accepted levels of significance discussed in chapter 29 Hint 2: Perhaps more than two options are appropriate The result is non-significant The result is significant The result is highly significant Reject the null hypothesis Fail to reject the null hypothesis We can conclude that less than half of children in the relevant group consume above the caloric intake goal. We can conclude that more than half of children in the relevant group consume above the caloric intake goal. The results are inconclusive "Trt" "Calories" "1" 1 435.16 "2" 1 338.99 "3" 1 488.73 "4" 1 590.28 "5" 1 582.59 "6" 1 635.21 "7" 1 249.86 "8" 1 441.66 "9" 1 572.43 "10" 1 357.78 "11" 1 396.79 "12" 1 298.38 "13" 1 282.99 "14" 1 368.51 "15" 1 388.59 "16" 1 256.32 "17" 1 408.82 "18" 1 424.94 "19" 1 477.96 "20" 1 428.74 "21" 1 432.52 "22" 1 428.27 "23" 1 596.79 "24" 1 456.3 "25" 1 446.38 "26" 2 414.61 "27" 2 503.46 "28" 2 425.22 "29" 2 288.77 "30" 2 184 "31" 2 299.73 "32" 2 350.65 "33" 2 394.94 "34" 2 261.55 "35" 2 295.28 "36" 2 139.69 "37" 2 462.78 "38" 2 179.59 "39" 2 301.75 "40" 2 436.58 "41" 2 371.39 "42" 2 469.02 "43" 2 378.09 "44" 2 287.31 "45" 2 448.55 "46" 2 332.64 "47" 2 403.98 2f. (Data calories.txt only using treatment 1 sample) Using the results obtained in the previous questions, obtain a 98% confidence interval for the average of calories consumed by children participating in meal preparation (treatment 1). What is the lower bound? Use one decimal. 2g. (Data calories.txt only using treatment 1 sample) Using the results obtained in the previous questions, obtain a 98% confidence interval for the average of calories consumed by children participating in meal preparation (treatment 1). What is the upper bound? Use one decimal.