part D E F 2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment1. What is the average number of calories consumed for children in this group? Use 2 decimalsHint: Don't forget to only use the subset of children that participated in meal preparation.2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standarderror for the average of calories consumed by children participating in meal preparation. Enter thevalue 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 childrenparticipating in meal preparation (treatment 1) consume more than 400 calories, on average. Usethe results obtained in the previous two questions and obtained the test statistic. Enter it hereusing two decimals.2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that childrenthat help in meal preparation (treatment 1 only) consume more than 400 calories, on average. Usethe results obtained in the previous questions and obtained the p-value. Enter it here using threedecimals.2e. (Data calories.txt only using treatment 1 sample) A researcher would like to show that childrenparticipating in meal preparation (treatment 1) consume more than 400 calories, on average. Usingthe 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 29Hint 2: Perhaps more than two options are appropriateThe result is non-significantThe result is significantThe result is highly significantReject the null hypothesisFail to reject the null hypothesisWe 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 intakegoal.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" 2 403.982f. (Data calories.txt only using treatment 1 sample) Using the results obtained in the previousquestions, obtain a 98% confidence interval for the average of calories consumed by childrenparticipating 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 previousquestions, obtain a 98% confidence interval for the average of calories consumed by childrenparticipating in meal preparation (treatment 1). What is the upper bound? Use one decimal.

Question

part D E F 2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment1. What is the average number of calories consumed for children in this group? Use 2 decimalsHint: Don't forget to only use the subset of children that participated in meal preparation.2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standarderror for the average of calories consumed by children participating in meal preparation. Enter thevalue 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 childrenparticipating in meal preparation (treatment 1) consume more than 400 calories, on average. Usethe results obtained in the previous two questions and obtained the test statistic. Enter it hereusing two decimals.2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that childrenthat help in meal preparation (treatment 1 only) consume more than 400 calories, on average. Usethe results obtained in the previous questions and obtained the p-value. Enter it here using threedecimals.2e. (Data calories.txt only using treatment 1 sample) A researcher would like to show that childrenparticipating in meal preparation (treatment 1) consume more than 400 calories, on average. Usingthe 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 29Hint 2: Perhaps more than two options are appropriateThe result is non-significantThe result is significantThe result is highly significantReject the null hypothesisFail to reject the null hypothesisWe 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 intakegoal.The results are inconclusive &#34;Trt&#34; &#34;Calories&#34;&#34;1&#34; 1 435.16&#34;2&#34; 1 338.99&#34;3&#34; 1 488.73&#34;4&#34; 1 590.28&#34;5&#34; 1 582.59&#34;6&#34; 1 635.21&#34;7&#34; 1 249.86&#34;8&#34; 1 441.66&#34;9&#34; 1 572.43&#34;10&#34; 1 357.78&#34;11&#34; 1 396.79&#34;12&#34; 1 298.38&#34;13&#34; 1 282.99&#34;14&#34; 1 368.51&#34;15&#34; 1 388.59&#34;16&#34; 1 256.32&#34;17&#34; 1 408.82&#34;18&#34; 1 424.94&#34;19&#34; 1 477.96&#34;20&#34; 1 428.74&#34;21&#34; 1 432.52&#34;22&#34; 1 428.27&#34;23&#34; 1 596.79&#34;24&#34; 1 456.3&#34;25&#34; 1 446.38&#34;26&#34; 2 414.61&#34;27&#34; 2 503.46&#34;28&#34; 2 425.22&#34;29&#34; 2 288.77&#34;30&#34; 2 184&#34;31&#34; 2 299.73&#34;32&#34; 2 350.65&#34;33&#34; 2 394.94&#34;34&#34; 2 261.55&#34;35&#34; 2 295.28&#34;36&#34; 2 139.69&#34;37&#34; 2 462.78&#34;38&#34; 2 179.59&#34;39&#34; 2 301.75&#34;40&#34; 2 436.58&#34;41&#34; 2 371.39&#34;42&#34; 2 469.02&#34;43&#34; 2 378.09&#34;44&#34; 2 287.31&#34;45&#34; 2 448.55&#34;46&#34; 2 332.64&#34;47&#34; 2 403.982f. (Data calories.txt only using treatment 1 sample) Using the results obtained in the previousquestions, obtain a 98% confidence interval for the average of calories consumed by childrenparticipating 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 previousquestions, obtain a 98% confidence interval for the average of calories consumed by childrenparticipating in meal preparation (treatment 1). What is the upper bound? Use one decimal.

Accepted Answer

Sample size n = 25
Formula Used:
Confidence interval = X ± tsn