Question

An experiment was conducted to determine the effect of children participating in a given meal preparation on calorie intake for that meal. Data are recorded below. Save the data to a format that can be read into R. Read the data in for analysis. Use R to calculate the quantities and generate the visual summaries requested below. You will lose points if you are not utilizing R.
(1) Summarize the data by whether children participated in the meal preparation or not. Use an appropriately labelled table to show the results. Also include a graphical presentation that shows the distribution of calories for participants vs. non-participants. Describe the shape of each distribution and comment on the similarity (or lack thereof) between the distributions in each population. (2 points)

(2) Does the mean calorie consumption for those who participated in the meal preparation differ from 425? Formally test at the alpha = 0.05 level using the 5 steps outlined in the module. (6 points)

(3) Calculate a 90% confidence interval for the mean calorie intake for participants in the meal preparation. Interpret the confidence interval. (4 points)

(4) Formally test whether or not participants consumed more calories than non-participants at the alpha = 0.05 level using the 5 steps outlined in the module. (6 points )

(5) Are the assumptions of the test used in (4) met? How do you know? (2 points)

Data Set for Assignment 2

Calorie Intake for participants

230.16

210.99

288.73

590.28

582.59

635.21

249.86

441.66

572.43

357.78

396.79

298.38

282.99

368.51

388.59

256.32

408.82

424.94

477.96

428.74

432.52

428.27

596.79

456.30

446.38

Calorie intake for non-participants

614.61

503.46

425.22

688.77

184.00

299.73

350.65

394.94

261.55

295.28

139.69

462.78

179.59

301.75

436.58

371.39

469.02

378.09

287.31

448.55

332.64

403.98

Answer 1

Answer:

Step-by-step explanation: see attachment below

Answer 2

Answer:

Step-by-step explanation:

1) The table is summarized below

Calorie Intake for participants             Calorie intake for non-participants                                  230.16                                                                614.61                        

230.16                                                                 503.46

210.99                                                                 425.22

288.73                                                                  688.77

590.28                                                                   184.00

582.59                                                                     299.73

635.21                                                                      350.65

249.86                                                                      394.94

441.66                                                                      261.55

572.43                                                                      295.28

357.78                                                                       139.69

396.79                                                                        462.78

298.38                                                                         179.59

282.99                                                                         301.75

368.51                                                                          436.58

388.59                                                                          371.39

256.32                                                                          469.02

408.82                                                                         378.09

424.94                                                                         287.31

477.96                                                                         448.55

428.74                                                                        332.64

432.52                                                                        403.98

428.27

596.79

456.30

446.38

2) Yes

3) The probability is given as 0.90

The interval for the mean is between  X + 0.90 and X - 0.90

Where mean, X = 425

∴ 425 + 0.90 and 425 - 0.90 = 425.90 and 424.10

4)