Question: The graph is for the question below. It is the same as the small one within the question. There are too many parts which make

The graph is for the question below. It is the same as the small one within the question. There are too many parts which make it confusing. Can you help me?


3. A experiment was performed where 22 children helped prepare a meal to be eaten. Interest was in whether involving the child in the cooking process can help explain the amount of calories they eat. Below is JMP output of the data. For each child, the number of calories consumed was recorded. Researchers are interest in learning about the calories consumed. calories Quantiles * =Summary Statistics Mean Upper il K Mean SLAKH quirk s 100% (a) Recall that when working with a small sample, we assume X, ~ N(p, o') in order to do inference. Does the assumption that a normal distribution generated the individual values seem reasonable? Justify your answer. (2 points) (b) Regardless of your answer to (a), create a 99% confidence interval for the true mean calories eaten by children who help prepare a meal. Fully interpret your interval in the context of the problem. (4 points) (c) Regardless of your answer to (a), create a 90% prediction interval for a new child's calorie consumption when helping prepare a meal. (4 points)calories Quantiles Summary Statistics 100.0% maximum 596.79 Mean 425.58364 99.5% 596.79 Std Dev 71.051344 97.5% 596.79 Std Err Mean 15.148198 90.0% 513.097 Upper 95% Mean 457.08604 75.0% quartile 464.79 Lower 95% Mean 394.08124 50.0% median 430.63 N 22 25.0% quartile 383.57 10.0% 310.563 2.5% 282.99 250 300 350 400 450 500 550 600 0.5% 282.99 0.0% minimum 282.99
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