Subject: Mathematics / Statistics
Return to the data set on children’s calorie intake: Children and Food Preparation spreadsheet.
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Get Help Now!Suppose that dieticians recently recommended a 400 calorie-per-meal intake for children of the age of the data set. To see if both groups confirm to this guideline, follow the steps outlined in the text and lecture notes to develop and test a statistical hypothesis. Test to see if both groups’ means are different from 400 calories. For your convenience, those steps for a hypothesis test are posted below.
Remember that you have two data sets, so you will be completing the process twice. Use as a level of significance, and make sure to report any important statistics with your results (mean of each group, standard deviation of each group, test statistic (are you using t or z?), rejection region, and p-value). Make a real world connection with your results; share a few sentences on why one group may be different than 400 mean calories, or why a group fails to show significant difference from 400 calories. Use your results to support your reasoning. For instance: If your test yields a p-value of 0.075, a conclusion would be that there is no significant difference from the mean 400 calorie level at the significance level. (150-200 words
Hypothesis Test Steps
Define the null and alternative hypotheses.
Choose the level of significance (alpha value).
Select the appropriate test statistic. The test statistic measures the standardized discrepancy between the claim (under the null hypothesis) and the evidence.
Draw the rejection region. The rejection region contains the values of the test statistic for which the null hypothesis should be rejected. This region is found by determining the appropriate critical value(s) based on the significance level (alpha).
Collect the data, calculate the appropriate test statistic, and determine if it falls within the region of rejection or nonrejection.
Children Participa Children Did Not PDataset: kid_calorie.csv
435.16 414.61 Source: K. nan der Horst, A. Ferrage, A. Rytz (2014). "Involving Children 338.99 503.46 in Meal Preparation," Appetite. Vol. 79, pp.18-24 488.73 425.22 Description: Experiment conducted to determine effect of children 590.28 288.77 participating in meal preparation on caloric intake. Two groups 582.59 184 (independent samples). Treatment 1: Children participated. 635.21 299.73 Trt 2: Did not participate. Data simulated to match means and SDs. 249.86 350.65 Variables: 441.66 394.94 Treatment 572.43 261.55 Caloric Intake 357.78 295.28 396.79 139.69 298.38 462.78 282.99 179.59 368.51 301.75 388.59 436.58 256.32 371.39 408.82 469.02 424.94 378.09 477.96 287.31 428.74 448.55 432.52 332.64 428.27 403.98 596.79
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446.38 ng Children
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