In a study of parents\' perceptions of their children\'s size, researchers Kaufm

Question

In a study of parents' perceptions of their children's size, researchers Kaufman et al.(Current Biology, 2013) asked parents to estimate their youngest child's height. The researchers hypothesized that parents tend to underestimate their youngest child's size because the youngest child is the baby of the family and everybody else is the family appears bigger compared to the baby. The sample of 34 parents who were surveyed underestimated their youngest child's height by 7.4cm, on average; the standard deviation for the difference in actual heights and estimated heights was 7.05 cm and the data are not strongly skewed Is there evidence that youngest children's heights tend to be underestimated by their parents? Carry out a theory-based test using an appropriate applet or statistical software. Find and report a p-value as well as a standardized statistic. Round the test statistic to 2 decimal places, e.g. 5.83, and the p- value to 4 decimal places, e.g. 0.0583. tP-value- Interpret the p-value in the context of the study c We obtain values of 7.4 cm or larger by chance less than 0.0001 of the time if parents are c We obtain values of 7.4 cm or larger by chance less than 0.0001 of the time if parents, in the o We obtain values estimating the heights of the children accurately on average from a sample. long run, are estimating the heights of the children accurately of 7.4 cm or larger by chance less than 0.0001 of the time if parents are estimating the heights of the children inaccurately on average from a population. We obtain values of 7.4 cm or larger by chance less than 0.0001 of the time if parents are estimating the mean heights of the children inaccurately

Explanation / Answer

Using R software, we found the value of
t = 6.12
p-value = 0.0000

As p-value is less than 0.0001, the correct answer is,
(1st option) We obtain values of 7.4 cm or larger by chance less than 0.0001 of the time if parents are estimating the heights of the children accurately on average from a sample.

Using R software, 95% confidence interval is,
(4.94, 9.86)

As, the 95% confidence interval range does not contain the value 0, there is very significant difference in the actual and estimated average heights. So, the correct option is
True

The correct option is,
There is not strong skewness in the distribution of differences in actual and estimated heights.

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