In a survey, the sample consisted of 1087 adults who were parents of school-aged children. The sample was selected in a way that makes it reasonable to regard it as representative of the population of parents of school-aged children. One question on the survey asked respondents how much time (in hours) per month they spent volunteering at their children's school during the previous school year. The following summary statistics for time volunteered per month are given below. n = 1087 x = 5.5 median = 1

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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(b) Based on your answer to part (a), explain why it is not reasonable to assume that the population distribution of time spent volunteering is approximately normal.
With the sample mean being much less than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly
positively skewed, and therefore not normally distributed.
With the sample mean being much less than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly
negatively skewed, and therefore not normally distributed.
With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is
strongly positively skewed, and therefore not normally distributed.
With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is
bimodal, and therefore not normally distributed.
With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is
strongly negatively skewed, and therefore not normally distributed.
Transcribed Image Text:(b) Based on your answer to part (a), explain why it is not reasonable to assume that the population distribution of time spent volunteering is approximately normal. With the sample mean being much less than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly positively skewed, and therefore not normally distributed. With the sample mean being much less than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly negatively skewed, and therefore not normally distributed. With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly positively skewed, and therefore not normally distributed. With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is bimodal, and therefore not normally distributed. With the sample mean being much greater than the sample median, and with the sample being regarded as representative of the population, it seems very likely that the population is strongly negatively skewed, and therefore not normally distributed.
In a survey, the sample consisted of 1087 adults who were parents of school-aged children. The sample was selected in a way that makes it reasonable to regard it as representative of the population
of parents of school-aged children. One question on the survey asked respondents how much time (in hours) per month they spent volunteering at their children's school during the previous school
year. The following summary statistics for time volunteered per month are given below.
n = 1087
x = 5.5
median = 1
Transcribed Image Text:In a survey, the sample consisted of 1087 adults who were parents of school-aged children. The sample was selected in a way that makes it reasonable to regard it as representative of the population of parents of school-aged children. One question on the survey asked respondents how much time (in hours) per month they spent volunteering at their children's school during the previous school year. The following summary statistics for time volunteered per month are given below. n = 1087 x = 5.5 median = 1
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