Explain why it is appropriate to use the t confidence interval to estimate the mean time spent volunteering for the population of parents of school-aged children even though the population distribution is not approximately normal. Since n is less than 30, the sample size is small enough for us to use the t confidence interval, even though the population distribution is not approximately normal. Since n is less than 30, the sample size is not large enough for us to use the z confidence interval, so we use the t confidence interval. Since n is larger than 30, the sample size is large enough for us to use the t confidence interval, even though the population distribution is not approximately normal. Since n is larger than 30, the sample size is too large for us to use the z confidence interval, so we use the t confidence interval.

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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
(c) Explain why it is appropriate to use the t confidence interval to estimate the mean time spent volunteering for the population of parents of school-aged children even though the population
distribution is not approximately normal.
Since n is less than 30, the sample size is small enough for us to use the t confidence interval, even though the population distribution is not approximately normal.
Since n is less than 30, the sample size is not large enough for us to use the z confidence interval, so we use the t confidence interval.
Since n is larger than 30, the sample size is large enough for us to use the t confidence interval, even though the population distribution is not approximately normal.
Since n is larger than 30, the sample size is too large for us to use the z confidence interval, so we use the t confidence interval.
Transcribed Image Text:(c) Explain why it is appropriate to use the t confidence interval to estimate the mean time spent volunteering for the population of parents of school-aged children even though the population distribution is not approximately normal. Since n is less than 30, the sample size is small enough for us to use the t confidence interval, even though the population distribution is not approximately normal. Since n is less than 30, the sample size is not large enough for us to use the z confidence interval, so we use the t confidence interval. Since n is larger than 30, the sample size is large enough for us to use the t confidence interval, even though the population distribution is not approximately normal. Since n is larger than 30, the sample size is too large for us to use the z confidence interval, so we use the t confidence interval.
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