12. 6.5.1 (tb_76) The distribution of times it takes Mia to get to work each day is approximately normally distributed with a mean of 28.5 minutes and a standard deviation of 3.1 minutes. Consider the upcoming week of 5 days as a random sample of all days Mia goes to work. a. Calculate the mean of the sampling distribution of the sample mean time required for Mia to get to work. b. Calculate the standard deviation of the sampling distribution of the sample mean time required for Mia to get to work. 13. 6.5.2 Calculate the probability that in a random sample of 5 days, the sample mean time for Mia to get to work would be less than 30 minutes.

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12. 6.5.1 (tb_76) The distribution of times it takes Mia to get to work each day is approximately normally
distributed with a mean of 28.5 minutes and a standard deviation of 3.1 minutes. Consider the upcoming week
of 5 days as a random sample of all days Mia goes to work.
a. Calculate the mean of the sampling distribution of the sample mean time required for Mia to get to work.
b. Calculate the standard deviation of the sampling distribution of the sample mean time required for Mia to
get to work.
13. 6.5.2 Calculate the probability that in a random sample of 5 days, the sample mean time for Mia to get to
work would be less than 30 minutes.
Transcribed Image Text:12. 6.5.1 (tb_76) The distribution of times it takes Mia to get to work each day is approximately normally distributed with a mean of 28.5 minutes and a standard deviation of 3.1 minutes. Consider the upcoming week of 5 days as a random sample of all days Mia goes to work. a. Calculate the mean of the sampling distribution of the sample mean time required for Mia to get to work. b. Calculate the standard deviation of the sampling distribution of the sample mean time required for Mia to get to work. 13. 6.5.2 Calculate the probability that in a random sample of 5 days, the sample mean time for Mia to get to work would be less than 30 minutes.
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