Question

# Recently, commuters in Minneapolis have protested on social media, saying commuting time has increased due to...

Recently, commuters in Minneapolis have protested on social media, saying commuting time has increased due to a number of badly-designed construction projects on main roads into and out of the city. A random sample of 72 commuters revealed an average commuting time of 46.8 minutes with a standard deviation of 6.90 minutes.

If you were to calculate a 95% confidence interval, what value would you use for the critical value t*?

Question 12 options:

 1.645 1.993 1.994 1.96

Question 13 (1 point)

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Recently, commuters in Minneapolis have protested on social media, saying commuting time has increased due to a number of badly-designed construction projects on main roads into and out of the city. A random sample of 72 commuters revealed an average commuting time of 46.8 minutes with a standard deviation of 6.90 minutes.

Calculate a 95% confidence interval for the true mean commute time for Minneapolis commuters.

Question 13 options:

 45.25 to 48.35 45.18 to 48.42 44.98 to 48.78 44.55 to 49.03

Question 14 (1 point)

Recently, commuters in Minneapolis have protested on social media, saying commuting time has increased due to a number of badly-designed construction projects on main roads into and out of the city. A random sample of 72 commuters revealed an average commuting time of 46.8 minutes with a standard deviation of 6.90 minutes.

What would be a 99% confidence interval for the true mean commute time for Minneapolis commuters? (Hint: you'll have to find a new number to use for the critical value using the StatKey applet)

Question 14 options:

 (44.85, 48.75) (44.75, 48.85) (44.65, 48.95) (44.55, 49.05)

We need to construct the 95% confidence interval for the population mean \muμ. The following information is provided:

 Sample Mean 46.8 Population Standard Deviation 6.9 Sample Size 72

The critical value for α=0.05 is z_c =1.96. The corresponding confidence interval is computed as shown below:

CI=(45.18, 48.42)

We need to construct the 99% confidence interval for the population mean \muμ. The following information is provided:

 Sample Mean 46.8 Population Standard Deviation 6.9 Sample Size 72

The critical value for α=0.05 is z_c =1.96. The corresponding confidence interval is computed as shown below:

CI = (44.75,48.85)​

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