The sample size is large enough. The population is normally distributed. The population standard deviation is known. The margin of error is unknown. (b) Which distribution should be used to find the critical value? (Select the correct answer.) The z-distribution because ? is known. The t-distribution because ? is unknown. The z-distribution because the sample mean is large enough. The t-distribution because the sample size is small. (c) Construct a 90% confidence interval for the true average commute time. Round your answers to two decimal places. lower limit upper limit margin of error
A researcher wants to estimate the average time a person spends commuting to Boston. The researcher chooses a random sample of 22 people and finds that their average commute is 51 minutes with a standard deviation of 17 minutes. Assume that commute times are
The sample size is large enough.
The population is normally distributed.
The population standard deviation is known.
The margin of error is unknown.
(b) Which distribution should be used to find the critical value? (Select the correct answer.)
The z-distribution because ? is known.
The t-distribution because ? is unknown.
The z-distribution because the sample mean is large enough.
The t-distribution because the sample size is small.
(c) Construct a 90% confidence interval for the true average commute time. Round your answers to two decimal places.
lower limit | |
upper limit | |
margin of error |
Step by step
Solved in 2 steps with 2 images