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

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 normally distributed.

(a) Why are we allowed to assume that the sampling distribution in this problem is approximately normal? (Select the correct answer)

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          
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