1. The Williamson County Highway Department wants to know how many times drivers
ID: 3337499 • Letter: 1
Question
1. The Williamson County Highway Department wants to know how many times drivers travel on Route 13 during a given week. One hundred sample drivers revealed they travel on Route 13 an average of 20 times during a given week with a standard deviation of six times A. What is the population mean, using a 90 percent confidence interval? (1/2 point) B. What can be concluded from the results? (1/2 point) 2. Determine whether the finite population correction factor should be used to determine the 90% confidence interval for the mean number of times drivers travel on Route 13 during a given week (refer to question one) if the sample is 100 and there are only 1,500 drivers who use Route 13 during a given week: (1/2 point) If the finite population correction factor should be used, develop the 90% confidence interval below (refer to question 2 and part A of question I): (12 point) A. B. What can be concluded from the results? (1/2 point)Explanation / Answer
(1)
n = 100
x-bar = 20
s = 6
% = 90
Standard Error, SE = s/n = 6/100 = 0.6
Degrees of freedom = n - 1 = 100 -1 = 99
t- score = 1.660391157
Width of the confidence interval = t * SE = 1.66039115650626 * 0.6 = 0.996234694
Lower Limit of the confidence interval = x-bar - width = 20 - 0.996234693903756 = 19.00376531
Upper Limit of the confidence interval = x-bar + width = 20 + 0.996234693903756 = 20.99623469
The 90% confidence interval is [19, 21]
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