are interested in estimating the average vehicle speed on I-40. You pick 25 vehicles at random and measure their speeds with a speed gun. The sample mean of speeds is 68 es/hour. Assume that the vehicle speeds follow a normal distribution with standard deviation 3 miles/hour. (a) Find a 95% confidence interval for the average vehicle speed on I-40. Answer to two decimal places. ( (b) Will the confidence interval be larger (in length) if we took a larger sample size? O Cannot say O Yes O No (c) Does the confidence interval in part (a) above contain the true average vehicle speed on I-40? O No O Yes O Cannot say

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You are interested in estimating the average vehicle speed on I-40. You pick 25 vehicles at random and measure their speeds with a speed gun. The sample mean of speeds is 68
miles/hour. Assume that the vehicle speeds follow a normal distribution with standard deviation 3 miles/hour.
(a) Find a 95% confidence interval for the average vehicle speed on I-40. Answer to two decimal places.
(b) Will the confidence interval be larger (in length) if we took a larger sample size?
O Cannot say
Yes
No
(c) Does the confidence interval in part (a) above contain the true average vehicle speed on I-40?
No
Yes
Cannot say
Transcribed Image Text:You are interested in estimating the average vehicle speed on I-40. You pick 25 vehicles at random and measure their speeds with a speed gun. The sample mean of speeds is 68 miles/hour. Assume that the vehicle speeds follow a normal distribution with standard deviation 3 miles/hour. (a) Find a 95% confidence interval for the average vehicle speed on I-40. Answer to two decimal places. (b) Will the confidence interval be larger (in length) if we took a larger sample size? O Cannot say Yes No (c) Does the confidence interval in part (a) above contain the true average vehicle speed on I-40? No Yes Cannot say
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