Question

The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. A random sample of 11 vehicles is taken and results in a sample mean of 65 miles per hour and a sample standard deviation of 9 miles per hour. Find a 90% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places.

Name: the speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation a random sample of 11 vehicles is taken and results in a sample 52649
Uploaded: 2022-08-22T18:45:27-08:00
Duration: 1 min 35 s
Channel: T. L.
Description: the speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation a random sample of 11 vehicles is taken and results in a sample 52649

          The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. A random sample of 11 vehicles is taken and results in a sample mean of 65 miles per hour and a sample standard deviation of 9 miles per hour. Find a 90% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places.

Added by April T.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert T. L.

08/22/2022

Step 1

Given: Sample mean (\( \bar{x} \)) = 65 mph Sample standard deviation (s) = 9 mph Sample size (n) = 11 Confidence level = 90% Degrees of freedom = n - 1 = 11 - 1 = 10 The critical t-value for a 90% confidence level and 10 degrees of freedom is approximately Show more…

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The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. A random sample of 11 vehicles is taken and results in a sample mean of 65 miles per hour and a sample standard deviation of 9 miles per hour. Find a 90% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places.