The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. If a random sample of 38 vehicles is taken to estimate the mean vehicle speed, what t-score should be used to find a 99% confidence interval estimate for the population mean

Question

Meghan Maddox

Mathematics

22 September, 08:42

The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. If a random sample of 38 vehicles is taken to estimate the mean vehicle speed, what t-score should be used to find a 99% confidence interval estimate for the population mean

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Answers (1)

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Hugo Bishop · Answer 1

The t-score of 2.715 should be used

Step-by-step explanation:

Degrees of freedom = => n - 1 = => 38 - 1 = => 37

to find 99% confidence interval, Hence,

Find t0.005 in front of 37 degrees of freedom,

Therefore the answer is, t-score = 2.715