A geologist studying the movement of the earth's crust at a particular location on California's

Name: A geologist studying the movement of the earth's crust at a particular location on California's San Andreas fault found many fractures in the local rock structure. In an attempt to determine the mean angle of the breaks, she sampled n=50 fractures and found the sample mean and standard deviation to be 39.8^∘ and 17.2^∘, respectively. Estimate the mean angular direction of the fractures and find the margin of error for your estimate.
Uploaded: 2023-07-04T14:01:50-08:00
Duration: 1 min 58 s
Channel: Madhur L

Question

A geologist studying the movement of the earth's crust at a particular location on California's San Andreas fault found many fractures in the local rock structure. In an attempt to determine the mean angle of the breaks, she sampled $n=50$ fractures and found the sample mean and standard deviation to be $39.8^{\circ}$ and $17.2^{\circ},$ respectively. Estimate the mean angular direction of the fractures and find the margin of error for your estimate.

          A geologist studying the movement of the earth's crust at a particular location on California's San Andreas fault found many fractures in the local rock structure. In an attempt to determine the mean angle of the breaks, she sampled $n=50$ fractures and found the sample mean and standard deviation to be $39.8^{\circ}$ and $17.2^{\circ},$ respectively. Estimate the mean angular direction of the fractures and find the margin of error for your estimate.

Added by Rebecca H.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Madhur L

07/04/2023

Step 1

We are given the sample mean ($\bar{x}$) and sample standard deviation ($s$) as $39.8^{\circ}$ and $17.2^{\circ}$, respectively. We also know the sample size ($n$) is 50. Show more…

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A geologist studying the movement of the earth's crust at a particular location on California's San Andreas fault found many fractures in the local rock structure. In an attempt to determine the mean angle of the breaks, she sampled $n=50$ fractures and found the sample mean and standard deviation to be $39.8^{\circ}$ and $17.2^{\circ},$ respectively. Estimate the mean angular direction of the fractures and find the margin of error for your estimate.