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In: Statistics and Probability

1 The Earth is structured in layers: crust, mantle, and core. A recent study was conducted...

1 The Earth is structured in layers: crust, mantle, and core. A recent study was conducted to estimate the mean depth of the upper mantle in a specific farming region in California. Twenty-six, n = 26 sample sites were selected at random from a normally distributed population of approximately N = 1598 sites, and the depth of the upper mantle was measured using changes in seismic velocity and density. The sample mean was 127.5 km and the sample standard deviation was 21.3 km. Suppose the depth of the upper mantle is normally distributed. Find a 90% confidence interval for the true mean depth of the upper mantle in this farming region.

  1. Determine the prerequisites have been met (3 pts):

  • Random sample:
  • n ≤ 0.05 of N:
  • the population is normally distributed or n ≤ 30:

  1. Construct the confidence interval (4 pts):
  1. Interpret the confidence interval, in a statement (1 pt):

Solutions

Expert Solution

TOPIC:Confidence interval for the population mean.

orchestra answered 1 year ago
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