Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 1AYU
  1. (a) Determine the critical value for a right-tailed test of a population standard deviation with 18 degrees of freedom at the α = 0.05 level of significance.
  2. (b) Determine the critical value for a left-tailed test of a population standard deviation for a sample of size n = 23 at the α = 0.1 level of significance.
  3. (c) Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 30 at the α = 0.05 level of significance.
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The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of nineteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 289.2 with a sample standard deviation of 6.3. Twenty-two specimens of treated ground water had an average hexane concentration of 285.3 with a standard deviation of 7.6.It is reasonable to assume that both samples come from populations that are approximately normal. Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the α = 0.10 level of significance. Use 6-step p-value method.
The mean noise level of 20 randomly selected areas designated as “casualty doors” was 63.1 dBA, and the sample standard deviation is 4.1 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA, and the sample standard deviation was 7.5 dBA. At α = 0.05, can it be concluded that there is a difference in the means?   What is the type of test to be used?
The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of twelve specimens of untreated ground water taken near a municipal landfill. The sample mean was 720.2 with a sample standard deviation of 8.8. Eleven specimens of treated ground water had an average hexane concentration of 695.1 with a standard deviation of 9.1.It is reasonable to assume that both samples come from populations that are approximately normal. Construct a 90% confidence interval for the reduction of hexane concentration after treatment. Interpret the results.
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