Introduction to Statistical Quality Control
Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Chapter 4, Problem 55E

Suppose that you are testing H0: μ = μ2 versus H1: μμ0 with a n1 = n2 = 10. Use the table of the t distribution percentage points of find lower and upper bounds on the P-value of the following observed values of the test statistic:

  1. (a) t0 = 2.48
  2. (b) t0 = −2.41
  3. (c) t0 = 2.98
  4. (d) t0 = 1.89
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Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…
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Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic: (a) Z0 = 1.95 (b) Z0 = -0.10

Chapter 4 Solutions

Introduction to Statistical Quality Control

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