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: μ ≠ μ0 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:
- (a) t0 = 2.48
- (b) t0 = −2.41
- (c) t0 = 2.98
- (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.
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Chapter 4 Solutions
Introduction to Statistical Quality Control
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