Probability and Statistical Inference (9th Edition)
9th Edition
ISBN: 9780321923271
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Publisher: PEARSON
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Chapter 8.1, Problem 7E
Vitamin B6 is one of the vitamins in a multiple vitamin pill manufactured by a pharmaceutical company. The pills are produced with a
A consumer group suspects that
(a) Define a critical region to test
(b) If the 20 pills yielded a mean of
(c) What is the approximate p-value of this test?
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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 Ho: H= 8 ppb; H,: H > 8 ppb
O Ho: H 8 ppb; H: H = 8 ppb
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O 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.
O The Student's t, since the sample size is large and a is unknown.
What is…
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…
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 = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic
in this well is less than 8 ppb? Use a = 0.01.
n USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: H = 8 ppb; H,: u > 8 ppb
O Ho: H = 8 ppb; H,: H + 8 ppb
O Ho: H 8 ppb; H,: u = 8 ppb
O Ho: H = 8 ppb; H,: µ 0.100
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O 0.005 < P-value < 0.010
P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value.
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Probability and Statistical Inference (9th Edition)
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