64. Production Line Fill Weights. A production line operates with a mean filling weight problem and of 16 ounces per container. Overfilling or underfilling presents a serious when detected requires the operator to shut down the production line to readjust the

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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#64
Chapter 9 Hypothesis Tests
laque
.8 ounces is
filling mechanism. From past data, a population standard deviation o =
assumed. A quality control inspector selects a sample of 30 items every hour and at
that time makes the decision of whether to shut down the line for readjustment. The
level of significance is a = .05.
a. State the hypothesis test for this quality control application.
b. If a sample mean of x = 16.32 ounces were found, what is the p-value? What action
would you recommend?
c. If a sample mean of x = 15.82 ounces were found, what is the p-value? What action
would you recommend?
d. Use the critical value approach. What is the rejection rule for the preceding
hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same
conclusion?
65. Scholarship Examination Scores. At Western University the historical mean of
scholarship examination scores for freshman applications is 900. A historical popula-
tion standard deviation o = 180 is assumed known. Each year, the assistant dean use
new
Transcribed Image Text:Chapter 9 Hypothesis Tests laque .8 ounces is filling mechanism. From past data, a population standard deviation o = assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a = .05. a. State the hypothesis test for this quality control application. b. If a sample mean of x = 16.32 ounces were found, what is the p-value? What action would you recommend? c. If a sample mean of x = 15.82 ounces were found, what is the p-value? What action would you recommend? d. Use the critical value approach. What is the rejection rule for the preceding hypothesis testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? 65. Scholarship Examination Scores. At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popula- tion standard deviation o = 180 is assumed known. Each year, the assistant dean use new
Sample Size for a One-Tailed Hypothesis Test About a Population Mean
(Z₁ + Zg)³0²
(μo -μ)²
n =
P - Po
Po(1-Po)
n
In a two-tailed test, replace z with Za/2.
(9.4)
(9.7)
SUPPLEMENTARY EXERCISES
64. Production Line Fill Weights. A production line operates with a mean filling weight
of 16 ounces per container. Overfilling or underfilling presents a serious problem and
when detected requires the operator to shut down the production line to readjust the
Transcribed Image Text:Sample Size for a One-Tailed Hypothesis Test About a Population Mean (Z₁ + Zg)³0² (μo -μ)² n = P - Po Po(1-Po) n In a two-tailed test, replace z with Za/2. (9.4) (9.7) SUPPLEMENTARY EXERCISES 64. Production Line Fill Weights. A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the
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