7.3.4 WP VS Suppose that Ô, and ①2 are unbiased estima- tors of the parameter 0. We know that V(Ô₁) = 10 and V(Ô2) = 4. Which estimator is better and in what sense is it better? Calculate the relative efficiency of the two estimators. 7.3.5 Suppose that ①₁, Ô 2, and ①3 are estimators of 0. We know that E(Ô₁) = E(Ô2) = 0, E(Ô3) ± 0, V(Ô₁) = 12, V(Ô₂) = 10, and E(Ô3 – 0)² = 6. Compare these three estimators. Which do you prefer? Why? - 7.3.6 WP Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. c. Calculate point estimates of the population variance and the population standard deviation. d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error. e. Calculate a point estimate of the proportion of all con- nectors in the population whose pull-off force is less than 73 pounds.
7.3.4 WP VS Suppose that Ô, and ①2 are unbiased estima- tors of the parameter 0. We know that V(Ô₁) = 10 and V(Ô2) = 4. Which estimator is better and in what sense is it better? Calculate the relative efficiency of the two estimators. 7.3.5 Suppose that ①₁, Ô 2, and ①3 are estimators of 0. We know that E(Ô₁) = E(Ô2) = 0, E(Ô3) ± 0, V(Ô₁) = 12, V(Ô₂) = 10, and E(Ô3 – 0)² = 6. Compare these three estimators. Which do you prefer? Why? - 7.3.6 WP Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. c. Calculate point estimates of the population variance and the population standard deviation. d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error. e. Calculate a point estimate of the proportion of all con- nectors in the population whose pull-off force is less than 73 pounds.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
Related questions
Question
Answer questions 7.3.4, 7.3.5 and 7.3.6 respectively
Transcribed Image Text:7.3.4 WP VS Suppose that Ô, and ①2 are unbiased estima-
tors of the parameter 0. We know that V(Ô₁) = 10 and V(Ô2) = 4.
Which estimator is better and in what sense is it better? Calculate
the relative efficiency of the two estimators.
7.3.5 Suppose that ①₁, Ô 2, and ①3 are estimators of 0. We
know that E(Ô₁) = E(Ô2) = 0, E(Ô3) ± 0, V(Ô₁) = 12, V(Ô₂) =
10, and E(Ô3 – 0)² = 6. Compare these three estimators. Which
do you prefer? Why?
-
7.3.6 WP Data on pull-off force (pounds) for connectors used
in an automobile engine application are as follows: 79.3, 75.1,
78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7,
75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0,
75.1, 76.8.
a. Calculate a point estimate of the mean pull-off force of
all connectors in the population. State which estimator you
used and why.
b. Calculate a point estimate of the pull-off force value that
separates the weakest 50% of the connectors in the population
from the strongest 50%.
Transcribed Image Text:c. Calculate point estimates of the population variance and
the population standard deviation.
d. Calculate the standard error of the point estimate found
in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all con-
nectors in the population whose pull-off force is less than
73 pounds.
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