A. Find the following values in the t-table: a. to.001, when v=15 b. to.005, when v=60 c. to.40, when v= 25 d. to.15, when v= 100 e. to.02, when v= 30

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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Estimation of Parameters
A. Find the following values in the t-table:
a. to.001, when v=15
b. to.005, when v=60
c. to.40, when v= 25
d. to.15, when v= 100
e. to.02, when v= 30
B. Find the following probabilities using the t-table if X~t20
a. P(T > 0.860)
b. P(T < - 1.325)
C. Find k such that P(k< T < 2.947) = 0.845 when T~t5
D. Find the values of the t-distribution that bound the middle
a. 0.80 of the area under the curve for the distribution v=18
b. 0.99 of the area under the curve for the distribution with v=15
E. A manufacturing firm claims that the batteries used in their electronic
games will last an average of 25 hours. To maintain tis average, 15
batteries are tested each month. The computed t- value falls between -
to.00s and to.0o05, the firm is satisfied with its claim. What conclusion should
the firm fraw froma sample that has a mean of 23.5 hours and standard
deviation s= 3 hours? Assume the distribution of battery lives to be
approximately normal.
Transcribed Image Text:Estimation of Parameters A. Find the following values in the t-table: a. to.001, when v=15 b. to.005, when v=60 c. to.40, when v= 25 d. to.15, when v= 100 e. to.02, when v= 30 B. Find the following probabilities using the t-table if X~t20 a. P(T > 0.860) b. P(T < - 1.325) C. Find k such that P(k< T < 2.947) = 0.845 when T~t5 D. Find the values of the t-distribution that bound the middle a. 0.80 of the area under the curve for the distribution v=18 b. 0.99 of the area under the curve for the distribution with v=15 E. A manufacturing firm claims that the batteries used in their electronic games will last an average of 25 hours. To maintain tis average, 15 batteries are tested each month. The computed t- value falls between - to.00s and to.0o05, the firm is satisfied with its claim. What conclusion should the firm fraw froma sample that has a mean of 23.5 hours and standard deviation s= 3 hours? Assume the distribution of battery lives to be approximately normal.
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