The depletion time of a vital resource in a production process is believed to be normally distributed ocess is believ with a mean of μ = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: Ομ < 31 6 Ομ > 31 Ομ # 32.3 Ομ > 32.3 Ομ < 32.3 Ομ # 31 b. At a = 0.04, determine the critical value (2 decimal places): Critical Value = Day 22 nent todell 212 Tol visszavou PURAT 0 Restong Titov 62 Jenoltasjong Tok c. The value of the test statistic (2 decimal places) = 8 13 901

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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pierpio.su
746
The depletion time of a vital resource in a production process is believed to be normally distributed
with a mean of u = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed
production team introduced new efficiencies that they claim make the depletion of the resource slower.
To test this claim, a random sample of n = 10 production shifts were taken and the observed mean
depletion time of the resource was = 32.3 minutes.
a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha:
0
Ομ # 32.3
Ομ > 32.3
Ομ < 32.3
Ομ # 31
Ομ < 31
Ομ > 31
b. At a = 0.04, determine the critical value (2 decimal places):
DO 222 nent edell 21 20
Critical Value =
thotteslong Tibor que
001,222 por horistil allendizaslong Il sol vesi
c. The value of the test statistic (2 decimal places) =
ar nadgit
о There is
08
21 2/2701220
d. At a = 0.04, select the decision/conclusion:
NOOR
O
Reject the mill hypothesis Ⓒ Fail to reject the null hypothesis
Select an answer
CO
Uve
Select an answer
make the depletion of the resource slower.
O There is not
sufficient evidence to conclude that the new efficiencies introduced
Transcribed Image Text:pierpio.su 746 The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of u = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: 0 Ομ # 32.3 Ομ > 32.3 Ομ < 32.3 Ομ # 31 Ομ < 31 Ομ > 31 b. At a = 0.04, determine the critical value (2 decimal places): DO 222 nent edell 21 20 Critical Value = thotteslong Tibor que 001,222 por horistil allendizaslong Il sol vesi c. The value of the test statistic (2 decimal places) = ar nadgit о There is 08 21 2/2701220 d. At a = 0.04, select the decision/conclusion: NOOR O Reject the mill hypothesis Ⓒ Fail to reject the null hypothesis Select an answer CO Uve Select an answer make the depletion of the resource slower. O There is not sufficient evidence to conclude that the new efficiencies introduced
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