(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean processing time of computer 1 is less than the mean processing time of computer 2? O Yes O No Explanation Check X Ⓒ2022 McGraw 30

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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70°F
Cloudy
The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written for computer 1 to handle its tasks,
while computer 2 is still using the preexisting routine. The center wants to determine if the processing time for computer 1's tasks is now less than that of
computer 2. A random sample of 11 processing times from computer 1 showed a mean of 39 seconds with a standard deviation of 19 seconds, while a random
sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 57 seconds with a standard deviation of 20
seconds.
Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal.
Can we conclude, at the 0.05 level of significance, that μ₁, the mean processing time of computer 1, is less than μ2, the mean processing time of computer 2?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
HD
ID 144Hz
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H₁ : H₁ = H₂
H₁:₁ <H₂
(b) Determine the type of test statistic to use.
Degrees of freedom: 19
(c) Find the value of the test statistic. (Round to three or more decimal places.)
-2.114
t
Explanation
Check
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2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Transcribed Image Text:70°F Cloudy The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written for computer 1 to handle its tasks, while computer 2 is still using the preexisting routine. The center wants to determine if the processing time for computer 1's tasks is now less than that of computer 2. A random sample of 11 processing times from computer 1 showed a mean of 39 seconds with a standard deviation of 19 seconds, while a random sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 57 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that μ₁, the mean processing time of computer 1, is less than μ2, the mean processing time of computer 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) HD ID 144Hz (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : H₁ = H₂ H₁:₁ <H₂ (b) Determine the type of test statistic to use. Degrees of freedom: 19 (c) Find the value of the test statistic. (Round to three or more decimal places.) -2.114 t Explanation Check O Search, 3 X a X S O<O P 0=0 OSO 020 5 <Q 믐 >O Español W ? Aa 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
F
udy
=
Hypothesis test for the difference of population means: t test fo...
complete the parts
TEMONTT
Langu-35
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H₁ H₁ = H₂
H₁ H₁ <H₂
(b) Determine the type of test statistic to use.
t
Degrees of freedom: 19
(c) Find the value of the test statistic. (Round to three or more decimal places.)
-2.114
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
0
(e) Can we conclude that the mean processing time of computer 1 is less than the mean
processing time of computer 2?
Yes O No
Explanation
Check
O Search
e
3
|x
□□
O
0=0 OSO
X
S
0<0
X
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1/5
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use
W
Transcribed Image Text:F udy = Hypothesis test for the difference of population means: t test fo... complete the parts TEMONTT Langu-35 Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ H₁ = H₂ H₁ H₁ <H₂ (b) Determine the type of test statistic to use. t Degrees of freedom: 19 (c) Find the value of the test statistic. (Round to three or more decimal places.) -2.114 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean processing time of computer 1 is less than the mean processing time of computer 2? Yes O No Explanation Check O Search e 3 |x □□ O 0=0 OSO X S 0<0 X Р S 믐 <D 1/5 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use W
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