A consumer tech company is testing whether a new headphone model offers better sound quality than their current best-selling model. To make a fair comparison, they invite a group of volunteers to participate in a listening test. Each volunteer listens to the same set of songs through both headphone models. After each listening session, the volunteer rates the sound quality on a scale from 0 to 100. The team wants to know whether the new model receives higher sound quality ratings on average than the current one. The data is found in the accompanying data file. Use a = 0.05 for all calculations. Download .csv file Let μnew the average sound quality rate of the new headphone model current the average sound quality rate of the current best-selling model new-current be the diffence between μnew-new-current (a) Select the appropriate hypotheses to test whether the new model receives higher sound quality ratings on average than the current one. A. Ho new-current 0 HA Pnew-current > 0 B. Ho: new Heurrent 0 HA new Heurrent < 0 C. Ho new-current 0 HA new-current <0 Mcurrent 0 HA new D. Ho μnew E. Ho μnew current F. Hoμnew-current G. Hoμnew current current <0 0 HA: Pnew current > 0 0 HA Pnew-current > 0 0 HA new current <0 (b) Does there appear to be a difference in the variation in sound quality rate between the new and the current headphone? A. There appears to be unequal variation in sound quality rate between the new and the current headphone. B. There appears to be less variation in sound quality rate between the new and the current headphone. C. There appears to be equal variation in sound quality rate between the new and the current headphone. D. There appears to be more variation in sound quality rate between the new and the current headphone. E. Since this is a Match-paired t-test, we do not perform the test for equal variances. (c) Report the p-value of the test you ran in part (b), the Test for Equal Variances. Use at least three decimals in your answer. P-value = Enter 1 if you are performing a Match-paired t-test
A consumer tech company is testing whether a new headphone model offers better sound quality than their current best-selling model. To make a fair comparison, they invite a group of volunteers to participate in a listening test. Each volunteer listens to the same set of songs through both headphone models. After each listening session, the volunteer rates the sound quality on a scale from 0 to 100. The team wants to know whether the new model receives higher sound quality ratings on average than the current one. The data is found in the accompanying data file. Use a = 0.05 for all calculations. Download .csv file Let μnew the average sound quality rate of the new headphone model current the average sound quality rate of the current best-selling model new-current be the diffence between μnew-new-current (a) Select the appropriate hypotheses to test whether the new model receives higher sound quality ratings on average than the current one. A. Ho new-current 0 HA Pnew-current > 0 B. Ho: new Heurrent 0 HA new Heurrent < 0 C. Ho new-current 0 HA new-current <0 Mcurrent 0 HA new D. Ho μnew E. Ho μnew current F. Hoμnew-current G. Hoμnew current current <0 0 HA: Pnew current > 0 0 HA Pnew-current > 0 0 HA new current <0 (b) Does there appear to be a difference in the variation in sound quality rate between the new and the current headphone? A. There appears to be unequal variation in sound quality rate between the new and the current headphone. B. There appears to be less variation in sound quality rate between the new and the current headphone. C. There appears to be equal variation in sound quality rate between the new and the current headphone. D. There appears to be more variation in sound quality rate between the new and the current headphone. E. Since this is a Match-paired t-test, we do not perform the test for equal variances. (c) Report the p-value of the test you ran in part (b), the Test for Equal Variances. Use at least three decimals in your answer. P-value = Enter 1 if you are performing a Match-paired t-test
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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Please help with this following question
I'm not too sure if question (a) and (b) are correct
and not sure how to calculate (c)
The csv data is below
"","New","Current"
"1","67",66
"2","77",73
"3","76",73
"4","76",76
"5","77",79
"6","84",76
"7","71",78
"8","84",72
"9","73",76
"10","71",73
"11","72",77
"12","70",72
"13","75",72
"14","84",71
"15","77",73
"16","65",72
"17","69",73
"18","71",73
"19","79",71
"20","75",78
"21","76",69
"22","73",74
"23","76",71
"24","64",74
"25","81",78
"26","79",76
"27","70",77
"28","79",71
"29","84",73
"30","79",69
"31","69",72
"32","81",76
"33","77",70
"34","77",71
"35","71",69
"36","67",72
"37","70",76
"38","77",73
"39","82",73
"40","72",73

Transcribed Image Text:A consumer tech company is testing whether a new headphone model offers better sound quality than their current best-selling model.
To make a fair comparison, they invite a group of volunteers to participate in a listening test.
Each volunteer listens to the same set of songs through both headphone models.
After each listening session, the volunteer rates the sound quality on a scale from 0 to 100. The team wants to know whether the new model receives higher sound quality ratings on average than the current one.
The data is found in the accompanying data file. Use a = 0.05 for all calculations.
Download .csv file
Let μnew the average sound quality rate of the new headphone model
current the average sound quality rate of the current best-selling model
new-current be the diffence between μnew-new-current
(a) Select the appropriate hypotheses to test whether the new model receives higher sound quality ratings on average than the current one.
A. Ho new-current 0 HA Pnew-current > 0
B. Ho: new
Heurrent 0 HA new Heurrent < 0
C. Ho new-current 0 HA new-current <0
Mcurrent 0 HA new
D. Ho μnew
E. Ho μnew
current
F. Hoμnew-current
G. Hoμnew
current
current <0
0 HA: Pnew current > 0
0 HA Pnew-current > 0
0 HA new current <0
(b) Does there appear to be a difference in the variation in sound quality rate between the new and the current headphone?
A. There appears to be unequal variation in sound quality rate between the new and the current headphone.
B. There appears to be less variation in sound quality rate between the new and the current headphone.
C. There appears to be equal variation in sound quality rate between the new and the current headphone.
D. There appears to be more variation in sound quality rate between the new and the current headphone.
E. Since this is a Match-paired t-test, we do not perform the test for equal variances.
(c) Report the p-value of the test you ran in part (b), the Test for Equal Variances. Use at least three decimals in your answer.
P-value = Enter 1 if you are performing a Match-paired t-test
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