Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. T
Posted: Wed Jul 06, 2022 12:24 pm
Consider the following data on price ($) and the overall scorefor six stereo headphones tested by a certain magazine. The overallscore is based on sound quality and effectiveness of ambient noisereduction. Scores range from 0 (lowest) to 100 (highest).
(a)
The estimated regression equation for this data is
ลท = 23.595318 + 0.314047x,
where x = price($) and y = overall score. Doesthe t test indicate a significant relationshipbetween price and the overall score? Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0 H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the p-value. (Round your answer to fourdecimal places.)
p-value =
What is your conclusion?
Reject H0. We cannot conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We conclude that therelationship between price ($) and overall score issignificant. Reject H0.We conclude that the relationship between price ($) and overallscore is significant.Do not reject H0. Wecannot conclude that the relationship between price ($) and overallscore is significant.
(b)
Test for a significant relationship usingthe F test. Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0 H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0H0: ๐ฝ0 =0Ha: ๐ฝ0 โ 0
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to threedecimal places.)
p-value =
What is your conclusion?
Do not reject H0. We conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the relationship between price ($) and overall score issignificant. Do notreject H0. We cannot conclude that therelationship between price ($) and overall score issignificant.Reject H0. We conclude thatthe relationship between price ($) and overall score issignificant.
(c)
Show the ANOVA table for these data. (Roundyour p-value to three decimal places and all othervalues to two decimal places.)
Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) A B ั D E F Ho: Pโ = 0 Hโ: Bโ * 0 O Ho: Bโ 20 Hโ: Bโ <0 180 แป Hoi Boto 150 Ha: Bo = 0 95 70 70 35 Score 74 73 61 (a) The estimated regression equation for this data is ลท = 23.595318+ 0.314047x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use ฮฑ = 0.05. 58 State the null and alternative hypotheses. O Ho: Bโ * 0 Ha: Pโ = 0 38 26 แป Hoi Bo=0 Ha: Po 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We conclude that the relationship between price ($) and overall score is significant.
(b) Test for a significant relationship using the F test. Use ฮฑ = 0.05. State the null and alternative hypotheses. O Ho: Bโ โฅ 0 Ha: Bโ <0 แป Hoi Do#0 Ha: Po = 0 O Ho: Bโ * 0 Hโ: Pโ = 0 Ho: Bโ = 0 Hโ: Bโ * 0 แป Hoi Bo = 0 Ha: Po 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We conclude that the relationship between price ($) and overall score is significant. (c) Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.) Mean Square Source of Variation Regression Error Total Sum Degrees of Squares of Freedom p-value
(a)
The estimated regression equation for this data is
ลท = 23.595318 + 0.314047x,
where x = price($) and y = overall score. Doesthe t test indicate a significant relationshipbetween price and the overall score? Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0 H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the p-value. (Round your answer to fourdecimal places.)
p-value =
What is your conclusion?
Reject H0. We cannot conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We conclude that therelationship between price ($) and overall score issignificant. Reject H0.We conclude that the relationship between price ($) and overallscore is significant.Do not reject H0. Wecannot conclude that the relationship between price ($) and overallscore is significant.
(b)
Test for a significant relationship usingthe F test. Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0 H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0H0: ๐ฝ0 =0Ha: ๐ฝ0 โ 0
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to threedecimal places.)
p-value =
What is your conclusion?
Do not reject H0. We conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the relationship between price ($) and overall score issignificant. Do notreject H0. We cannot conclude that therelationship between price ($) and overall score issignificant.Reject H0. We conclude thatthe relationship between price ($) and overall score issignificant.
(c)
Show the ANOVA table for these data. (Roundyour p-value to three decimal places and all othervalues to two decimal places.)
- Consider The Following Data On Price And The Overall Score For Six Stereo Headphones Tested By A Certain Magazine T 1 (115.09 KiB) Viewed 15 times
(b) Test for a significant relationship using the F test. Use ฮฑ = 0.05. State the null and alternative hypotheses. O Ho: Bโ โฅ 0 Ha: Bโ <0 แป Hoi Do#0 Ha: Po = 0 O Ho: Bโ * 0 Hโ: Pโ = 0 Ho: Bโ = 0 Hโ: Bโ * 0 แป Hoi Bo = 0 Ha: Po 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We conclude that the relationship between price ($) and overall score is significant. (c) Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.) Mean Square Source of Variation Regression Error Total Sum Degrees of Squares of Freedom p-value