You may need to use the appropriate technology to answer this question. Consider the following data on price ($) and the
Posted: Wed Jul 06, 2022 12:23 pm
You may need to use the appropriate technology toanswer this question.
Consider the following data on price ($) 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 = 26.204013 + 0.287960x,
where x = price($) and y = overall score. Doesthe t test indicate a significant relationshipbetween price and the overall score? Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0 H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 < 0
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the p-value. (Round your answer to fourdecimal places.)
p-value =
What is your conclusion?
Reject H0. We conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We cannot conclude that therelationship between price ($) and overall score issignificant. Do notreject H0. We conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the relationship between price ($) and overall score issignificant.
(b)
Test for a significant relationship usingthe F test. Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0H0: ๐ฝ1 =0Ha: ๐ฝ1 โ 0 H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 = 0
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to threedecimal places.)
p-value =
What is your conclusion?
Reject H0. We conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We conclude that therelationship between price ($) and overall score issignificant. Do notreject H0. We cannot conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the 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 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 = 26.204013 + 0.287960x,
where x = price($) and y = overall score. Doesthe t test indicate a significant relationshipbetween price and the overall score? Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 =0 H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ1 = 0Ha: ๐ฝ1 โ 0H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 < 0
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the p-value. (Round your answer to fourdecimal places.)
p-value =
What is your conclusion?
Reject H0. We conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We cannot conclude that therelationship between price ($) and overall score issignificant. Do notreject H0. We conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the relationship between price ($) and overall score issignificant.
(b)
Test for a significant relationship usingthe F test. Use ๐ผ = 0.05.
State the null and alternative hypotheses.
H0: ๐ฝ0 = 0Ha: ๐ฝ0 โ 0H0: ๐ฝ1 =0Ha: ๐ฝ1 โ 0 H0: ๐ฝ1 โฅ 0Ha: ๐ฝ1 <0H0: ๐ฝ1 โ 0Ha: ๐ฝ1 =0H0: ๐ฝ0 โ 0Ha: ๐ฝ0 = 0
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to threedecimal places.)
p-value =
What is your conclusion?
Reject H0. We conclude that therelationship between price ($) and overall score is significant.Donot reject H0. We conclude that therelationship between price ($) and overall score issignificant. Do notreject H0. We cannot conclude that therelationship between price ($) and overall score issignificant.Reject H0. We cannot concludethat the 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.)