You may need to use the appropriate technology to answer this question. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume Total Cost (units) ($) 400 4,100 4,900 Ho: B₂ ZO H₂: B₂ <0 Ho: ₁0 H₂: P₂-0 ⒸH₂: Boo H₂: Po-o Ho: P₁0 H₂: P₂0 Error 450 This data was used to develop an estimated regression equation, 91,338.67 + 7.44x, relating production volume and cost for a particular manufacturing operation. Use a 0.05 to test whether the production volume is significantly related to the total cost. (Use the Ftest.) State the null and alternative hypotheses. Ho: Po-0 H₂: Boo Total 550 600 700 750 5,400 6,000 6,300 7,000 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Sum Degrees Source of Variation of Squares of Freedom Regression Mean Square p-value

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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 cannot conclude that the relationship between production volume and total cost is significant.
O Reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
Reject Ho. We conclude that the relationship between production volume and total cost is significant.
O Do not reject Ho. We conclude that the relationship between production volume and total cost is significant.
Transcribed Image Text: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 cannot conclude that the relationship between production volume and total cost is significant. O Reject Ho. We cannot conclude that the relationship between production volume and total cost is significant. Reject Ho. We conclude that the relationship between production volume and total cost is significant. O Do not reject Ho. We conclude that the relationship between production volume and total cost is significant.
You may need to use the appropriate technology to answer this question.
Consider the following sample of production volumes and total cost data for a manufacturing operation.
O Ho: B₁ ≥ 0
Ha: B₁ <0
Production Volume Total Cost
(units)
($)
O Ho: B₁ * 0
#
Ha: B₁ = 0
ọ Ho: Bo #0
Ha: Bo = 0
ⒸH₁: B₁ = 0
Ha: B₁ * 0
Regression
400
Error
450
Total
550
600
700
This data was used to develop an estimated regression equation, y = 1,338.67 + 7.44x, relating production volume and cost for a particular manufacturing operation. Use α = 0.05 to test whether the production volume is significantly related to the total cost. (Use the F test.)
State the null and alternative hypotheses.
ọ Ho: Bo = 0
Ha: Bo # 0
750
Source
Sum
of Variation of Squares
4,100
4,900
5,400
6,000
Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
6,300
7,000
Degrees
of Freedom
Mean
Square
F
p-value
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following sample of production volumes and total cost data for a manufacturing operation. O Ho: B₁ ≥ 0 Ha: B₁ <0 Production Volume Total Cost (units) ($) O Ho: B₁ * 0 # Ha: B₁ = 0 ọ Ho: Bo #0 Ha: Bo = 0 ⒸH₁: B₁ = 0 Ha: B₁ * 0 Regression 400 Error 450 Total 550 600 700 This data was used to develop an estimated regression equation, y = 1,338.67 + 7.44x, relating production volume and cost for a particular manufacturing operation. Use α = 0.05 to test whether the production volume is significantly related to the total cost. (Use the F test.) State the null and alternative hypotheses. ọ Ho: Bo = 0 Ha: Bo # 0 750 Source Sum of Variation of Squares 4,100 4,900 5,400 6,000 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) 6,300 7,000 Degrees of Freedom Mean Square F p-value
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