Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Source Sum Degrees Mean of Variation of Squares p-value of Freedom Square Regression Error Total 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 =

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Consider the following sample of production volumes and total cost data for a manufacturing operation.
Production Volume
Total Cost
(units)
($)
400
4,100
450
5,100
550
5,400
600
6,000
700
6,500
750
7,000
This data was used to develop an estimated regression equation, ŷ = 1,405.33 + 7.44x, relating production volume and cost for a
particular manufacturing operation. Use a = 0.05 to test whether the production volume is significantly related to the total cost. (Use th
F test.)
State the null and alternative hypotheses.
O Ho: B1 # 0
H: B = 0
O Ho: Po # 0
H: Po = 0
O Ho: B = 0
H: P 0
O Ho: B1 2 0
Ha: B1 < 0
O Ho: Po = 0
H: Po # 0
Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
Sum
Degrees
Mean
of Variation
of Squares
of Freedom
Square
p-value
Regression
Error
Total
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Do not reject H. We conclude that the relationship between production volume and total cost is significant.
Reject Ho. We conclude that the relationship between production volume and total cost is significant.
Do not reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
Reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
Transcribed Image Text:Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume Total Cost (units) ($) 400 4,100 450 5,100 550 5,400 600 6,000 700 6,500 750 7,000 This data was used to develop an estimated regression equation, ŷ = 1,405.33 + 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 th F test.) State the null and alternative hypotheses. O Ho: B1 # 0 H: B = 0 O Ho: Po # 0 H: Po = 0 O Ho: B = 0 H: P 0 O Ho: B1 2 0 Ha: B1 < 0 O Ho: Po = 0 H: Po # 0 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square p-value Regression Error Total 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 H. We 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. Do not reject Ho. We cannot conclude that the relationship between production volume and total cost is significant. Reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
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