Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 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, - 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 the F test.) State the null and alternative hypotheses. O Hại 8, 20 O Hại e -0 O Mei -0 O Hei 0 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Regression Error Total

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