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3 years ago

9

Stephen needs to place several cubic packages in a shipping box that measures 12 inches by 18 inches by 24 inches. Each cubic pa

ckage has a dimension of 2 inches on each side. Which is closest to the maximum number of cubes that can fit into the box?
200

800

400

650

1 answer:

jeka57 [31]3 years ago

5 0

12÷2=6
18÷2=9
24÷2=12
6×9×12=648
648=650(closest answer)

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Considering the parameter given for part b

The sample size is n = 15

The test statistics is t = -1.66

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The degree of freedom is evaluated as

$df = n- 1$

$df = 15- 1$

$df = 14$

Using the critical value calculator at (social science statistics web site )

$t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = -2.145$

Looking at the value of t and $t_{\frac{\alpha}{2} ,df }$ the we see that t does not lie in the area covered by $t_{\frac{\alpha}{2} , df }$ (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part c

The sample size is n = 26

The test statistics is t = -2.55

The level of significance $\alpha = 0.01$

The degree of freedom is evaluated as

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Using the critical value calculator at (social science statistics web site )

$t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = 2.787$

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Considering the parameter given for part d

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The test statistics is t = -3.95

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The degree of freedom is evaluated as

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Using the critical value calculator at (social science statistics web site )

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