Can I pls get help as soon as possible?..Its for my math homework

A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse

Ludmilka [50]

Answer:

a

The null hypothesis is $H_o : \mu = 180$

The alternative hypothesis is $H_a : \mu < 180$

b

The decision rule is fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 3 \ minutes = 180 \ seconds$

The sample size is n = 25

The excel sheet is show on the first uploaded image

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 180$

The alternative hypothesis is $H_a : \mu < 180$

Generally the sample mean is mathematically represented as

$\= x = \frac{156 + 136 + \cdots + 181}{25}$

=> $\= x = 173.2$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }$

=> $\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }$

=> $\sigma = 24.261$

Generally the test statistics is mathematically represented as

$t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }$

=> $t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }$

=> $z = -1.40$

Generally p-value is mathematically represented as

$p-value = P(Z < z)$

=> $p-value = P(Z < -1.40)$

From the z-table

$P(Z < -1.40) = 0.080757$

=> $p-value = 0.080757$

From the obtained value we that $p-value > \alpha$

The decision rule is fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

5 0

3 years ago

Find the length of DE. Round to the nearest hundredth. (Picture included)

LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent} =$

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

8 0

3 years ago

5<br> 1.<br> Explain why the slope of line a is.

dexar [7]

The slope of the line is 6/2 because if you start at the first point you go over 6 in the x direction (right) and then you have to go up in the y direction (up)

3 0

3 years ago

Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-sh

grigory [225]

M = 27x
where x is the price of a t-shirt

3 0

3 years ago

How to find the base of a triangle if your height is 6 inches.

AnnyKZ [126]

Answer:

Use this to find your answer.

Step-by-step explanation:

Triangle Area = 1/2 x Base Length x Height Example: The area of a triangle with a base length of 5 inches and height of 6 inches is:

5 0

2 years ago

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