Question 1 of 30

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

The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side

soldier1979 [14.2K]

Answer:

(7.5-2.1) /2

If the shortest side measures 2.1 m.

7.5-2.1 =5.4. Then divide by 2 each side is 2.7m

7 0

3 years ago

Read 2 more answers

The altitude of a triangle is increasing at a rate of 3 3 centimeters/minute while the area of the triangle is increasing at a r

sweet-ann [11.9K]

(3 points) The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 20 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2. = 2, namely, the base of the triangle is increasing at a rate of 2 cm/min.

3 0

3 years ago

Please answer this question with explanation!! Thanks

Georgia [21]

The answer would be 12 3/4 because when you continue use the pattern that is used you end up with your answer! Hope this helps

5 0

3 years ago

500g:3kg.Give answer in lowest term

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

5 0

4 years ago