Help with thsi pls show work

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

Whats five and twenty-three thousandths wirten as a decimal giving brainest

exis [7]

Answer:

5.023 I believe

Step-by-step explanation:

6 0

3 years ago

How do you find the area of a polygon in a coordinate plane

inna [77]

Step-by-step explanation:

The way that I would do it, would be to use the point distance formula to find the length of each side.

Distance formula: $\sqrt{(x2-x1)^{2} (y2-y1) ^{2} }$

After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.

Area of Triangle: A= 1/2 base times height

Area of Rectangle: A= length times width

Area of Square: A= s^2 where s is the length of the side

Area of Parallelogram: A= base times height

Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides

Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)

Area of Regular Polygons: A= 1/2 (apothem times perimeter)

6 0

3 years ago

What is the inequility?

antiseptic1488 [7]

The inequality is e-7>1 The simplifies version of that inequality is e>8

7 0

3 years ago

A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t

QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22. You also know the rate at which the car travels is 60 miles per hour, which is the slope (m). Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0

3 years ago