Mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

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

Rewrite 7/11 as a division problem

siniylev [52]

It would be 7 divided by 11( note: always divide the top by the bottom)

7 0

3 years ago

Aleks04 [339]

Answer: First I suggest that you write out the all the proportions which govern the 3 right triangles involved.

Once you do that you will find this one:

PQ/PS =PR/PQ

PR=PS+SR

Substitution will give you this quadratic:PQ2=PS2+PS*SR

144=PS2+7PS which has only one solution which make sense, namely 9

Then QS=sqrt(144-81)

Step-by-step explanation:

5 0

2 years ago

12x3-3x2=0 solve the equation by factoring

Ivan

Answer:

x = 0 or x = 1/4

Step-by-step explanation:

You are able to factor out 3x² from 12x³ - 3x² to get 3x²(4x-1).

Set everything to zero and solve.

6 0

3 years ago

Anybody know number 9

denpristay [2]

Answer:

(x -2)² +y² = 16

Step-by-step explanation:

The circle has its center at (h, k) = (2, 0), and has a radius of r = 4. The standard form equation is ...

(x -h)² +(y -k)² = r²

For the given values of (h, k) and r, this equation is ...

(x -2)² +y² = 16

8 0

3 years ago