Please tell me the right answer.

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

Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the

zimovet [89]

Answer:

school day

Step-by-step explanation:

When drawing a chart or a graph:

x-axis: Independent variable
y-axis: Dependent variable

The two given variables are:

number of students who wear blue shirts
days of the week

Therefore, in this scenario the independent variable is the school day and the dependent variable is the number of students since the former effects the latter.

So the data on the horizontal axis (x-axis) is: school day

8 0

2 years ago

Compare the population median to the mean of the sample medians. choose the correct answer below.

mafiozo [28]

What are the answer choice options

3 0

4 years ago

Jasmine wants to buy 4 green bags for 18 dollars each and 3 purple bags for 15 dollars each. She has 100 dollars. How much more

sveta [45]

Jasmine would need $17 .

Because 4 green bags times 18 dollars is 72 + 3 purple bags times 15 dollars is 45,so 72+45= 117

So, Jasmine will need 17dollars

6 0

4 years ago

A rectangle has an area of 0.24 of a square meter.

Tpy6a [65]

Answer:

0.8 by 0.3 square meters

Step-by-step explanation:

7 0

3 years ago