Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value. Question 2:

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.

For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

Question 1  

The test statistics is  

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  

  The second  sample size is  

   The first sample mean is  

    The first standard deviation is  

    The second sample mean is  

   The second standard deviation is  

The null hypothesis  is  

The alternative hypothesis is  

Generally the degree of freedom is mathematically represented as

=>    

=>    

Generally the test statistics is mathematically represented as

=>

=>

Let assume that the level of confidence is  

Generally the probability of t at a degree of freedom of  is  

Generally the p-value is mathematically represented as

=>  

=>        

From the value obtain we see that hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  

     The first sample mean is  

     The first standard deviation is  

     The second sample size is  

     The second sample mean is  

     The second standard deviation is  

The null hypothesis  is  

The alternative hypothesis is  

Generally the degree of freedom is mathematically represented as

=>    

=>    

Generally the test statistics is mathematically represented as

=>      

=>  

Let assume that the level of confidence is  

Generally the probability of t at a degree of freedom of  is  

Generally the p-value is mathematically represented as

=>  

=>        

From the value obtain we see that hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

.19875994384

step-by-step explanation:

1699/ 8548

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.