Solved: Two weights, ea ourses/1233323/files/folder/02_Homework?preview-47814256

Question

Solved: Two weights, ea ourses/1233323/files/folder/02_Homework?preview-47814256 Illegible scans will NOT be graded and be returned Problems (15 pts each) 1. with a zero. NO SECOND CHANCES A poll of 24 mechanical engineers was taken on how many years they believe they need after college to truly feel that they have "leamed" about their field. The data, as shown below was used to make inferences regarding the rate of professional development of engineers. An employee who graduated 4 years earlier is faced with several long term career decisions. On what basis would you recommend they seek more guidance? Calculate a P-value and explain what that value represents. 20 20 8 |10 |11 |35 12 8.5 0 14 18 5 9 15 7 9 30 16 9 19 17

Explanation / Answer

I am using R software ot solve this problem.

First we can load the data given to a vector as below:

Data <- c(8,10,11,3.5,9,15,7,9,

20,14,8.5,30,2,16,11,6,

20,18,8,9,19,9,17,22)

  

We have 24 observations. So sample size = n = 24

  

Now we can calculate the mean and standard deviation using mean() and sd() functions as below:

Mean <- mean(Data)

Mean

12.58333

SD <- sd(Data)

SD

6.601493

We can calculate the Standard error as below:

SE = sd / sqrt( n ) = 6.601493/sqrt(24) = 1.347524

Now we have an employee who graduated 4 years earlier.

We can calculate the t value as below:

t value = (4 - 12.58333)/1.347524 = -6.369705

Degrees of freedom = 24 - 1 = 23

Now we can look at the t table to find the corresponding cumulative probability which is amost equal to 0

So we can say that at the stage of 4 years after graduation, the probability is almost 0 to have a feeling that an engineer knows about his/her field.

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