decided he will only consider careers with an average starting salary higher than 46200. He collects a sample of 13 job postings for computer programmers and finds a sample mean salary of 43715 and a sample standard deviation of 7156. Mike is trying to decide whether he should continue to consider computer programming, or remove it from his list of possible careers. a. Find the critical t-score for

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Mike is investigating possible careers. He has decided he will only consider careers with an average starting salary higher than 46200. He collects a sample of 13 job postings for computer programmers and finds a sample mean salary of 43715 and a sample standard deviation of 7156.

Mike is trying to decide whether he should continue to consider computer programming, or remove it from his list of possible careers.

a. Find the critical t-score for a 95% confidence interval for the average starting salary of a computer programmer. Round your answer to 2 decimal places. 

b. Find the margin of error for a 95% confidence interval for the average starting salary of a computer programmer. Round your answer to the nearest whole number. 

c. Fill in the blank: We can be ______ % confident that the average starting salary of a computer programmer is between $_____  and $_______.

d. Interpret your result:

a. Mike should keep computer programmer in consideration, since he can be 95% confident that the average salary is higher than 46200.
b. Mike should keep computer programmer in consideration, and collect more data since his desired mean is within the 95% confidence interval.    
c. Mike should eliminate computer programmer as a possible career, because he can be 95% confident based on his sample that the average starting salary is less than 46200.
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