A study reports that recent college graduates from Connecticut face the highest average debt of $38,510 (forbes.com,

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A study reports that recent college graduates from Connecticut face the highest average debt of $38,510 (forbes.com, September 18, 2019). A researcher from Pennsylvania wants to determine how recent undergraduates from that state fare. The accompanying file contains data on debt from 40 recent undergraduates. Assume that the population standard deviation is $5,000. 

a. Construct the 95% confidence interval for the mean debt of all undergraduates from Pennsylvania.

b. Use the 95% confidence interval to determine if the debt of Pennsylvania undergraduates differs from that of Connecticut undergraduates.

Debt
24040
19153
26762
31923
31533
34207
14623
24370
31016
20107
22090
17089
16306
20653
21673
14951
22701
23521
26215
23714
23906
23690
32254
25115
24610
22975
35402
29869
37419
22266
33848
17479
28236
30052
35136
25118
22922
28917
23634
29329
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