Please answer the following

***ROUGH WORK MUST BE SHOWN

Historically the average annual global temperature has been 13.5C.A sample of the previous 30 years has shown a mean annual temperature of 13.8Cwith a standard deviation of 0.83C.At a 5% level of significance, is there enough evidence to conclude that the average global temperature has increased from 13.5C?

a) Properly state the hypotheses:

b) Calculate the p-value:

c) Conclusion:(Must be mathematically justified)