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(Please solve the following problem using R studio) The parameters we assumed to create the statistical population to then generate the t distribution were a

(Please solve the following problem using R studio)

The parameters we assumed to create the statistical population to then generate the t distribution were a mean of 98.6 and sd=5. Create the t-distribution computationally but using a mean much different than 98.6 and a standard deviation different than 5. Keep sample size as 25 observational units.

Produce code to calculate the probability of obtaining t scores as (in the t-distribution assuming H00 as true) extreme or more extreme than -0.5606452 (i.e., the same as the one for the sample of 25 temperatures) using your own t-distribution created above. Also put code for plotting the histogram of your own t-distribution.

Answer the following question:

Is there a large difference between the probability generated between the standardized sampling distribution based in your population and the population generated earlier (i.e., mu=98.6 and sigma=5)?

Write some text explaining your answer on the basis of the code and the concepts you have learned above.

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