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How would you answer this two-part question: Using R as a calculator to perform by-hand calculations (means to show the steps as if you were

How would you answer this two-part question:

Using R as a calculator to perform "by-hand" calculations (means to show the steps as if you were solving by hand) to test the claim that a population mean length is different than the observed sample mean length, using a 5% significance level. Check your answer using an R function call. [Hint: you are using the mean length for the species as a constant]. (1 hypothesis, 1 by-hand calculation, 1 R output, 1 reporting required numbers, 1 decision, 1 interpretation in context)

Test the claim that a population mean width is different than the population means width, using a 5% significance level. Assume the population variances are not equal. [using an R function only, meaning no by-hand calculations are necessary] (1 hypothesis, 1 R output, 1 reporting required numbers, 1 decision, 1 interpretation in context)

Any help is appreciated; thanks!

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