A famous slogan is \"Everything is bigger in Texas.\" A researcher was interested in testing whether the weight of the average Thanksgiving turkey was heavier than the average of 15 pounds (the mean given in Investigation 3 for the average turkey weight in Fairfax County from 2020). A random sample of 17 turkeys sold in Daas County, Texas was selected and the data are found in the data set \"Dallas Turkey Weights.\" Using or = 0.01, is there sufficient evidence to conclude the average weight of turkeys from Daas County are heavier than the average weight of turkeys from Fairfax County of 15 pounds. Conduct a full hypothesis test by following the steps below. Enter an answer for each of these steps in your document. You can assume the population size of turkeys sold in Dallas County is 401,834. a) Define the population parameter under investigation in context in one sentence. b) State the null and alternative hypotheses using correct notation. c) State the significance level for this investigation. d) Create a frequency histogram and a box plot of the sample data and copy these into your document. For your histogram, use the width of each bin to be 2 pounds. To do this, under Bins: in the box for Width: enter 2. Remember to title and label your graphs correctly. e) Check the three conditions that allow you to use a t-distribution to compute the p-value using one sentence for each condition. Refer the above graph when necessary. f) Regardless of your answer in part (c), calculate the test statistic \"by-hand.\" First, obtain the sample mean and sample standard deviation of the weights using StatCrunch and do not round these values. Next, show the work necessary to obtain the test statistic by typing all your steps and providing the resulting test statistic. Do not round anything during the calculation. Then, round the test statistic to three decimal places after you complete the calculation