We will compare the weight of a penny (1 4) from Canada to the weight of a penny from the United States. A random sample of 50 pennies each has been collected from Canada and the United States. Download the "Weight of Pennies" excel file for the data set. To compare the mean weight of pennies from Canada and from the United States, a) Calculate the sample mean and the sample standard deviation of the weight of pennies from Canada and the United States respectively (round to 3 decimal places when applicable). T 1P98 F2022 b) Test the claim that the pennies from Canada have the same mean weight of the pennies from the United States, state the null and alternative hypotheses c) If the population standard deviation of and 2 are unknown (assuming unequal), Calculate the test statistics using formula (round to 3 decimal places). d) Use Excel Data Analysis function, at 0.05 significance level, compare two sample mean with unequal variance, submit a screenshot of the result output. (t Stat from the output should match your answer in part c). e) Based on your answer from c) or d), at a = 0.05 level, what is your conclusion