CANADA penny weight (g)	USA penny weight (g)
2.25	2.47
2.28	2.44
2.29	2.46
2.29	2.44
2.32	2.46
2.27	2.42
2.29	2.51
2.40	2.50
2.33	2.43
2.40	2.47
2.31	2.45
2.33	2.42
2.37	2.41
2.37	2.47
2.29	2.46
2.26	2.44
2.29	2.43
2.28	2.46
2.40	2.49
2.25	2.47
2.28	2.52
2.28	2.52
2.39	2.51
2.34	2.42
2.32	2.43
2.26	2.47
2.32	2.40
2.31	2.40
2.26	2.44
2.26	2.46
2.32	2.40
2.29	2.48
2.35	2.50
2.37	2.51
2.27	2.41
2.25	2.44
2.34	2.43
2.26	2.41
2.33	2.42
2.40	2.47
2.29	2.45
2.35	2.44
2.25	2.42
2.37	2.42
2.33	2.42
2.34	2.41
2.39	2.46
2.39	2.49
2.30	2.51
2.35	2.48

1. A previous study by Public Health Ontario found that at least 40.5% of teens have texted while driving. In a recent survey of 821 random sample of teen drivers, 311 have admitted that they have texted while driving. Use a 0.05 significance level to test the claim that the texting-while-driving rate has decreased since the previous study, and it is now less than 40.5%. a) State the null and alternative hypotheses. b) Calculate the test statistic (round it to 3 decimal places). c) Find the critical value (round it to 3 decimal places). d) To apply normal approximation to the distribution of sample proportion, show that whether all 3 of the requirements of the normal approximation are satisfied e) Make a conclusion based on your answer from part b) and c). Is there sufficient evidence that the texting-while-driving rate has decreased? 2. We will compare the weight of a penny (1c) 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). STAT 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