1)Daily water intake (including water used in drinks such as coffee, tea and juice) for Canadian adults follows a normal distribution with mean 1.9 liters and standard deviation 0.3 liters. What is the probability that the mean daily water intake for a random sample of 25 Canadian adults is less than to 1.9 liters? a. 0.8413 b. 0.0228 c. 0.5 d. 0.1585 e. 0 2) Suppose we would like to conduct a hypothesis test of H0: u = 10 vs. Ha: u 10 at the 10% level of significance. We take a random sample of 100 individuals and calculate a test statistic of Z = - 1.29. What is the p-value and the conclusion from the hypothesis test? a. 0.1970, We reject the null hypothesis at 10% level of significance. b. 0.0985, We fail to reject the null hypothesis at 10% level of significance c. 0.0985, We reject the null hypothesis at 10% level of significance. d. 0.1970, We fail to reject the null hypothesis at 10% level of significance e. 0.8997, We fail to reject the null hypothesis at 10% level of significance 3) The temperature readings for a sample of 25 fall days (degrees Celsius) in Winnipeg, Manitoba, have a mean of 10 degrees and a standard deviation of 5 degrees. Assuming the temperatures are normally distributed, a 95% confidence interval estimate for the fall true mean temperature is: a. (7.940, 12.060) b. (8.355, 11.645) c. None of the choices are true. d. (7.936, 12.064) e. (8.040, 11.960) 4) The amount of a waiter's tips follows some left skewed distribution with mean $10 and standard deviation $2. If we take a random sample of 36 of the waiter's customers, what is the approximate probability that the mean tip for these customers is greater than $12? a. 0 b. 0.9772 c. -6 d. 1 e. 6 5) Intelligence Quotients (IQ) are approximately normally distributed with a mean of 105 and standard deviation of 10. Use the following density curve and 68-95-99.7% rule to find the approximate proportion of people who has IQs between 75 and 125? a. 0.9500 b. 0.9735 c. 0.9470 d. 0.6800 e. 0.9970 6) Engineers' hourly income at a specific company follow a normal distribution with mean of $71 and the variance of $64. What is the probability that the mean hourly income of a random sample of 4 Engineers to be less than $73? a. 0.5 b. 0.6915 c. 0.0 d. 0.3085 e. impossible to determine with the information given