3. The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 3.00 minutes. To make sure that the mean wait is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.40 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 3.00 minutes with a 90% level of confidence? (3) State the null and alternate hypothesis. (b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the necessary sample test statistics. (d) Draw a conclusion and interpret the decision. Free Response Question You Must Show All Your Work to Earn Full Credit. (20 points each) 1. Suppose that you sample 54 high school baseball pitchers in one county and find that they 2. have a mean fastball pitching speed of 85.00 miles per hour (mph) with a standard deviation of 5.98 mph. Find a 99% confidence interval for the mean fastball pitching speed ofall high school baseball pitchers in the county. Interpret the interval. Assume that the fastball ball pitching speeds are normally distributed. The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters: 1.5 1.6 1.5 1.4 1.9 1.4 1.3 1.9 1.8 1.7 At the 0.05 significance level, can we conclude that water consumption has increased? la) State the null and alternate hypothesis. lb) How many degrees of freedom are there? (c) Give the decision rule. (d) Compute the value of t. What is your decision regarding the null hypothesis