Each time a component is tested, the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possible values of Y. (Enter your answers in set notation.) Y Outcomes 3 4 5 6 7

You will simulate shooting basketball free throws. Using any coin, let heads represent the ball going into the basket and tales represent the ball missing the basket. Each toss of the coin represents a shot at the free throw line. Simulate shooting 35 free throws. Make a chart on your paper similar to the one below to record your results. For each trial (toss), place an x in the appropriate column. Toss number 1 2 Went in (Heads) X Questions: 1. How many free throws went into the basket? 2. How many free throws missed the basket? Missed (Tails) X 3. What is the experimental probability that you will make the next free throw? 4. What is the experimental probability that you will miss the next free throw? 5. This simulation assumes that you have an equal chance of making the free throw or missing the free throw. Is this a correct assumption? Why? 6. How would you change this simulation to better predict a person's abilities at making free throws?

A retailer wants to see if a red "Sale" sign brings in more revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 2.7, 2.6, 1.1, 4.2, 2.6, 3.4, 2.3, 2.9, 4, 2.6 Blue: 2.2, 1, 2.8, 1.6, 0.6, 0.9, 1, 1.7, 3.4 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? b. The test statistic t î = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

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