1. A college basketball coach has 12 players on his team. Eight players are receiving scholarships, and four are not. The coach decides to select a starting lineup by selecting five names out of a bowl. The probability that 4 of 5 players selected are on scholarship is _____. Record answer to three decimal places (x.xxx) 2. A new strain of plant is evaluated and the following statistics are recorded. Mean weight per plant = 15 pounds. Standard deviation = 1.75 pounds (normally distributed). The experiment had 200 plants. How many plants produced a yield between 13 and 16 pounds? 3. A random sample of 200 was selected to estimate the average amount of time retired folks in Arizona listened to the radio during the day. The sample mean was 110 minutes, and the standard deviation was 30 minutes. The 95% confidence limits for the population mean listening time are _____ and _____. Record the lower limit to one decimal place (x.x). 4. Generally the Student t distribution is used when the sample size is less than 30. a. True b. False 5. Use the following information for the next few questions: Ho: mu1 = mu2 H1: mu1=\\=mu2 n1=12 and n2=11 alpha = 0.05 The critical values of 't' are _____ and _____ based on the textbook recommended simple way of determining the degrees of freedom. Record only the lower limit to three decimal places (x.xxx). 6. Using the information from the previous question the null hypothesis should be rejected if t-value = 1.99? a. True b. False 7. Two equal groups of seedlings, and equal in height, were selected for an experiment. One group of seedlings was fed Fertilizer A, and the other group with Fertilizer B. The mean heights of the two groups of seedlings, their standard deviations, and sample sizes are listed below. Assume simple random sampling, independence, and normally distributed data. Alpha = 0.025. Sample Size Fertilizer A Fertilizer B Mean Height (inches, Std Deviation (inches), Sample 12.92, 12.63, 0.25, 0.20, 15 13 What is the null hypothesis? a. b. c. d. Mu1=mu2 Mu1=\\=mu2(is not equal to) Mu1mu2 8. Using the data in the previous question, what is the critical t value using the simplified textbook method and Tables when testing the claim that Fertilizer A is significantly greater than Fertilizer B? Record the answer to three decimal places (x.xxx). 9. Using the data from the previous question, what is the t-statistic rounded off to one decimal place ? (x.x) 10. Using the data from above, Fertilizer A is significantly greater than Fertilizer B using an alpha of 0.025? a. True b. False