1 A drug manufacturer wants to make sure that 10m1 vials of

1. A drug manufacturer wants to make sure that 10m1 vials of testosterone cypionate are properly filled on the assembly line. A simple random sample of 78 vials was obtained and their volumes measure. What kind of statistical test should be used in this situation? (a) A two-sided t-test for a single population mean for the fill volume. (b) A one-sided t-test for a single population mean for the fill volume. (c) A chi-square test for the independence of fill volume and machines on the assembly line. (d) (a) or (b) might work. (e) (a), (b). or (c) might work. 2. It is thought that a new process for producing a certain chemical may be cheaper than the currently used process. Each process was run 6 times. and the cost of producing 100 L of the chemical was determined each time. The results, in dollars, were as follows: New Process 1 51 52 55 53 54 53 Old Process 1 50 54 59 56 50 58 What is the best statistical test that should be used in this situation? (a) A test for the population proportion of the times the new process will be cheaper than the old process. (b) An independent samples t-test for the differences in mean costs for each process. (c) A paired (-test for the mean of the differences of the new and old processes. (d) A chi-square test for the categories New Process and Old Process being equal in proportion. (e) A chi-square test for independence between cost and process. 3. A type I error occurs.. (a) When a chi-square test should have been used instead of a t-test. (b) When P-value > et, but the P-value was not computed correctly (c) When we fail to reject the null when it is in fact false. (d) When we incorrectly rejected the null when it is in fact true. (e) We correctly rejected the null hypothesis but for the wrong reason.

Solution

1. Since there is no directional claim given,the correct option is (a).

2. Since samples are independent, the correct option is (b).

3. The type I error is reject null hypothesis when its true. Therefore, the correct option is (d).