## Test the claim that there is a difference in times between two trials.

Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) and five pairs of children’ completion times are listed below. Test the claim that there is a difference in times between two trials. (a) At a = 5%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it. Draw the curves.

1st Trial (A) 33 28 29 26 29

2nd Trial (B)30 25 24 24 29 .

### What is the probability that the parcel was shipped express and arrived the next day?

1.  In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective,….

### Given that the test is positive, what is the probability that the person has the disease?

1.  Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw. a.  Assume that….

### If a man tests negative, what is the probability that he actually has the disease?

1.  Refer to Example 2.26. a.  If a man tests negative, what is the probability that he actually has the disease? b.  For many medical tests, it is standard procedure….