Employees in a large company are entitled to 15-minute water breaks. A random sample of the duration of water breaks for 10 employees was taken with the times shown as: 18, 19, 21, 23, 20, 22, 23, 20,18, and 17. One of the HR managers often complains that employees aretaking at least three minutes longer (on average) water breaks than they are entitled to. What is the p-value for testing the manager's claim? There is not enough evidence to say the data are nonnormal.

A pharmaceutical firm has discovered a new diagnostic test for a certain disease that has infected 2% of the population. The firm has announced that 96% of those infected will show a positive test result, while 97% of those not infected will show a negative test result. What proportion of test results are correct?

An employee earns $20 per hour at a plant and is told that only 4% of all employees make a higher wage. If the wage is assumed to be normally distributed and the standard deviation of wage rates is $6 per hour, find the average wage for the plant employees per hour.

At the Jean Talon's farmers' market, varieties of apples are usually displayed side by side during fall harvest season. Last fall, it was noted that in one day, 190 customers purchased apples. Of these, 65 picked McIntosh, 45 SuperMac, 50 picked Cortland, and 30 picked Belmac apples. What is the approximate p-value for testing the appropriate hypothesis for the preferred type of apples in the city?