Chapter 7 1. The standard normal distribution is a special normal distribution with a mean of standard deviation of 2. The z-scores for Xvalues greater than the mean are 3. The shape of any normal probability distribution is 4. For a standard normal distribution, what is the probability that z is greater than 1.00? 5. What is the area under the normal curve between z= -1 and z = 1.35? and a 6. The mean amount spent by a family of four on food is $800 per month with a standard deviation of $25. Assuming that the food costs are normally distributed, what is the probability that a family spends more than $825 per month? 7. For problem 6, what is the probability that a family spends more than $775 per month. 8. The mean score of a college entrance test is 700; the standard deviation is 50. The scores are normally distributed. What percent of the students scored below above 800? 9. The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. What percent of the cans weigh less than 1000? 10. In problem 9, if 100 cans were sampled for weight how many would be expected to weigh between 1000 grams and 1100 grams? 11. Ball-Bearings, Inc. produces ball bearings automatically on a Kronar BBX machine. For one of the ball bearings, the mean diameter is set at 20.1 mm (millimeters). The standard deviation of the production over a long period of time was computed to be 0.300mm. What percent of the ball bearings will have diameters between 20 and 20.3 mm? 12. For problem 11, if 200 cans were sampled, how many would have a diameter less than 19.9mm?