A sample of 15 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

A particular fruit's weights are normally distributed, with a mean of 228 grams and a standard deviation of 20 grams. The heaviest 4% of fruits weigh more than how many grams? Give your answer to the nearest gram.

Suppose you buy a new car whose advertised mileage is 20 miles per gallon​ (mpg). After driving your car for several​ months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the​ z-score for the gas mileage of your​ car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas​ mileage?       Question content area bottom Part 1 a. z=enter your response here ​(Round to two decimal places as​ needed.)

For a certain type of job, it costs a copany an average of $231 to train an employee to perform the task. The standard deviation is $5. Find the minimum percentage of data values that will fall in the range of $219 to $243. Use Chebyshev's theorem.

The weights of a certain machine components are normally distributed with a mean of 8.85g and a standard deviation of 0.08g. Find the two weights that seperate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram. Draw a picture. Use Table A-2.

218 234 210 | 261 | 265 175 191 | 308 253 295 253 | 220 | 234 | 232 189 208 190 202 159 | 304 275 | 305 308 295

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

The weight loss for the first six months of a diet program is normally distributed with an average 40 pounds and a standard deviation of 20 pounds. How much weight would a participant have to loss to be in the 90th percentile?