The weights of ripe watermelons grown at Mr Smiths farm are

The weights of ripe watermelons grown at Mr. Smith\'s farm are normally distributed with a standard deviation of 2.2 lb. Find the mean weight of Mr. Smith\'s ripe watermelons if only 6% weigh less than 16 lb. (Give your answer correct to one decimal place.)

Solution

The weights of ripe watermelons grown at Mr. Smith\'s farm are normally distributed with a standard deviation of 2.2 lb. Find the mean weight of Mr. Smith\'s ripe watermelons if only 6% weigh less than 16 lb. (Give your answer correct to one decimal place.)

From the standard normal table, lower 6% z value is -1.555

Therefore Mean -1.555*2.2 =16

Mean = 16+1.555*2.2 =19.421

The required answer = 19.4 lb