The prices of various cereal boxes is normally distributed with a standard deviation of 0.5. If a box of Lucky Charms sells for $4.29 and has a z-score of 1.6, what is the mean price of a box of cereal?
give your answer rounded to the hundreth's place (like dollars and cents...$x.xx)
Question 2
2.
The number of homes sold each year by a realtor is normally distributed with a mean of 54. If the realtor sold 36 homes last year with a z-score of -2.4, what is the standard deviation?
round your answer to the nearest tenths place
Question 3
3.
A normally distributed data set has a mean of 0 and a standard deviation of 0.5. What percent of the values is between -1 and 1?
give your answer with a % rounded to the nearest tenths place
Question 4
4.
The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. What percentage of plants are less than 8 inches tall?
give as a % rounded to the tenths place
Question 5
5.
The heights of plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. If there are 150 plants in the data set, how many plants are 15 inches or taller?