A particular fruit's weights are normally distributed, with a mean of 756 grams and a standard deviation of 34 grams.

If you pick 14 fruits at random, then 5% of the time, their mean weight will be greater than how many grams?

Give your answer to the nearest gram.

____________________________________________________________________________________________________

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.9-in and a standard deviation of 0.8-in.

In what range would you expect to find the middle 98% of most head breadths?

Between ____ and ______

If you were to draw samples of size 46 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male heads in the sample?

Between ____ and ___

Enter your answers as numbers. Your answers should be accurate to 2 decimal places.