A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives...

A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 12 hours, with a standard deviation of 3.5 hours. The estimate of the mean viewing time should be within a one-quarter hour. The 99% level of confidence is to be used. (Use z Distribution Table.)

A.  How many executives should be surveyed? (Round the z-score to 2 decimal places and final answer to the next whole number.)