SoLux produces special light bulbs for museums, photography studios, automotive paint finishing, and machine vision. The SoLux 4100 Kelvin 50-watt 12-volt 10° bulb is designed to produce a beam...

SoLux produces special light bulbs for museums, photography studios, automotive paint finishing, and machine vision. The SoLux 4100 Kelvin 50-watt 12-volt 10° bulb is designed to produce a beam diameter of 1.75 feet 10 feet away.66 In a random sample of 26 bulbs from the production line, the standard deviation was 0.342 feet. Is there any evidence to suggest that the standard deviation in beam diameter at 10 feet is greater than 0.3? Assume normality and use

Many farmers craft unique corn mazes in their fields after the growing season. These huge puzzles challenge both children and adults, and increase revenue for farmers. Suppose a farmer has constructed a corn maze so that the mean time for completion is 1.5 hours with variance 0.57 hour2 . A random sample of 18 people entering the maze was selected, and the time (in hours) to complete the puzzle was recorded for each. The sample standard deviation was s =0.34. Is there any evidence the completiontime variance is different from the intended variance? Use
 and assume the underlying distribution is normal.