Manufacturing and Product Development 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 a = 0.05.