Readthe following scenario and complete each of the problems below:

A flashlight company claims that the new light bulb will average 246 hours of light in its heavy-duty flashlight. A statistics student decides that they want to test this claim at a 5% level of significance to determine if there is evidence to support the claim. The student randomly selects and tests 15 flashlight bulbs and records how long the bulb lasts until it burns out. Assume the life of a bulb is usually distributed. The data is in the table below:

\fPusho 54.1 52.4 55.7 49.7 50.6 48.9 51.8 54.5 56.9 49.8 Prius 53.2 54.3 49.8 50.1 50.5 56.1 47.8 53.4 56.8 48.7