Continuing from the Origin Energy scenario, what is the value of the test statistic? Assume the light output of lumens is normally distributed. (Round your answer to two decimal places.)

Origin Energy claims their new bulb has a mean light output of 960 lumens. The inspection division of a state department that regulates trade measurements wants to determine if the claim made by Origin Energy is false. She randomly selects 40 new bulbs, and the sample average light output is computed as 954 lumens per bulb. Assume the standard deviation of light output for this type of bulb is 18.4 lumens. What is the sign given in the alternative hypothesis?

Thetablebelowshowsthelightintensityin4differentsituationswherealampisplacedatacertaindistancefromaplant.Situation Light intensity [lumen/cm²]1 0.322 0.633 0.174 0.9Calculatethedistancebetweenthelampandtheplantinsituation4.Giveyouranswerto3significantfigures.

What is the value of the standard devation in a standard normal distribution?

A factory produces a type of light tube, Its lifespan can be expressed this way: X~(u, 200^2). From experience, it's known that the average lifespan u is 1500 hours. Now, after adopting a new technique, 25 light tubes are randomly selected from those produced and the average lifespan is found to be 1675 hours. With the new technique adopted, what is the value of the test statistic?

What is the brightness of a galaxy that has luminosity of 1041 W and is situated at a distance of 18 Mpc away.