The operations manager at a light emitting diode (LED) light bulb factory needs to estimate the mean life of a large shipment of LEDs. The manufacturer's specifications are that the standard deviation is 1,500 hours. A random sample of 64 SELF TEST LEDs indicated a sample mean life of 49,875 hours. a. Construct a 95% confidence interval estimate for the population mean life of LED light bulbs in this shipment.
b. Do you think that the manufacturer has the right to state that the LED light bulbs have a mean life of 50,000 hours? Explain.
c. Must you assume that the population LED light bulb lifei normally distributed? Explain.
d. Suppose that the standard deviation changes to 500 hours. What are your answers in (a) and (b)?

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In allentown, pennsylvania, in the summer of 2014, the average price of a gallon of gasoline was $3.68long dasha 22-cent increase from the year before. many consumers were upset by the increase. one was quoted in a local newspaper as saying, "it's crazy. the government should step in." source: sam kennedy, "valley feeling pain at the pump," (allentown, pa) morning call, june 21, 2014. suppose the government had stepped in and imposed a price ceiling equal to old price of $3.46 per gallon. a. using the line drawing tool, draw and label the price ceiling. carefully follow the instructions above, and only draw the required object.

Who is better at multi-tasking? in business, employees are often asked to perform a complex task when their atten-tion is divided (i.e., multi-tasking). human factors (may 2014) published a study designed to determine whether video game players are better than non–video game play-ers at multi-tasking. each in a sample of 60 college stu-dents was classified as a video game player or a non-player. participants entered a street crossing simulator and were asked to cross a busy street at an unsigned intersec-tion. the simulator was designed to have cars traveling at various high rates of speed in both directions. during the crossing, the students also performed a memory task as a distraction. two variables were measured for each student: (1) a street crossing performance score (measured out of 100 points) and (2) a memory task score (measured out of 20 points). the researchers found no differences in either the street crossing performance or memory task score of video game players and non-gamers. “these results,” say the researchers, “suggest that action video game players [and non-gamers] are equally susceptible to the costs of dividing attention in a complex task”