The lb company has long manufactured a light bulb with an average life of 5400 hours. company researchers have recently developed a new filament which they believe will extend bulb life. to test this claim, the company hires a statistician, who takes a random sample of 95 bulbs and measures the amount of time until each bulb burned out. the mean lifetime of the sample of bulbs is 5483 hours. (we may assume as known that the population is normally distributed with a standard deviation of 500 hours.) can we conclude at a 6% level of significance that the new filament yields a longer bulb life?

Aright triangle has an area of 18 square inches. b: if the triangle is not an isosceles triangle, what are all the possible lengths of the legs, if the lengths are whole numbers. answer !

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.