Me. a random sample of 16 light bulbs has a mean life of 650 hours and a standard deviation of 32 hours. assume the population has a normal distribution. construct a 95% confidence interval for the population mean.

Step-by-step

Mean = mu = 650

Standard deviation = sigma = 32

Sample size = 16

Therefore standard error of the given sample

standard error

=  standard deviation / sqrt(N)

= standard deviation /sqrt(16)

= 32/4

= 8

For 95% confidence interval, we need the normal curve to have an area of 0.95 between the limits, which, from normal distribution tables, the Z-value of 97.5% is 1.96, which means that for a 95% confidence interval, the values are between +/- 1.96 standard deviations, or +/- 1.96*8= +/- 15.68 hours.

Thus the confidence interval is

650 - 15.68 hours < X < 650+15.68 hours

634.32 < X < 665.68 hours

answer: 43/157

this is the answer and if you try to prove me wrong your a meanie

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.