According to usa today, customers are not settling for automobiles straight off the production lines. as an example, those who purchase a $355,000 rolls-royce typically add $25,000 in accessories. one of the affordable automobiles to receive additions is bmw's mini cooper. a sample of 179 recent mini purchasers yielded a sample mean of $5,000 above the $20,200 base sticker price. suppose the cost of accessories purchased for all mini coopers has a standard deviation of $1,500. calculate a 95% confidence interval for the average cost of accessories on mini coopers.

Step-by-step explanation:

The confidence interval for population mean is given by :-

Given : Sample size : , which is a large sample , so we apply z-test .

Sample mean :

Standard deviation :

Significance level :

Critical value :

Now, a confidence interval at the 95% level of confidence will be :-

y=mx+b is the final answer!   : )

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.