An initial time study resulted in an average observed time of 2.2 minutes per cycle, and a standard deviation of 0.3 minutes per cycle. The performance rating was 1.20. What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

The sample size required is 225.

Step-by-step explanation:

The confidence interval for population mean (μ) is:

The margin of error is:

Given:

The margin of error is, MOE = 0.04

The confidence level is 95.44%.

The critical value of z for 95.44% confidence interval is:

So, .

Determine the sample size as follows:

Thus, the sample size required is 225.

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.