In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 158. What is the probability that the sample proportion will be at least 3 percent more than the population proportion?

The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157

Step-by-step explanation:

We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.

So z-score for sample proportion q = 0.72

z = = = - = - 0.872

So z-score for sample proportion q = 0.78

z= = =   = 0.872

Therefore the probability that the sample proportion will be within 3 percent of the population proportion is

P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)

= P( z < 0.872) - P( z < -0.872)

= 0.80785 - 0.19215

= 0.6157

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)