According to hypothetical information, 18% of all Americans have hazel colored eyes. A SRS of 25,000 Americans are surveyed and asked about their eye color (assume each of the Americans in the sample has an 18% chance of having hazel colored eyes).

a) Determine the mean and standard deviation of this sample of Americans that have hazel colored eyes.
Mean =__________

Standard Deviation=__________

b) What is the approximate probability that at least 4600 of the 25,000 Americans surveyed have hazel colored eyes? ______________

c) What is the approximate probability that between 4450 and 4570 inclusive of the 25,000 Americans surveyed have hazel colored eyes? _______________

Solution Preview

The population proportion of haze colored eyes = p = 0.18
sample size = n = 25000
a) Mean(mu) = n*p = 25000*.18 = 4500
Standard deviation (s.d.) of ...

Solution Summary

The solution outlines formulas and computations to find out mean and standard deviation from the given information. Next, details on how to find out the probability of an observation value are explained.

... 7.22. A given population proportion is .25. For the given value of n, what is the probability of getting each of the following sample proportions? ...

Normal probability distributions, proportions, percentages. ... II. Find the probability of a data value < 51. ... Show all work. (A) Find the proportion of female ...

Probability for population proportion. ... 1 - 0.2335. = 0.8665. The solution gives detailed steps on calculating probability for population proportion. ...

... of1000flights P B. What is the probability that the sample proportion will be within .03 of the population proportion if a sample of size 1000 is selected? ...

... mean proportion - zσp= 23.631% = 0.25-(1*0.01369) Thus there is a 68.27% probability that the proportion of flights are late is between 23.631% and 26.369%. ...

... of sample proportions). This solution gives the step by step method for computing probabilities based on sampling distribution of sample proportion. PROBABILITY...

... within +/- .02 of the population proportion (to 4 ... for the calculation of sampling distribution for proportions . ...Probability for X > X Value 7500 Z Value ...

... Problems related to probability calculation using Z score are ... 200 times and calculate the proportion of his or ... plots a histogram of these several proportions. ...

... In this activity, you will explore some ideas of probability by using Excel to ... record in the following table the result of the toss and the proportion of heads ...