Determining the probability using mean and standard deviation.
Not what you're looking for?
The weights of adult Americans are normal with a mean of 164 lbs. and a standard deviation of 24 lbs. Two random samples are taken with 10 adult Americans in each sample.
(a) What is the probability that both samples have a mean greater than 180 lbs.?
(b) What is the probability that, when the two samples are put together, the mean weight of all 20 people will be greater than 180 lbs?
(c) Compare the results in (a) and (b). Explain.
Purchase this Solution
Solution Summary
The solution determines the probability of weight using mean and standard deviation.
Solution Preview
a) X - weight - Normal (mean=164, sd=24)
n1=10 n2=10 n-sample size
Xbar1 - Normal (mean=164, sd=24/sqrt10=7.5)
P(Xbar1>180) = P(z> ...
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.