MATH 361 ASSIGNMENT 1
85 Points
Instructions
NAME_
I need to see some justifications for your answers. There are two ways you can show work to
justify your answers. The first method is to type in your work using formulas or ideas from class.
The second, a
9.2 Examples
Example 1
A simple random sample of size n is drawn. The sample mean,
standard deviation, s, is found to be 4.7.
, is found to be 19.2, and the sample
a) Construct a 95% confidence interval about (population mean) if the sample size, n, is 35
P-values and Levels of Significance
Think of the p-value as the lowest level of significance that could be used to reject the
null hypothesis. So, if you know a p-value, you can compare it to different fixed
significance levels. The rule to keep in mind i
Estimating Population Means and Population Proportions
1) A random sample of 60 married couples who have been married seven years, were asked the
number of children they have. The sample resulted in a mean of 2.27 and standard deviation of
1.22 (units are
MATH 361 Hypothesis Tests: Testing a mean value; population standard deviation unknown
1) Suppose we felt the average lifespans of males in the United States exceeded 74 years. If we want
to test this hypothesis, the first question is, Does this statement
Estimating Population Means and Proportions
Estimating parameters requires two quantitative descriptions:
1) A statistic; the point estimate
2) A margin of error: the smaller the margin of error relative to the estimate, the better the estimate.
Often tim