STAtistics / Mr. Hansen
12/15/2010

Name: _________________________
Bonus (for Mr. Hansen’s use only): ________

Test through Chapter 8 (Calculator Required)

 

Rules
  • You may not write calculator notation anywhere unless you cross it out. For example, terms like binompdf and normalcdf may result in small point penalties. Use diagrams and/or formulas to justify your answers instead.
  • Adequate justification is required for free-response questions.
  • All final answers in free-response portions should be circled or boxed.
  • Decimal approximations must be correct to at least 3 places after the decimal point, and preferably should contain at least 3 significant digits.

 

 

Part I

Notation and Definitions.

 

 

1.

Chapter 8 is all about _______________ distributions, and we considered two specific examples: (1) the _______________ distribution of ____ (symbol), the _______________  _______________ , and (2) the _______________ distribution of ____ (symbol), the _______________  _______________ .

 

 

2.

Any _______________ (median, range, IQR, etc.) can have a _______________ distribution. However, the AP Statistics syllabus considers only a few of the most common ones. One requirement is that a _______________ distribution must have a fixed value for ___ (symbol), the sample size.

 

 

3.

The difference between  and  is that the former is the s.d. of __________________ , while the second is the s.d. of [explain briefly below]

 

 

4.

Any binomial distribution in which p > 0.5 is symmetric   skew right   skew left
[circle one].

 

 

5.

State the CLT.

 

 

 

 

 

 

 

 

 

 

6.

CLT stands for ____________  ____________  ____________ .

 

 

7.

Explain briefly why, in cases where it is not possible to put an upper bound on , the improper use of CLT could have disastrous multi-trillion-dollar consequences.

 

Part II

Computation.

 

 

8.

Explain why, in the real world, we would never know the true value of p for a political poll in which p is the proportion of support for a candidate among the likely voters.

 

 

 

 

 

 

 

 

 

 

 

 

9.

Assume, contrary to reality, that p = 0.47 for the situation described in #8. If 500 likely voters are randomly polled, make a sketch to estimate the probability that the poll shows more than 50% support for the candidate, even though p is truly less than that. Mark values along your x-axis.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10.

Prove, by checking and verifying the rules of thumb, that your method in #9 is valid.

 

11.

Mr. Hansen’s true mean systolic blood pressure is 135, with a standard deviation of 10 points. In a series of 50 readings, made at random times of the day over a period of time, estimate the probability that the sample mean is below 133. Make a reasonably accurate sketch, and mark appropriate values on the x-axis. Show all relevant work.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

12.

In #11, is it necessary to assume that the population distribution of systolic blood pressure readings is normal? Why or why not?