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Exam 3 Partial List of Topics - Statistical Methods | STA 2023, Exams of Data Analysis & Statistical Methods

Valencia CollegeData Analysis & Statistical Methods

worksheet on murhy website not test Material Type: Exam; Class: Statistical Methods; Subject: STA: Statistics; University: Valencia Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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STA2023 – Test 3 Partial List of Topics
Many of these topics will be included on the exam, but not necessarily all of them.
Furthermore, other questions may be asked that are not included in this review. In
addition to this review, look over the labs, worksheets and the assigned problems from
the textbook.
Know how to use your calculator to help you with anything mentioned below!
1. CONFIDENCE INTERVAL general information (applies to both proportions and
means).
a) Be able to recognize the difference between a statistic and a parameter.
b) Understand that a statistic is used to estimate a parameter. We want the statistic
to be unbiased. Know what it means to be an unbiased estimator.
c) Know what SRS stands for.
d) Compute given any confidence level C. Understand what these symbols stand
for.
*z
e) Know that confidence interval = estimate
±
margin of error.
f) Memorize two ways that you can decrease the margin of error:
• The confidence level C decreases.
• The sample size n increases.
g) Know how to compute the margin of error when the only information you are
given is the confidence interval’s left endpoint and right endpoint.
h) Be able to compute confidence intervals (with proper interval notation), and
interpret it in an English sentences in relation to the story problem situation (don’t
use notation in English description).
2. CONFIDENCE INTERVAL in estimating the population proportion
p
.
a) Be able to calculate a confidence interval for proportions.
b) Know the conditions that allow us to create a confidence interval for proportions.
Also, be able to justify these conditions by using the information given in the
story problem.
c) Know how to compute the margin of error for a proportion confidence interval.
d) Know how to compute when the only information you are given is the
confidence interval’s left endpoint and right endpoint.
p
ˆ
e) Know the difference between the standard deviation for sample proportions and
the standard error for sample proportions. Be able to compute each with the
appropriate formulas.
1
pf3
pf4

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STA2023 – Test 3 Partial List of Topics

Many of these topics will be included on the exam, but not necessarily all of them. Furthermore, other questions may be asked that are not included in this review. In addition to this review, look over the labs, worksheets and the assigned problems from the textbook. Know how to use your calculator to help you with anything mentioned below!

  1. CONFIDENCE INTERVAL general information (applies to both proportions and means). a) Be able to recognize the difference between a statistic and a parameter. b) Understand that a statistic is used to estimate a parameter. We want the statistic to be unbiased. Know what it means to be an unbiased estimator. c) Know what SRS stands for. d) Compute given any confidence level C. Understand what these symbols stand for.

z *

e) Know that confidence interval = estimate ± margin of error. f) Memorize two ways that you can decrease the margin of error:

  • The confidence level C decreases.
  • The sample size n increases. g) Know how to compute the margin of error when the only information you are given is the confidence interval’s left endpoint and right endpoint. h) Be able to compute confidence intervals (with proper interval notation), and interpret it in an English sentences in relation to the story problem situation (don’t use notation in English description).
  1. CONFIDENCE INTERVAL in estimating the population proportion p.

a) Be able to calculate a confidence interval for proportions. b) Know the conditions that allow us to create a confidence interval for proportions. Also, be able to justify these conditions by using the information given in the story problem. c) Know how to compute the margin of error for a proportion confidence interval. d) Know how to compute when the only information you are given is the confidence interval’s left endpoint and right endpoint.

p ˆ

e) Know the difference between the standard deviation for sample proportions and the standard error for sample proportions. Be able to compute each with the appropriate formulas.

  1. CONFIDENCE INTERVAL in estimating the population mean μ.

a) Be able to calculate a confidence interval for means. b) Know the conditions that allow us to create a confidence interval for means and to be able to use : t-distributions conditions. Also, be able to justify these conditions by using the information given in the story problem.

t *

c) The case that you are dealing with on this exam is when you don’t know the

standard deviation of the population σ. Instead, you will be given the standard

deviation of the sample. Use to compute the standard error of the sample means SE(

S (^) x Sx x ). d) You will need to look up on a table in order to compute the confidence interval or in order to compute its margin of error.

t *

e) Know how to compute the margin of error for a confidence interval for means given only the confidence level C , S (^) x and sample size n. f) Know how to compute x when the only information you are given is the confidence interval’s left endpoint and right endpoint.

TIPS:

  1. For each problem on the test, be able to quickly identify what type it is: a. Confidence interval for proportions (use z *) b. Confidence interval for means (use t *from table) c. Hypothesis test for proportions (z-test statistic with normalcdf) d. Hypothesis test for means (use t-test statistic with tcdf)

Below is a diagram you might find useful when determining which situation each problem represents.

Problem

Confidence Intervals

Hypothesis Tests

proportions p ˆ^ and p

means x and μ

proportions p ˆ^ and p

means x and μ

z* t*

z-score normalcdf

t-score tcdf

n

S

x ± t * x

n

p p

p p z 0 0

0 1

n

S

x t x

( )^ μ^0

n

p p p z

  1. Don’t spend too long on any one problem. If a question does not ask you to draw the normal curve representing the distribution then you are not required to do so. However , if you have time at the end of the test, then it is probably a good idea to go back and draw it for support of your work and ideas in partial credit questions. As always for partial credit questions, make sure that your work is correct, relevant and detailed.
  2. Have the steps for a test of hypothesis memorized. Be able to quickly write down these basic steps with confidence that you know what you are doing. The index card that you create is designed to help you if you get stuck. You should not be spending all of your time reading your index card during the test.
  3. Remember your calculator!