Exam 1 Flashcards

1
Q

A statement that specifies some testable relationship among variables

A

Hypothesis

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2
Q

A statement of no difference, no effect, no relationship, or independence among the variables

A

Null Hypothesis

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3
Q

A statement in which a difference effect, relationship, or dependence is expected

A

Alternative Hypothesis

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4
Q

H0: μ = μ0
H1: μ ≠ μ0

A

Two-tailed test

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5
Q

H0: μ ≤ μ0
H1: μ > μ0

A

Right-tailed test

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6
Q

H0: μ ≥ μ0
H1: μ < μ0

A

Left-tailed test

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7
Q

Hypothesis are always stated in _______, NOT ______.

A

Always population parameters, NEVER sample statistics

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8
Q

Identifying null and alternative hypotheses (3):

A
  1. Identify the specific claim or hypothesis to be tested and put it into symbolic form
  2. Give the symbolic form of the claim that must be true when the original claim is false
  3. Of the two symbolic expressions obtained so far, let the null hypothesis (H0) be the one that contains some form of equality ( =, less than or equal to, greater than or equal to). The other symbolic expression becomes the alternative hypothesis (H1)
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9
Q

Hypothesis Example:

Claim: The population of U.S. commercial aircraft has an average age of 10 years or less

What is the null and alternative hypothesis?

A
  1. μ ≤ 10
  2. μ > 10
  3. H0: μ ≤ 10
    H1: μ > 10
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10
Q

Hypothesis Example:

Company XYZ will introduce a new product nationally if test market results indicate more than a 20% market share

A

H0: π ≤ .20
Ha: π > .20

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11
Q

Hypothesis Example:

Michigan State claims that the average GMAT score for entering MBAs is 640.

A

H0: μ = 640
Ha: μ ≠ 640

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12
Q

Hypothesis Example:

The average weight of the offensive linemen on MSU’s football team is less than 325 pounds.

A

H0: μ ≥ 325
Ha: μ < 325

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13
Q

Where is the rejection region?

A

Calculated value > table value

Or

-Calculate value < -table value

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14
Q

Hypothesis Testing Procedure (5):

A
  1. Specify the null and alternative hypotheses
  2. Choose the appropriate statistical test
  3. Specify the desired level of significance, i.e. the alpha level
  4. Compute the value of the test statistic
  5. Compare the table value from step 3 to the calculated value from step 4
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15
Q

Rejecting a true null hypothesis

A

Type I Error

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16
Q

Accepting a false null hypothesis

A

Type II Error

17
Q

Nominal examples and measures of central tendencies and dispersion:

A

Examples:

  • Male-female
  • User-nonuser
  • Occupations
  • Uniform numbers

Measure of central tendency: mode

Measure of dispersion: frequencies

18
Q

Ordinal examples and measures of central tendencies and dispersion:

A

Examples:

  • Brand preference
  • Movie Ratings
  • Grades of Lumber

Measure of central tendency: Median

Measure of dispersion: Inter-quartile range

19
Q

Interval examples and measures of central tendencies and dispersion:

A

Examples:

  • Temperature scale
  • GPA

Measure of central tendency: Mean

Measure of dispersion: Standard Deviation

20
Q

Ratio examples and measures of central tendencies and dispersion:

A

Examples:

  • Number of units sold
  • Number of purchasers
  • Weight

Measure of central tendency: Mean

Measure of dispersion: Standard Deviation

21
Q

Basic points concerning measurement scales (3):

A
  1. The higher order scale possesses all of the information that a lower order scale possesses
  2. The highest type of scale you can use is determined by the attribute you are measuring
  3. If you use a statistic that is inappropriate for the type of date that you have, the results will be meaningless
22
Q

Measurements:

Lowest =
Highest =

A
Lowest = Nominal
Highest = Ratio
23
Q

Assumptions of the T-test (4):

A
  1. The variable is normally distributed in both populations
  2. The population variances are unknown but assumed to be equal
  3. The samples are independent
  4. The sample sizes are less than 30 for either sample
24
Q

What is n1 and n2?
What is x1 and x2?
What is D0?
What is Sp^2?

A

n1 & n2: sample sizes
x1 and x2: sample means
D0: Hypothesized difference in population means
Sp^2: Pooled estimate of the variance

25
Q

What is S1^2 and S2^2?

A

The sample variances

26
Q

How do you find the degrees of freedom?

A

n1 + n2 - 2

27
Q

If the degrees of freedom do not match a number in the table, always use the _____.

A

lower df value

28
Q

Unless otherwise specified, a =

A

.05