Question

1. For each the following questions,

• Define the appropriate parameter(s)

• State ?! and ?!

• Choose the correct model from the following list:

  1. Test for a single mean

  2. Test for a single proportion

  3. Test for two means, independent samples

  4. Test for mean difference, dependent sampling

  5. Test for two proportions, independent samples

1. You want to support the claim that male bass singers are taller than male tenor singers. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

2. You want to reject the claim that no more than 10% of students will suffer financial hardship if tuition

   increased. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

3. You want to support the claim that people spend, on average, more time on the Internet than they do

   watching television. 200 people will be asked how much time they spent on the TV and on the Internet. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

4. You want to test the claim that the average age for a community college student is over 27. You want to

   support this claim and sample 20 students. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

5. Is there a difference in mean overall quality of tomatoes bought at farmers markets versus at grocery

stores? Tomatoes are purchased at 30 randomly selected farmers markets and 40 randomly selected high- end grocers. Their mean overall quality is compared.

Parameter(s):

Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

6. A hospital surgery review board wants to determine if the proportion of patients undergoing a particular surgery who are cured is greater than the proportion that are cured by the current non-surgical standard treatment.

   Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

7. A higher education centered non-profit organization wants to determine if the percentage of entering

   freshmen that graduate is lower at a public university than at a private college. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

8. Does the home team have an advantage in NBA basketball games? In a study of 25 games, the visiting

   team’s points were compared to the home team’s points. Parameter(s):

   Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

9. A hypothesis test is performed to determine if recent female college graduates are subject to pay discrimination, earning less on average for similar work than recent male college graduates with similar qualifications.

   Parameter(s):

Hypotheses: ?!: __________________ ?!: __________________ Model to use: ______

Answer 1

1. You want to support the claim that male bass singers are taller than male tenor singers. Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for two means, independent samples

2. You want to reject the claim that no more than 10% of students will suffer financial hardship if tuition

   increased. Parameter(s):

   Hypotheses: ?₀ : p>=0.1 ?₁ : p< 0.1 Model to use: Test for a single proportion

3. You want to support the claim that people spend, on average, more time on the Internet than they do

   watching television. 200 people will be asked how much time they spent on the TV and on the Internet. Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for two means, independent samples

4. You want to test the claim that the average age for a community college student is over 27. You want to

   support this claim and sample 20 students. Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for a single mean

5. Is there a difference in mean overall quality of tomatoes bought at farmers markets versus at grocery

stores? Tomatoes are purchased at 30 randomly selected farmers markets and 40 randomly selected high- end grocers. Their mean overall quality is compared.

Parameter(s):

Hypotheses: ?₀ : ?₁ : Model to use: Test for two means, independent samples

6. A hospital surgery review board wants to determine if the proportion of patients undergoing a particular surgery who are cured is greater than the proportion that are cured by the current non-surgical standard treatment.

   Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for two proportions, independent samples

7. A higher education centered non-profit organization wants to determine if the percentage of entering

   freshmen that graduate is lower at a public university than at a private college. Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for two proportions, independent samples

8. Does the home team have an advantage in NBA basketball games? In a study of 25 games, the visiting

   team’s points were compared to the home team’s points. Parameter(s):

   Hypotheses: ?₀ : ?₁ : Model to use: Test for two means, independent samples

9. A hypothesis test is performed to determine if recent female college graduates are subject to pay discrimination, earning less on average for similar work than recent male college graduates with similar qualifications.

   Parameter(s): Hypotheses: ?₀ : ?₁ : Model to use: Test for two means, independent samples