Question

For each the following questions,
• Define the appropriate parameter(s)
• State Ho and Ha
• Choose the correct model from the following list:
I. Test for a single mean II. Test for a single proportion III. Test for two means, independent samples IV. Test for mean difference, dependent sampling V. Test for two proportions, independent samples
a. You want to support the claim that male bass singers are taller than male tenor singers.

Parameter(s):

Hypotheses: Ho: __________________ Ha: __________________ Model to use: ______

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

Parameter(s):

Hypotheses: Ho: __________________ Ha: __________________ Model to use: ______

c. 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: Ho: __________________ Ha: __________________ Model to use: ______

d. 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: Ho: __________________ Ha: __________________ Model to use: ______

e. 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 highend grocers. Their mean overall quality is compared.

Parameter(s):

Hypotheses: Ho: __________________ Ha: __________________ Model to use: ______

f. 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: Ho: __________________ Ha: __________________ Model to use: ______

g. 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: Ho: __________________ Ha __________________ Model to use: ______

h. 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: Ho: __________________ Ha: __________________ Model to use: ______

i. 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: Ho: __________________ Ha: __________________ Model to use: ______

Answer 1

a:

Parameters; Population average height of male bass singers and population average height of male tenor singers

Hypotheses are:

H0: male bass singers have same average height as male tenor singers.

Ha: male bass singers are taller than male tenor singers.

In symbols:

Model: III. Test for two means, independent samples

b:

Parameters; True proportion of students will suffer financial hardship if tuition increased

Hypotheses are:

Model: II. Test for a single proportion

c:

Parameters: True average time spend on Internet (mu1) and true average time spend on TV (mu2)

Hypotheses are:

Model: III. Test for two means, independent samples

d:

Parameter: True average age for a community college student

Hypotheses are:

Model: I. Test for a single mean

e:

Parameter: True mean overall quality of tomatoes bought at farmers markets and true mean overall quality of tomatoes bought at grocery stores

Hypotheses are:

Model: III. Test for two means, independent samples

f:

Parameter(s): True proportion of patients undergoing a particular surgery who are cured and true proportion that are cured by the current non-surgical standard treatment

Hypotheses are:

Model: V. Test for two proportions, independent samples

g:

the percentage of entering freshmen that graduate is lower at a public university than at a private college

Parameter(s): True percentage of entering freshmen that graduate at a public university and true percentage of entering freshmen that graduate at a private college

Hypotheses are:

Model: V. Test for two proportions, independent samples

h:

Parameters; True average visiting team’s points and true average the home team’s points.

Hypotheses are:

Model: III. Test for two means, independent samples

(i):

Parameters; True average earning of female college graduates and True average earning of male college graduates

Hypotheses are:

Model: III. Test for two means, independent samples