Statistics-Researchers want to test a new anti-anxiety medication

3. Researchers
want to test a new anti-anxiety medication. They measure the anxiety of 36
participants on different dosages of the medication: 0mg, 50mg, and 100mg.
Participants are also divided based on what school they are attending, which
researchers hypothesize will also affect anxiety levels. Anxiety is rated on a
scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”. Use
alpha = 0.05 to conduct your analysis.

4.
(a) Sales of Comfort brand headache medicine for the past ten weeks at Rosco
Drugs are shown below. If Rosco Drugs uses a 3-period moving average to
forecast sales, what is the forecast for Week 11?

(b)Business
at Terry’s Tie Shop can be viewed as falling into three distinct seasons: (1)
Christmas (November and December); (2) Father’s Day (late May to mid-June); and
(3) all other times. Average weekly sales ($) during each of the three seasons
during the past four years are shown below. Determine forecasts for year 5.

5.
Using the data in the Table below, determine whether and how math test scores
differ by instructor, student IQ and motivation levels.

Fictional Math Test Scores by Teacher,
Student IQ, and Student Motivation.

6.
According to the leadership literature, there are a number of different
leadership styles. Listed below are scores obtained from an instrument designed
to measure a particular leadership style, which will be referred to as style X.
Of interest is whether X differs by school district type in terms of urbanity,
and by years of experience. A stratified random sample of school principals
were selected from three district types (mostly urban, mostly suburban, and
mostly rural). The scores on style X range from 100 to 0. The closer the score
to 100, the more the respondent conforms to style X, while the closer the score
to 0, the less the respondent conforms to style X.
Is
there any evidence that X differs among the three district types, once years of
experience is taken into account?

7.
A researcher is interested in learning whether frequency of reading at home to
elementary-aged children produces differential effects on reading achievement.
After obtaining information from a randomly selected sample of parents about
this behavior, the following classifications and standardized achievement
scores were recorded. (Note: frequency classifications as follows: a = less
than once per month, b = once to three times per month, c = more than three
times per month.) In addition to reading frequency, information regarding the
family’s status concerning whether or not the family’s child receives either
free or reduced lunch is recorded as a proxy for SES. Also, students’ IQ scores
were recorded.

Is
frequency of reading at home related to student reading achievement once SES
and IQ are taken into account?

8.
An administrator wishes to know whether student behavioral problems can be
linked to student performance. If students were suspended or reprimanded more
than once, they are classified as having behavioral problems. In addition, each
student’s SES is known, and should be taken into account. The administrator
randomly selects 13 students and collects the appropriate data.

9.
Consider the following time series data.

Construct
a time series plot. What type of pattern exists in the data?

a.
Develop the three-week moving average forecasts for this time
series. Compute mean square error (MSE) and a forecast for week 8.

b.
Use smoothing constant (α) = .2 to compute the exponential
smoothing forecasts for the time series. Compute MSE and a forecast for week 8.

c.
Compare the three-week moving average approach with the exponential
smoothing approach using α = .2. Which appears to provide more accurate
forecasts based on MSE?

d.
Use a smoothing constant of α = .4 to compute the exponential
smoothing forecasts.
Does a smoothing constant of .2 or .4 appear to
provide more accurate forecasts based on MSE? Explain.

(ii)The values of Alabama building contracts
(in $ millions) for a 12-month period follow.
240
350 230 260 280 320 220 310 240 310 240 230
a.
Construct a time series plot. What type of pattern exists in the data?

10. Martin Motors
has in stock three cars of the same make and model. The president would like to
compare the gas consumption of the three cars (labeled car A, car B, and car C)
using four different types of gasoline. For each trial, a gallon of gasoline
was added to an empty tank, and the car was driven until it ran out of gas. The
following table shows the number of miles driven in each trial.
Using the .05 level of significance:
a)
Is there a difference among types of gasoline?

b)
Is there a difference in the cars?

3. Researchers
want to test a new anti-anxiety medication. They measure the anxiety of 36
participants on different dosages of the medication: 0mg, 50mg, and 100mg.
Participants are also divided based on what school they are attending, which
researchers hypothesize will also affect anxiety levels. Anxiety is rated on a
scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”. Use
alpha = 0.05 to conduct your analysis.

4.
(a) Sales of Comfort brand headache medicine for the past ten weeks at Rosco
Drugs are shown below. If Rosco Drugs uses a 3-period moving average to
forecast sales, what is the forecast for Week 11?

(b)Business
at Terry’s Tie Shop can be viewed as falling into three distinct seasons: (1)
Christmas (November and December); (2) Father’s Day (late May to mid-June); and
(3) all other times. Average weekly sales ($) during each of the three seasons
during the past four years are shown below. Determine forecasts for year 5.

5.
Using the data in the Table below, determine whether and how math test scores
differ by instructor, student IQ and motivation levels.

Fictional Math Test Scores by Teacher,
Student IQ, and Student Motivation.

6.
According to the leadership literature, there are a number of different
leadership styles. Listed below are scores obtained from an instrument designed
to measure a particular leadership style, which will be referred to as style X.
Of interest is whether X differs by school district type in terms of urbanity,
and by years of experience. A stratified random sample of school principals
were selected from three district types (mostly urban, mostly suburban, and
mostly rural). The scores on style X range from 100 to 0. The closer the score
to 100, the more the respondent conforms to style X, while the closer the score
to 0, the less the respondent conforms to style X.
Is
there any evidence that X differs among the three district types, once years of
experience is taken into account?

7.
A researcher is interested in learning whether frequency of reading at home to
elementary-aged children produces differential effects on reading achievement.
After obtaining information from a randomly selected sample of parents about
this behavior, the following classifications and standardized achievement
scores were recorded. (Note: frequency classifications as follows: a = less
than once per month, b = once to three times per month, c = more than three
times per month.) In addition to reading frequency, information regarding the
family’s status concerning whether or not the family’s child receives either
free or reduced lunch is recorded as a proxy for SES. Also, students’ IQ scores
were recorded.

Is
frequency of reading at home related to student reading achievement once SES
and IQ are taken into account?

8.
An administrator wishes to know whether student behavioral problems can be
linked to student performance. If students were suspended or reprimanded more
than once, they are classified as having behavioral problems. In addition, each
student’s SES is known, and should be taken into account. The administrator
randomly selects 13 students and collects the appropriate data.

9.
Consider the following time series data.

Construct
a time series plot. What type of pattern exists in the data?

a.
Develop the three-week moving average forecasts for this time
series. Compute mean square error (MSE) and a forecast for week 8.

b.
Use smoothing constant (α) = .2 to compute the exponential
smoothing forecasts for the time series. Compute MSE and a forecast for week 8.

c.
Compare the three-week moving average approach with the exponential
smoothing approach using α = .2. Which appears to provide more accurate
forecasts based on MSE?

d.
Use a smoothing constant of α = .4 to compute the exponential
smoothing forecasts.
Does a smoothing constant of .2 or .4 appear to
provide more accurate forecasts based on MSE? Explain.

(ii)The values of Alabama building contracts
(in $ millions) for a 12-month period follow.
240
350 230 260 280 320 220 310 240 310 240 230
a.
Construct a time series plot. What type of pattern exists in the data?

10. Martin Motors
has in stock three cars of the same make and model. The president would like to
compare the gas consumption of the three cars (labeled car A, car B, and car C)
using four different types of gasoline. For each trial, a gallon of gasoline
was added to an empty tank, and the car was driven until it ran out of gas. The
following table shows the number of miles driven in each trial.
Using the .05 level of significance:
a)
Is there a difference among types of gasoline?

b)
Is there a difference in the cars?

3. Researchers
want to test a new anti-anxiety medication. They measure the anxiety of 36
participants on different dosages of the medication: 0mg, 50mg, and 100mg.
Participants are also divided based on what school they are attending, which
researchers hypothesize will also affect anxiety levels. Anxiety is rated on a
scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”. Use
alpha = 0.05 to conduct your analysis.

4.
(a) Sales of Comfort brand headache medicine for the past ten weeks at Rosco
Drugs are shown below. If Rosco Drugs uses a 3-period moving average to
forecast sales, what is the forecast for Week 11?

(b)Business
at Terry’s Tie Shop can be viewed as falling into three distinct seasons: (1)
Christmas (November and December); (2) Father’s Day (late May to mid-June); and
(3) all other times. Average weekly sales ($) during each of the three seasons
during the past four years are shown below. Determine forecasts for year 5.

5.
Using the data in the Table below, determine whether and how math test scores
differ by instructor, student IQ and motivation levels.

Fictional Math Test Scores by Teacher,
Student IQ, and Student Motivation.

6.
According to the leadership literature, there are a number of different
leadership styles. Listed below are scores obtained from an instrument designed
to measure a particular leadership style, which will be referred to as style X.
Of interest is whether X differs by school district type in terms of urbanity,
and by years of experience. A stratified random sample of school principals
were selected from three district types (mostly urban, mostly suburban, and
mostly rural). The scores on style X range from 100 to 0. The closer the score
to 100, the more the respondent conforms to style X, while the closer the score
to 0, the less the respondent conforms to style X.
Is
there any evidence that X differs among the three district types, once years of
experience is taken into account?

7.
A researcher is interested in learning whether frequency of reading at home to
elementary-aged children produces differential effects on reading achievement.
After obtaining information from a randomly selected sample of parents about
this behavior, the following classifications and standardized achievement
scores were recorded. (Note: frequency classifications as follows: a = less
than once per month, b = once to three times per month, c = more than three
times per month.) In addition to reading frequency, information regarding the
family’s status concerning whether or not the family’s child receives either
free or reduced lunch is recorded as a proxy for SES. Also, students’ IQ scores
were recorded.

Is
frequency of reading at home related to student reading achievement once SES
and IQ are taken into account?

8.
An administrator wishes to know whether student behavioral problems can be
linked to student performance. If students were suspended or reprimanded more
than once, they are classified as having behavioral problems. In addition, each
student’s SES is known, and should be taken into account. The administrator
randomly selects 13 students and collects the appropriate data.

9.
Consider the following time series data.

Construct
a time series plot. What type of pattern exists in the data?

a.
Develop the three-week moving average forecasts for this time
series. Compute mean square error (MSE) and a forecast for week 8.

b.
Use smoothing constant (α) = .2 to compute the exponential
smoothing forecasts for the time series. Compute MSE and a forecast for week 8.

c.
Compare the three-week moving average approach with the exponential
smoothing approach using α = .2. Which appears to provide more accurate
forecasts based on MSE?

d.
Use a smoothing constant of α = .4 to compute the exponential
smoothing forecasts.
Does a smoothing constant of .2 or .4 appear to
provide more accurate forecasts based on MSE? Explain.

(ii)The values of Alabama building contracts
(in $ millions) for a 12-month period follow.
240
350 230 260 280 320 220 310 240 310 240 230
a.
Construct a time series plot. What type of pattern exists in the data?

10. Martin Motors
has in stock three cars of the same make and model. The president would like to
compare the gas consumption of the three cars (labeled car A, car B, and car C)
using four different types of gasoline. For each trial, a gallon of gasoline
was added to an empty tank, and the car was driven until it ran out of gas. The
following table shows the number of miles driven in each trial.
Using the .05 level of significance:
a)
Is there a difference among types of gasoline?

b)
Is there a difference in the cars?

3. Researchers
want to test a new anti-anxiety medication. They measure the anxiety of 36
participants on different dosages of the medication: 0mg, 50mg, and 100mg.
Participants are also divided based on what school they are attending, which
researchers hypothesize will also affect anxiety levels. Anxiety is rated on a
scale of 1-10, with 10 being “high anxiety” and 1 being “low anxiety”. Use
alpha = 0.05 to conduct your analysis.







4.
(a) Sales of Comfort brand headache medicine for the past ten weeks at Rosco
Drugs are shown below. If Rosco Drugs uses a 3-period moving average to
forecast sales, what is the forecast for Week 11?




(b)Business
at Terry’s Tie Shop can be viewed as falling into three distinct seasons: (1)
Christmas (November and December); (2) Father’s Day (late May to mid-June); and
(3) all other times. Average weekly sales ($) during each of the three seasons
during the past four years are shown below. Determine forecasts for year 5.





5.
Using the data in the Table below, determine whether and how math test scores
differ by instructor, student IQ and motivation levels.



Fictional Math Test Scores by Teacher,
Student IQ, and Student Motivation.


6.
According to the leadership literature, there are a number of different
leadership styles. Listed below are scores obtained from an instrument designed
to measure a particular leadership style, which will be referred to as style X.
Of interest is whether X differs by school district type in terms of urbanity,
and by years of experience. A stratified random sample of school principals
were selected from three district types (mostly urban, mostly suburban, and
mostly rural). The scores on style X range from 100 to 0. The closer the score
to 100, the more the respondent conforms to style X, while the closer the score
to 0, the less the respondent conforms to style X.
Is
there any evidence that X differs among the three district types, once years of
experience is taken into account?













7.
A researcher is interested in learning whether frequency of reading at home to
elementary-aged children produces differential effects on reading achievement.
After obtaining information from a randomly selected sample of parents about
this behavior, the following classifications and standardized achievement
scores were recorded. (Note: frequency classifications as follows: a = less
than once per month, b = once to three times per month, c = more than three
times per month.) In addition to reading frequency, information regarding the
family’s status concerning whether or not the family’s child receives either
free or reduced lunch is recorded as a proxy for SES. Also, students’ IQ scores
were recorded.











Is
frequency of reading at home related to student reading achievement once SES
and IQ are taken into account?



8.
An administrator wishes to know whether student behavioral problems can be
linked to student performance. If students were suspended or reprimanded more
than once, they are classified as having behavioral problems. In addition, each
student’s SES is known, and should be taken into account. The administrator
randomly selects 13 students and collects the appropriate data.






9.
Consider the following time series data.


Construct
a time series plot. What type of pattern exists in the data?


a.
Develop the three-week moving average forecasts for this time
series. Compute mean square error (MSE) and a forecast for week 8.



b.
Use smoothing constant (α) = .2 to compute the exponential
smoothing forecasts for the time series. Compute MSE and a forecast for week 8.



c.
Compare the three-week moving average approach with the exponential
smoothing approach using α = .2. Which appears to provide more accurate
forecasts based on MSE?




d.
Use a smoothing constant of α = .4 to compute the exponential
smoothing forecasts.
Does a smoothing constant of .2 or .4 appear to
provide more accurate forecasts based on MSE? Explain.





(ii)The values of Alabama building contracts
(in $ millions) for a 12-month period follow.
240
350 230 260 280 320 220 310 240 310 240 230
a.
Construct a time series plot. What type of pattern exists in the data?






10. Martin Motors
has in stock three cars of the same make and model. The president would like to
compare the gas consumption of the three cars (labeled car A, car B, and car C)
using four different types of gasoline. For each trial, a gallon of gasoline
was added to an empty tank, and the car was driven until it ran out of gas. The
following table shows the number of miles driven in each trial.
Using the .05 level of significance:
a)
Is there a difference among types of gasoline?









b)
Is there a difference in the cars?


Answers

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