AP Statistics Unit 9 Progress Check:
MCQ Part B CORRECT 100%
A researcher was interested in the relationship between a swimmer's hand length and
corresponding time to complete the 100-meter freestyle. The researcher selected a
random sample of twenty swimmers from all participants in a swim competition.
Assuming all conditions for inference are met, which of the following significance tests
should be used to investigate whether there is convincing evidence, at a 5 percent level
of significance, that a longer hand length is associated with a decrease in the time to
complete the 100-meter freestyle? - ANSWERA linear regression t-test for slope
A real estate software program gives the estimated values of homes and lists
characteristics of the homes. A prospective home buyer used the program to collect a
sample of twenty-five homes and recorded the estimated value of the homes and how
many bathrooms they contain. The prospective home buyer wants to investigate
whether there is an association between the number of bathrooms a home contains and
the estimated value of the home. Assuming all conditions for inference are met, which of
the following significance tests should be used for the investigation? - ANSWERA linear
regression t-test for slope
A sociologist recorded the number of contacts entered in a cell phone and the number
of texts sent in a week for 20 cell phone users. The resulting data were used to conduct
a hypothesis test to investigate whether there is a linear relationship between the
number of contacts and the number of texts sent. What are the correct hypotheses for
the test? - ANSWERHo:β1=0
Ha:β1≠0
A researcher recorded the number of e-mails received in a month and the number of
online purchases made during that month for 50 people with an online presence. The
resulting data were used to conduct a hypothesis test to investigate whether the slope
of the population regression line relating number of e-mails received to number of online
purchases is positive. What are the correct hypotheses for the test? - ANSWERHo:β1=0
Ha:β1>0
Which of the following scatterplots provides evidence that the condition of equal
variance for inference for the slope of a regression line has not been met? - ANSWERC
A researcher is interested in the relationship between time spent browsing items in an
online store and the total amount purchased from the store. The researcher selects a
random sample of visitors to the online store and records the time spent browsing and
the total amount of their purchase. The researcher will conduct a t-test for the slope of a
regression line, where time spent browsing is the explanatory variable and total amount
of purchase is the response variable. Which of the following would be an indication that
MCQ Part B CORRECT 100%
A researcher was interested in the relationship between a swimmer's hand length and
corresponding time to complete the 100-meter freestyle. The researcher selected a
random sample of twenty swimmers from all participants in a swim competition.
Assuming all conditions for inference are met, which of the following significance tests
should be used to investigate whether there is convincing evidence, at a 5 percent level
of significance, that a longer hand length is associated with a decrease in the time to
complete the 100-meter freestyle? - ANSWERA linear regression t-test for slope
A real estate software program gives the estimated values of homes and lists
characteristics of the homes. A prospective home buyer used the program to collect a
sample of twenty-five homes and recorded the estimated value of the homes and how
many bathrooms they contain. The prospective home buyer wants to investigate
whether there is an association between the number of bathrooms a home contains and
the estimated value of the home. Assuming all conditions for inference are met, which of
the following significance tests should be used for the investigation? - ANSWERA linear
regression t-test for slope
A sociologist recorded the number of contacts entered in a cell phone and the number
of texts sent in a week for 20 cell phone users. The resulting data were used to conduct
a hypothesis test to investigate whether there is a linear relationship between the
number of contacts and the number of texts sent. What are the correct hypotheses for
the test? - ANSWERHo:β1=0
Ha:β1≠0
A researcher recorded the number of e-mails received in a month and the number of
online purchases made during that month for 50 people with an online presence. The
resulting data were used to conduct a hypothesis test to investigate whether the slope
of the population regression line relating number of e-mails received to number of online
purchases is positive. What are the correct hypotheses for the test? - ANSWERHo:β1=0
Ha:β1>0
Which of the following scatterplots provides evidence that the condition of equal
variance for inference for the slope of a regression line has not been met? - ANSWERC
A researcher is interested in the relationship between time spent browsing items in an
online store and the total amount purchased from the store. The researcher selects a
random sample of visitors to the online store and records the time spent browsing and
the total amount of their purchase. The researcher will conduct a t-test for the slope of a
regression line, where time spent browsing is the explanatory variable and total amount
of purchase is the response variable. Which of the following would be an indication that
