Sophia Statistics Unit 5 Milestone 5 Brainstorming
Questions and Their Correct Solutions Graded 100%
Pass
A ball is drawn from a bag of 26 red and 12 yellow balls. The process is repeated 50 times,
replacing each ball that is drawn.
Which of the following statements about the distributions of counts and proportions is TRUE? -
CORRECT ANSWER ✔✔ -The count of drawing a red ball is a binomial distribution.
A market research company conducted a survey to find the level of affluence in a city. They
defined the category "affluence" for people earning $100,000 or more annually. Out of 267
persons who replied to their survey, 32 are considered affluent.
What is the 95% confidence interval for this population proportion? Answer choices are rounded
to the hundredths place. - CORRECT ANSWER ✔✔ -0.08 to 0.16
A researcher has a table of data with 5 column variables and 5 row variables.
The value for the degrees of freedom in order to calculate the statistic is __________. -
CORRECT ANSWER ✔✔ -16
A table represents the number of students who passed or failed an aptitude test at two different
campuses.
East CampusWest CampusPassed4837Failed5263
In order to determine if there is a significant difference between campuses and pass rate, the chi-
square test for association and independence should be performed.
, What is the expected frequency of West Campus and failed? - CORRECT ANSWER ✔✔ -57.5
students
Adam tabulated the values for the average speed on each day of his road trip as 60.5, 63.2, 54.7,
51.6, 72.3, 70.7, 67.2, and 65.4 mph.
If Adam wanted to construct a one-sample t-statistic, what would the value for the degrees of
freedom be? - CORRECT ANSWER ✔✔ -7
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7,
51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval.
What value of t* should Adam use to construct the confidence interval? Answer choices are
rounded to the thousandths place. - CORRECT ANSWER ✔✔ -2.998
Brad recorded the number of visitors at the local science museum during the week:
DayVisitorsTuesday18Wednesday24Thursday28Friday30
He expected to see 25 visitors each day. To answer whether the number of visitors follows a
uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the nearest hundredth. -
CORRECT ANSWER ✔✔ -3.36
Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He
defined the label "smoking regularly" for males smoking 30 or more cigarettes in a day and for
Questions and Their Correct Solutions Graded 100%
Pass
A ball is drawn from a bag of 26 red and 12 yellow balls. The process is repeated 50 times,
replacing each ball that is drawn.
Which of the following statements about the distributions of counts and proportions is TRUE? -
CORRECT ANSWER ✔✔ -The count of drawing a red ball is a binomial distribution.
A market research company conducted a survey to find the level of affluence in a city. They
defined the category "affluence" for people earning $100,000 or more annually. Out of 267
persons who replied to their survey, 32 are considered affluent.
What is the 95% confidence interval for this population proportion? Answer choices are rounded
to the hundredths place. - CORRECT ANSWER ✔✔ -0.08 to 0.16
A researcher has a table of data with 5 column variables and 5 row variables.
The value for the degrees of freedom in order to calculate the statistic is __________. -
CORRECT ANSWER ✔✔ -16
A table represents the number of students who passed or failed an aptitude test at two different
campuses.
East CampusWest CampusPassed4837Failed5263
In order to determine if there is a significant difference between campuses and pass rate, the chi-
square test for association and independence should be performed.
, What is the expected frequency of West Campus and failed? - CORRECT ANSWER ✔✔ -57.5
students
Adam tabulated the values for the average speed on each day of his road trip as 60.5, 63.2, 54.7,
51.6, 72.3, 70.7, 67.2, and 65.4 mph.
If Adam wanted to construct a one-sample t-statistic, what would the value for the degrees of
freedom be? - CORRECT ANSWER ✔✔ -7
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7,
51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval.
What value of t* should Adam use to construct the confidence interval? Answer choices are
rounded to the thousandths place. - CORRECT ANSWER ✔✔ -2.998
Brad recorded the number of visitors at the local science museum during the week:
DayVisitorsTuesday18Wednesday24Thursday28Friday30
He expected to see 25 visitors each day. To answer whether the number of visitors follows a
uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the nearest hundredth. -
CORRECT ANSWER ✔✔ -3.36
Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He
defined the label "smoking regularly" for males smoking 30 or more cigarettes in a day and for
