13. (Topic 13) Do each part below for full credit in this topic. (a) In order to estimate the average GPA of students at a college, a professor takes a random sample of 57 students and find a sample mean of 2.79 with a sample standard deviation of 1.81. Write out the formula you should use and calculate the margin of error for a 95% confidence interval. (b) When conducting a new poll, what is the minimum sample size you would need to be 90% confident that the population proportion is estimated to within a 0.04 margin of error? Round your answer up to the nearest whole number
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
13. (Topic 13) Do each part below for full credit in this topic.
-
(a) In order to estimate the average GPA of students at a college, a professor takes a random sample of 57 students and find a sample mean of 2.79 with a sample standard deviation of 1.81. Write out the formula you should use and calculate the margin of error for a 95% confidence interval.
-
(b) When conducting a new poll, what is the minimum
sample size you would need to be 90% confident that the population proportion is estimated to within a 0.04 margin of error?
Round your answer up to the nearest whole number.
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