Unit 3: Chapter 8.0

Question 1

A student was asked to find a 95% confidence interval for the proportion of students who take notes using data from a random sample of size n = 77. Which of the following is a correct interpretation of the interval 0.14 < p < 0.32?

Answer 1

with 95% confidence, the proportion of all students who take notes is between 0.14 and 0.32.

Question 2

A 95% confidence interval implies that

Answer 2

with repeated sampling, 95% of the intervals constructed would contain the parameter of interest.

Question 3

True or False: A confidence interval has two components, a level of confidence and an interval (or range) of values.

Answer 3

True

Question 4

True or False: A confidence interval is used to estimate a parameter using data collected from a sample.

Answer 4

True

Question 5

True or False: A point estimate is a single numerical approximation for a population parameter while a confidence interval is a range of values with a level of confidence.

Answer 5

True

Question 6

A student was asked to find a 98% confidence interval for widget width using data from a random sample of size n = 15. Which of the following is a correct interpretation of the interval 13.8 < μ < 30.8?

Answer 6

With 98% confidence, the mean width of all widgets is between 13.8 and 30.8.

Question 7

A student was asked to find a 98% confidence interval for the proportion of students who take notes using data from a random sample of size n = 75. Which of the following is a correct interpretation of the interval 0.12 < p < 0.23?

Answer 7

With 98% confidence, the proportion of all students who take notes is between 0.12 and 0.23.

Question 8

True or False: The statement “We are __% confident that the interval between __ and __ contains the parameter of interest” is equivalent to saying that __% of the intervals constructed using repeated sampling would contain the parameter of interest.

Answer 8

True

Question 9

Determine whether the following statement is true or false:
While p represents the population proportion, the best point estimate for the population proportion is
p hat, the sample proportion

Answer 9

True

Question 10

Determine whether the following statement is true or false:
While μ represents the population mean, the best point estimate for the population mean is x bar, the sample mean

Answer 10

True

Question 11

Determine whether the following statement is true or false:
σ represents the significance level

Answer 11

False, It is sigma, It represents standard deviation

Question 12

True or False:
α represents the confidence level

Answer 12

False, it represents Significance level

Question 13

true or false: as the confidence level increases, the margin of error and width of the confidence level also increases

Answer 13

true

Question 14

What produces a narrower confidence interval

Answer 14

a larger sample size