Question

Answer the following questions about confidence intervals.

Answer 1

Answer:

the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.

Step-by-step explanation:

a.)

the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.

b.

the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.

c.

the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:

in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.

d.

regarding this question, we use a z score because:

For large random samples the sampling distribution of the sample proportion is approximately normal.

e.

the answer to this is false.

thank you!