Solve the problem.
1) Find the critical value that corresponds to a degree of confidence of 91%. A) 1.70B) 1.34 C) 1.645 D) 1.75
2) The following confidence interval is obtained for a population proportion, p:0.817 < p < 0.855 Use these confidence interval limits to find the point estimate, A) 0.839 B) 0.836 C) 0.817 D) 0.833
Find the margin of error for the 95% confidence interval used to estimate the population proportion. 3) n = 186, x = 103
A) 0.0643 B) 0.125 C) 0.00260 D) 0.0714
Find the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p. 4) Margin of error: 0.002; confidence level: 93%; and unknown A) 204,757 B) 410 C) 204,750 D) 405
5) Margin of error: 0.07; confidence level: 95%; from a prior study, is estimated by the decimal equivalent of 92%.
A) 58 B) 174 C) 51 D) 4
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
6) When 343 college students are randomly selected and surveyed, it is found that 110 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car. A) 0.256 < p < 0.386 B) 0.279 < p < 0.362C) 0.271 < p < 0.370 D) 0.262 < p < 0.379
Determine whether the given conditions justify using the margin of error E = when finding a confidence interval estimate of the population mean . 7) The sample size is n = 9, is not known, and the original population is normally distributed. A) Yes B) No
The Research paper on Confidence intervals
Confidence Intervals have numerous applications for professional activities. Confidence Intervals have a wide use in defining the outcome of a particular question. The use of confidence levels are used commonly in Health, Business, Politics and Engineering venues. There are three examples that will be recognized as having real world applications regarding confidence intervals. An Empirical Test of ...
Use the confidence level and sample data to find the margin of error E. 8) Systolic blood pressures for women aged 18-24: 94% confidence; n = 92, x = 114.9 mm Hg, = 13.2 mm Hg
A) 47.6 mm Hg B) 2.3 mm Hg C) 2.6 mm Hg D) 9.6 mm Hg
Use the confidence level and sample data to find a confidence interval for estimating the population .
9) A group of 52 randomly selected students have a mean score of 20.2 with a standard deviation of 4.6 on a placement test. What is the 90 percent confidence interval for the mean score, , of all students taking the test?
A) 19.1 < < 21.3 B) 18.7 < < 21.7C) 19.0 < < 21.5 D) 18.6 < < 21.8
Use the margin of error, confidence level, and standard deviation to find the minimum sample size required to estimate an unknown population mean . 10) Margin of error: $100, confidence level: 95%, = $403
A) 91 B) 63 C) 108 D) 44
Formula sheet for Final Exam
Mean Standard deviation Variance =
Mean from a frequency distribution Range rule of thumb
Empirical Rule 68-95-99.7 z – score weighted mean
Outliers
if A and B are mutually exclusive
if A and B are not mutually exclusive
if A and B are independent
if A and B are dependent
Complementary events
mean of a probability distribution
standard deviation of a
probability distribution
Binomial probability
Binomial probability calculator
Exactly binompdf(n,p,x)
At least 1 – binomcdf(n,p,x –1)
At most binomcdf(n,p,x)
Binomial mean
Binomial standard deviation
Expected value
Margin of error p
Sample size p or
The Essay on Estimation For Single Populations Confidence Intervals Notes
Chapter 8: Statistical Inference: Estimation for Single Populations Confidence Intervals Notes * There will be no questions on the exam regarding the “proportion” of a population In optional Section 7.5 we concluded this chapter by comparing confidence intervals for μ with tolerance intervals. We emphasized that a tolerance interval is meant to contain a specified percentage of the individual ...
Margin of error mean
Sample size mean
Margin of error mean
