Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of the following statements would be correct? A. We expect that 95% of the intervals so constructed would contain the true population mean. B. We are 95% sure that the true population mean lies either within the constructed interval or outside the constructed interval. C. Taking 100 samples of the same size, and constructing a new confidence interval from each sample, would yield five intervals which would contain the true population mean. D. There is a probability of 95% that our constructed interval does contains the true population mean
Homework Answers
Answer is A=we expect that 95% of the intervals constucted would contain true population mean.
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Let's say we have constructed a 95% confidence interval
estimate for a population mean. Which of...
Explain what "95% confidence" means in a 95% confidence interval. What does "95% confidence" mean in...
Explain what "95% confidence" means in a 95% confidence interval. What does "95% confidence" mean in a 95% confidence interval? A. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 95 of the intervals to include the parameter and 5 to not include the parameter. B. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 95%....
Which of the following is true about a 95% confidence interval, with a known sigma? a....
Which of the following is true about a 95% confidence interval, with a known sigma? a. The corresponding value for z is 1.65 b. 95% of similarly constructed intervals would contain the population mean. c. we can use either the t or z distribution, whichever we prefer d. All options are true
which of the following correctly describes a 95% confidence interval for a mean? Circle the correct...
which of the following correctly describes a 95% confidence interval for a mean? Circle the correct answer. e, A range within which 95% of all possible sample means fall An interval constructed using a procedure such that 95% of intervals constructed this way will contain the population mean. A range within which 90% of all data values in the population fall All of the above None of the above . ii. iii. iv. v.
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a...
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a random sample of size n=100. Your sample mean x (with a bar over it) = 80.5 and your calculated maximum error of the estimate is E = 3.5. What does this suggest? Circle answer. a. in 5% of all samples of this size, the mean is more than 84, b. in 95% of all samples of this size, the mean is at least 77,...
We have constructed a 95% confidence interval for the population mean income for the neighborhood. The...
We have constructed a 95% confidence interval for the population mean income for the neighborhood. The confidence interval is ($15,040, $15,300). In order to be eligible for government aid, a neighborhood must have an average income of $15,000 or less. Based upon the confidence interval we can conclude that the neighborhood is: a. Definitely not eligible for aid. b. Probably not eligible for aid. c. Probably eligible for aid. d. Definitely eligible for aid. e. None of the above answers...
A statistician constructed a confidence interval for the mean μ of a population and the result...
A statistician constructed a confidence interval for the mean μ of a population and the result was the interval (25,30). Which of the following statements is/are true? There is a 0.9 probability μ is between 25 and 30. If 100 random samples of the same size are picked and a 90% confidence interval is calculated from each one, then μ will be in 90 of those 100 confidence intervals. If 90% confidence intervals are calculated from all possible samples of...
100 random samples were taken, and for each random sample we made a 95% confidence interval,...
100 random samples were taken, and for each random sample we made a 95% confidence interval, about how many of those 100 confidence intervals would actually contain the parameter? Increasing the confidence level (more than one) a increase the width of a confidence interval b increase the probability that the parameter is in the confidence interval c increase the percentage of samples which will create a confidence interval that contains the parameter d Increase the margin of error A...
A researcher is interested in estimating the mean cholesterol level in men. Based on a simple...
A researcher is interested in estimating the mean cholesterol level in men. Based on a simple random sample of 54 men, the 95% confidence interval for the population mean μ was 189.9 < μ < 210.1 A. If 100 different samples of size 54 are selected, and based on each sample, a confidence interval was constructed, exactly 95 of these confidence intervals would contain the true value of μ. B. If many different samples of size 54 are selected and,...
what i currently have is wrong...thanks in advance! A 95% confidence interval for a population proportion...
what i currently have is wrong...thanks in advance!
A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of the following statements are correct? Select all that apply If we were to use a 90% confidence level, the confidence interval from the same data would produce an interval wider than the 95% confidence interval. There is a 95% chance that the 95% confidence interval actually contains the population proportion. We don't...
What is meant by the term “90% confident” when constructing a confidence interval for a proportion?...
What is meant by the term “90% confident” when constructing a confidence interval for a proportion? A. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample proportion. B. If we took repeated samples, approximately 90% of the samples would produce the same confidence interval. C. If we took repeated samples, the sample proportion would equal the population mean in approximately 90% of the samples. D. If we took repeated samples,...
which of the following correctly describes a 95% confidence interval for a mean? Circle the correct answer. e, A range within which 95% of all possible sample means fall An interval constructed using a procedure such that 95% of intervals constructed this way will contain the population mean. A range within which 90% of all data values in the population fall All of the above None of the above . ii. iii. iv. v.
what i currently have is wrong...thanks in advance!
A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of the following statements are correct? Select all that apply If we were to use a 90% confidence level, the confidence interval from the same data would produce an interval wider than the 95% confidence interval. There is a 95% chance that the 95% confidence interval actually contains the population proportion. We don't...
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