1) True
Reason: The 1- confidence means that if you repeat the sampling procedure a large number of times and construct a confidence interval with 1- confidence, then 1- proportion of these confidence intervals are likely to contain the true population parameter.
2.)
The required sample size rounded up to the nearest integer is 1754 unis
Explanation:
For the pilot sample,
,
where d=half width.
Therefore,
=21.3671
Now, using above 's' as an estimate of population standard deviation, and assuming normal distribution, we have,
1) 2) A (1-a) confidence interval procedure ensures that if a large number of confidence intervals...
Assignment 2: Connection between Confidence Intervals and Sampling Distributions: The purpose of this activity is to help give you a better understanding of the underlying reasoning behind the interpretation of confidence intervals. In particular, you will gain a deeper understanding of why we say that we are “95% confidentthat the population mean is covered by the interval.” When the simulation loads you will see a normal-shaped distribution, which represents the sampling distribution of the mean (x-bar) for random samples of...
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,...
33. Find the z-score used in the formula to construct a 92% confidence interval for a population proportion: O a. 1.4051 Ob. 1.5548 Oc. 1.7507 Od. 1.96 34. All of the following are TRUE about 95% confidence intervals for a population mean except ::* O a. The population mean may or may not be in the confidence interval. Ob. The value of T varies depending on sample size. Oc. If the sample size is large, the Central Limit Theorem says...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
Narrative: Classes 1 and 2 Suppose a 95% confidence interval for between Class 1 and Class 2 (in that These results were based on independent sample class. confidence interval for the difference in test scores nd Class 2 (in that order) is the following: 9+/- 2. ependent samples of size 100 from each 17. Classes 1 and 2 narrative) What can you conci ou are confident that the averages for Class 1 and Class 2 are significantly different b. You...
A random sample of size n 200 yielded p 0.50 a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain b. Construct a 95% confidence interval for p C. Interpret the 95% confidence interval d. Explain what is meant by the phrase "95% confidence interval." a. Is the sample large enough? AYes, because np 2 15 and nq2 15 No, because np 2 15 and nq< 15 No, because...
just explain in words 1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
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...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
Basic Computation: Confidence Interval for My – M2 Consider two inde- pendent normal distributions. A random sample of size n = 20 from the fire distribution showed x = 12 and a random sample of size n2 = 25 from the second distribution showed X2 = 14. We were unable to transcribe this image(a) Check Requirements If o, and on are known, what distribution does 1 - X, follow? Explain. (b) Given o = 3 and 0 2 = 4,...