A 95% confidence interval for the mean (µ) of a population is computed from a random sample and found to be 9 ± 3. Which of the following is a correct statement? O a. 95% of values sampled are between 6 and 12. O b. all of the above are true. O c. there is a 95% probability that the true mean is 9 and a 95% chance that the true margin of error is 3 O d. there is a 95% probability that u is between 6 and 12. O e. if we took many, many additional random samples and from each computed a 95% confidence interval for µ, approximately 95% of these intervals would contain µ.

A 95% confidence interval for the mean (µ) of a population is computed from a random sample and found to be 9 ± 3. Which of the following is a correct statement? O a. 95% of values sampled are between 6 and 12. O b. all of the above are true. O c. there is a 95% probability that the true mean is 9 and a 95% chance that the true margin of error is 3 O d. there is a 95% probability that u is between 6 and 12. O e. if we took many, many additional random samples and from each computed a 95% confidence interval for µ, approximately 95% of these intervals would contain µ.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

What is the z-score of x = 3 if it is 2 standard deviation to the left of the mean? -3 -2 1 O 2 1.
A population of scores has µ = 10 and σ = 2. If every score in the population is multiplied by 4, then what are the new values for the mean and standard deviation? Group of answer choices
I need help with b and c
Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years. Which of the following are sufficient conditions and are also true (to the best of our knowledge) for this study of Douglas College students’ ages? Select all that apply. A. X is normal variable B. n is greater or equal to 30 C. nq is greater or equal to 5 D. np is greater or equal to 5
A sample of n = 10 scores has a mean of 7. If a new score of X = 18 is added to the sample, what will be the new value for the sample mean? 8.0 8.8 9.78 6.36
.
Leave all probabilities as percentages. Define x on all problems with data. The biologist wants to estimate the average age of Coyotes in Tuolumne County. Her estimates from past experience suggest the standard deviation is 1.1years. How big of a sample should she take to be 95% sure his estimate is off by no more than 0.2years?
I need help with parts 2,3, and 6
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- vear-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: ns Ho: ? vSelect an answer v re H: ? v Select an answer c. The test statistic 2 v = (please show your answer to 3 decimal places.) urse d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 4 at a = 0.05, so there is…
Please help me with number six on this algebra II review. Thank you