A 99% confidence interval (in inches) for the mean height of a population is 65.67 < μ < 67.13. This result is based on a sample of size 144. If the confidence interval 65.87 < μ < 66.93 is obtained from the same sample data, what is the degree of confidence?

Confidence = 0.94 = 94%

Step-by-step explanation:

Solution:-

- A 99% confidence interval (in inches) for the mean height of a population is:

                                    65.44 < μ < 66.96

- If the confidence interval is obtained from the same sample data:

                                    65.65 < μ < 66.75

- The sample size, n = 144

- You will first need to find the sample mean (x_bar) and sample standard deviation (s) based on the confidence interval given. The width of the confidence interval is 2E  

                        2E = 66.96-65.44 = 1.52

                          E = 0.76

- The test statistic error (E) is defined as:

Where,     Z-critical for 99% confidence = 2.5758

- Since,  

                        x_bar - E = 65.44

                         x_bar = 65.44 - 0.76 = 66.2

- Use the value you found in part a to determine the degree of confidence for the interval 65.65 < μ < 66.75 is based on:

                         66.2 - E = 65.65

                         E = 0.55

- The test statistic error (E) is defined as:

- Determine the Z-critical value from equation above:

- The level of confidence for the corresponding Z-critical value would be:

                      Confidence =  P ( - z-critical < Z < z-critical )

                      Confidence =  P ( - 1.864 < Z < 1.864 )  

                      Confidence = 0.94 = 94%

final answer is : )

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?