Let μ denote some population mean of interest and suppose a 95% confidence interval for μ is calculated to be (0.63, 0.73) and a 99% confidence interval for μ is calculated to be (0.61,0.75). Also, suppose that we want to test H0: μ = 0.74 vs. Ha: μ ≠ 0.74 What can you say about the corresponding p-value? Choose from following letters.  a. The corresponding p-value will be smaller than 0.05 but larger than 0.01. b. The corresponding p-value will be larger than 0.05. c. I can’t say anything about the corresponding p-value until I run the test.

Find the 95% confidence interval for the population mean given the following.  You  have a sample of n = 144 with a mean of 61.   You are also given the population standard deviation (σ) of 4.80.  (b) You have a random sample of 37 men and 37 women who have taken a test of mathematical skill. For the women, M = 72, SD = 4.4, while for men M = 68, SD = 6.8. What would be the 95% confidence interval for the population difference between men and women on this test?

A random sample of 93 observations produced a mean x = 25.5 and a standard deviation s 2.8. a. Find a 95% confidence interval for u. b. Find a 90% confidence interval for u. c. Find a 99% confidence interval for u.

Shown below is the confidence interval (CI) for the difference, µ, - H2, between two population means. Interpret the confidence interval. 90% Cl is from 20 to 30 Choose the correct answer below. O A. It can be said, with 90% confidence, that there is no significant difference between the value of Hj and the value of lz. Note that this means the difference between the two means may be zero O B. It can be said, with 90% confidence, that the value of u, is somewhere between 20 and 30 less than the value of h. Note that this means the difference between the two means is less than zero. O c. It can be said, with 90% confidence, that the value of u, is somewhere between 20 and 30 greater than the value of µ. Note that this means the difference between the two means is greater than zero O D. The true value of l, - H, lies somewhere between 20 and 30. Note that this means the difference between the two means is greater than zero.