Calculate the critical value (Z alpha/2) for the following confidence intervals. This information may be helpful to reference later on the test. Hint: Draw a bell curve. 95% confidence interval a. invnorm (0.99,0,1) leads to Z alpha ?⁄ =±2.33 b. invnorm (0.975,0,1) leads to Z alpha ?⁄ =±1.96 c. invnorm (0.95,0,1) leads to z alpha ?⁄ =±1.645 d. invnorm(0.995,0,1) leads to z alpha ?⁄ =±2.58

Here are summary statistics for randomly selected weights of newborn​ girls: n=36​, x=3211.1​g, s=689.4g. Use a confidence level of 95​% to complete parts​ (a) through​ (d) below.   a. Identify the critical value tα/2 used for finding the margin of error.   tα/2=enter your response here ​(Round to two decimal places as​ needed.) Part 2 b. Find the margin of error.   E=enter your response here g ​(Round to one decimal place as​ needed.) Part 3 c. Find the confidence interval estimate of μ.   enter your response here g<μ<enter your response here g ​(Round to one decimal place as​ needed.) Part 4 d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.   A. One has 95​% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.   B. One has 95​% confidence that the sample mean weight of newborn girls is equal to the population mean weight of…

The data for a random sample of six paired observations are shown in the table. a. Calculatex and s b. Express μ in terms of μ, and μ₂- c. Form a 90% confidence interval for Hd. d. Test the null hypothesis Ho: H = 0 against the alternative hypothesis H₂: #0. Use α=0.10. a. Calculate the difference between each pair of observations by subtracting observation from observation 1. Find X- (Round to two decimal places as needed.) (-) Pair 1 2 5 6 Population 1 Sample (Observation 1) 5 12 11 6 3 3 Population 2 Sample (Observation 2) 3 Q

The minimum sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is A. 62 OB. 9 C. 8 O D. 61 A random sample of 64 observations has a mean of 30. The population variance is assumed to be 9. The 85.3% confidence interval estimate for the population mean (to the third decimal place) is O A. (28.369, 31.631) O B. (29.383, 30.617) O C. (29.456, 30.544) O D. (28.560, 31.440)