The formula used to calculate a confidence interval for the mean of a normal population when n is small is the following.X ± (t critical value)What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers totwo decimal places.)(a) 90% confidence, n = 171.75(b) 90% confidence, n = 131.78(c) 99% confidence, n = 242.81(d) 90% confidence, n = 23(e) 80% confidence, n = 13S(f) 95% confidence, n = 9

The question is about t critical value Introduction The critical value is the value of the test stat…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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K Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value f/2. (b) find the critical value Za/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=175, x= 33.2 hg, s= 6.9 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. ta/2 (Round to two decimal places as needed.) OB. Za127 (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.
The distribution of scores ona standardized test is approximately Normal with standard deviation of 14. If a sample of 75 students had a mean score of 75.8, use this to find 99% confidence interval for the mean score of all students on this test. we are 99% confident that the mean score of students on this test was in the interval ______ to _______ what is the margin of error for your confidence interval? margin of error=
Calculate the margin of error and construct the confidence interval for the population mean using the Student's t- distribution (you may assume the population data is normally distributed). T-Distribution Table a. x=85.3, n=64, s=16.5, 99% confidence E== Round to two decimal places if necessary <#< Round to two decimal places if necessary
# E DII C A previous study gave (0.11, 0.23) as a confidence interval for p. Find the minimum sample size required to ensure that your estimate (p) will be within 0.01 of p with 99% confidence. IMPORTANT: Use a critical value that you found with your calculator (not from a table), and round it to 3 places after the decimal point before you plug it into a formula and perform your calculations. Do not round-off any other intermediate results. n = F3 Submit Question $ 4 R F F4 V % 5 T J G F5 6 B Y H F6 & 7 X U N F7 - * PrtScn 8 F8 M K Home 9 F9 O End L F10 P Pg Alt
upper and lower limit
When computing a confidence interval for the population mean µ when the population SD a is known, what value of z* should be used for an 85% confidence interval? (The formula for the confidence interval is shown in the figure) (a) 1.26 (b) 1.96 (c) 1.44 (d) 1.84 (e) 1.64
Interpretation of the data. t = -3.4554, df = 6991, p-value = 0.0002763 alternative hypothesis: true mean is less than 50 95 percent confidence interval: -Inf 49.25556 sample estimates: mean of x 48.57909
nework: Chap A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is x = 850 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (b) Construct an interval estimate of u with 95% confidence, assuming that s 30. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s = 60. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases. The interval stays the same as s increases. The interval gets wider as s increases. O The interval gets narrower as s increases.
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