Question

In: Statistics and Probability

If a sample containing 20 observations is taken from a normally distributed population and a 90%...

If a sample containing 20 observations is taken from a normally distributed population and a 90% confidence estimate for is needed, the appropriate t-score is  (Specify your answer to the 3rd decimal.)

Solutions

Expert Solution

df = n - 1 = 20 - 1 = 19

T-score for 90% confidence interval = t0.05,19 = 1.729 (ans)

                                                                                                                                                                                        


Related Solutions

A random sample of 11 observations taken from a population that is normally distributed produced a...
A random sample of 11 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, α=0.01. Use the t distribution table to find a range for the p-value. Round your answers for the values of t to three decimal places. a. H0: μ=46 versus H1: μ<46....
A sample of 18 observations taken from a normally distributed population produced the following data: 28.5...
A sample of 18 observations taken from a normally distributed population produced the following data: 28.5 27.5 25.3 25.3 31.3 23.3 26.2 24.5 28.3 37.4 23.9 28.8 27.5 25.5 27.1 25.5 22.7 22.7 Round your answers to three decimal places. a. What is the point estimate of μ? x¯=   b. Make a 90% confidence interval for μ. c. What is the margin of error of estimate for μ in part b? E=
A random sample of size n is taken from a normally distributed population with a population...
A random sample of size n is taken from a normally distributed population with a population standard deviation (σ ) of 11.6. The sample mean (x) is 44.6. Construct a 99% confidence interval about µ with a sample size of 26.
A simple random sample of 32 observations is derived from a normally distributed population with a...
A simple random sample of 32 observations is derived from a normally distributed population with a known standard deviation of 2.1. [You may find it useful to reference the z table.] a. Is the condition that X− is normally distributed satisfied? Yes No b. Compute the margin of error with 95% confidence. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) c. Compute the margin of...
A simple random sample of 17 observations is derived from a normally distributed population with a...
A simple random sample of 17 observations is derived from a normally distributed population with a known standard deviation of 3.5. [You may find it useful to reference the z table.] a. Is the condition that X−X− is normally distributed satisfied? Yes No b. Compute the margin of error with 99% confidence. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) Margin of error ______________ c....
A random sample of nequals9 values taken from a normally distributed population with a population variance...
A random sample of nequals9 values taken from a normally distributed population with a population variance of 16 resulted in the sample values shown below. Use the sample values to construct a 95​% confidence interval estimate for the population mean. 54 45 55 44 44 52 47 59 50 The 95​% confidence interval is -------.------- ​(Round to two decimal places as needed. Use ascending​ order.)
A) Suppose a random sample of size 22 is taken from a normally distributed population, and...
A) Suppose a random sample of size 22 is taken from a normally distributed population, and the sample mean and variance are calculated to be x¯=5.26 and s2=0.5respectively. Use this information to test the null hypothesis H0:μ=5 versus the alternative hypothesis HA:μ>5. a) What is the value of the test statistic t, for testing the null hypothesis that the population mean is equal to 5? Round your response to at least 3 decimal places. b) The P-value falls within which...
A random sample of 10 observations was drawn from a large normally distributed population. The data...
A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 21, 22, 19, 25, 19, 19, 21, 26, 21, 23    Test to determine if we can infer at the 3% significance level that the population mean is not equal to 22, filling in the requested information below. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form...
A random sample of 10 observations was drawn from a large normally distributed population. The data...
A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 20232221241926191923 Test to determine if we can infer at the 7% significance level that the population mean is not equal to 22, filling in the requested information below. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a) is expressed (-infty, a), an answer of the form...
A random sample of 10 observations was drawn from a large normally distributed population. The data...
A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 2019242326232524262620192423262325242626 Test to determine if we can infer at the 7% significance level that the population mean is not equal to 22, filling in the requested information below. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)(−∞,a) is expressed (-infty, a), an answer of the form...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT