Find the positive critical value for testing Ho: = 14.22 versus Ha: 14.22 at significance level 0.1 for a sample of size 26. Round your final answer to three decimal places.
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- Find the positive critical value for testing Ho: for a sample of size 23. Round your final answer to three decimal places. 14.12 versus H: 14.12 at significance level 0.01Find the positive critical value for testing H0: μ = 4.19 versus Ha: μ ≠ 4.19 at significance level 0.2 for a sample of size 25. Round your final answer to three decimal places.A random sample of size n = 19 observations was drawn from a normal population with variance o? = 3.1. The sample mean was = 22.5. The researcher's interest was to defend that the population mean u > 25. What is the critical region (aka rejection region) for the test a = 0.05? Drawing a picture may be helpful. Draw your conclusion. Calculate the power of the test when the alternative value for u = 27.
- Consider the following computer output: Test of mu = 91 vs > 91 Variable N Mean StDev SE Mean x 20 92.379 0.717 0.16 What is the value of tcrit for a significance level of 0.01? Please report your answer in 3 decimal places.Suppose you want to test the claim that μ = 3.5. Given a sample size of n = 35 and a level of significance of a = 0.10 when should you reject Ho? This represents a The curve. hypothesis represents the claim. Reject Ho if the standardized test statistic is 10 orQ. 23 Given the nine sample values 4.5, 6.5, 3.8, 4.2, 7.7, 8.5, 9.4, 5.3, 3.9 from a normal distribution with mean μ and variance 4. Find the best critical region for testing Ho: μ = 4 vs. H₁: μ = 5 of size 0.05. Also calculate the power of the test.
- Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0 : µ = 4 versus Ha : µ > 4, where µ is the true mean radon level. (a) Describe a Type I error.(b) Give a consequence of making a Type I error. (c) Describe a Type II error.(d) Give a consequence of making a Type II error. (e) Which error is more serious? Why?You are conducting a study to see if the accuracy rate for fingerprint identification is significantly more than 0.25. Your sample data produce the test statistic z = 2.162. Find the p-value accurate to 4 decimal places.The police chief selects a sample of 49 local police officers from a population of officers with a mean physical fitness rating of 72 ± 7.0 (µ ± 0) on a 100-point physical endurance rating scale. He measures a sample mean physical fitness rating on this scale equal to 74. He conducts a one-independent sample z test to determine whether physical endurance increased at a .05 level of significance.