Find critical value for two tailed t test. n= 29 Level of significance = 0.10
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Find critical value for two tailed t test.
n= 29
Level of significance = 0.10
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- What are the critical values for a two-tailed test with a 01 level of significance when the population standard deviation is known? Multiple Choice Above 1.960 and below -1960 Above 1.645 and below -1645 Above 2.576 and below -2.576 Above 1.000 and below -1.000 Next> 5 of 10 Prev < earchThe average number of accidents at controlled intersections per year is 5.1. Is this average a different number for intersections with cameras installed? The 59 randomly observed intersections with cameras installed had an average of 5 accidents per year and the standard deviation was 1.32. What can be concluded at the α = 0.05 level of significance? For this study, we should use ________ (t-test or z-test) The null and alternative hypotheses would be: H0: H1: The test statistic (t or z) = _____ (please show your answer to 3 decimal places.) The p-value = ______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should ________ the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly different from 5.1 at α = 0.05, so there is statistically insignificant evidence to conclude that the population mean number of accidents per…Rapid Eye Movement (REM) sleep is the sleep when a person has dreams. A researcher wants to investigate whether children have more REM than adults. She selects a random sample of 10 children and obtained a mean of 2.9 hours and standard deviation of 0.48 hours for the duration of REM sleep. She also selected a random sample of 10 adults and the mean and standard deviation of the duration of their REM sleep 8. were 2.1 hours and 0.68 hours. A. than the average REM for adults? Use the p-value method. At a = 0.05, is there enough evidence to conclude that the average REM for children is higher В. Find the 95% confidence interval for the difference between the average REM for children and the average REM for adults. Interpret your results.
- Find test statistics and p-valueA random sample of n, = 49 measurements from a population with population standard deviation o, = 3 had a sample mean of x, = 9. An independent random sample of n, = 64 measurements from a second population with population standard deviation o, = 4 had a sample mean of x, = 11. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. O Ho: H1 = H2; H;:H,…Please detailly explain
- A normal random variable X is having mean 99 and standard deviation 5.78. What is p(X>78)? Round to 4 decimalsDo men have a higher body temperature than women? Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. The table shows results from a study of body temperatures of men and women. At the 0.05 significance level, test the claim that men have a higher body temperature than women. Men Women n1 = 13 n2 = 16 xˉx̄1 = 97 °F xˉx̄2 = 95.17 °F s1 = 0.26 °F s2 = 0.57 °F What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ μ₁ p p₂ μ₂ μ μ(men) p̂₁ x̄₁ σ₁² p₁ s₁² ? > < ≥ ≠ ≤ = Select an answer p̂₁ p₁ μ μ₁ p x̄₁ μ₂ s₁² x̄₂ μ(women) σ₁² p₂ H1: Select an answer σ₂² μ p̂₂ p₁ p p₂ x̄₁ μ(men) x̄₂ μ₂ μ₁ s₂² ? = ≤ > < ≥ ≠ Select an answer s₁² x̄₁ μ₂ μ p̂₁ x̄₂ σ₁² μ(women) p₁ p p₂ μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find…State the null hypothesis, the test statistic, one or two tailed?, decision rule for rejecting null hypothesis and make the decision to reject or fail to reject