What is the test statistic?
t= ? and do we reject or not??
What is the test statistic? t= ? and do we reject or not?? Independent random samples...
Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Low Moderate High Moderate Moderately Severe Severe 1.2...
Independent random samples were selected from two normally distributed populations. Given n1 =7 from population 1 and n2=9 from population 2. Population 1: 2.5, 3.1, 2.3, 1.8, 4.2, 3.5, 3.9 Population 2: 2.9, 1.7, 4.6, 3.5, 3.7, 2.8, 4.6, 3.4, 1.9 Find the test statistic for H0 = σ2 = σ2 against HA = σ2 ≠σ2
Parametirc test or not:Test statistic:p-value:decision:Is There A Difference Between the Means?6.7 6.2 3.1 310.3 10 5 5.56.9 5.5 3.3 3.110.5 6.3 4.3 5.44.5 4.6 1.8 25.6 5.6 2 2.65.9 6.1 2.1 2.58 11.7 4 4.68 7.4 3.3 3.15.8 5.2 3.1 2.96 7.3 3.0 3.28.7 5.3 2.7 36 5.5 2.1 2.27.2 6.3 3.5 3.25.9 4.6 2.9 3.46 7.4 3 3.37.2 7.8 3.7 3.48.6 9.4 5.1 5.77.2 8.1 2.8 3.15.8 5.4 2.2 1.83.3 4 1.7 1.86.8 5.1 2 1.83.7 3.5 2.2 2.112...
A sociologist claims that children spent more time watching television in 1981 than children do today. A study was conducted in 1981 to find the time that children watched television on weekdays. Recently, a similar study was conducted. The results of these studies (in hours per weekday) are shown below. Assume the population standard deviation is 0.7 for 1981 and 0.7 for today. At α=0.05, can you support the sociologist's claim? Complete parts (a) through (d) below. 1981 3.2 1.4...
1b) The test statistic is closest to: Group of answer choices: a) t = -0.64 b) t = 0.64 c) t = 2.77 d) t = -2.77 e) t = 3.5 1c) The rejection region for the test is closest to: Group of answer choices: a) (-\infty ∞ , -1.729] \cup ∪ [1.729, \infty ∞ ) b) (-\infty ∞ , -1.645] \cup ∪ [1.645, \infty ∞ ) c) (-\infty ∞ , -1.645] d) (-\infty ∞ , -1.734] e) (-\infty ∞...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Sample Size Sample Mean Sample Variance Population 1 2 34 45 9.8 7.5 10.83 16.49 State the null and alternative hypotheses used to test for a difference in the two population means. O Ho: (41 - H2) = 0 versus Ha: (41 - M2) > 0 Ho: (41 – 12) # O versus Ha: (H1 - H2) = 0 HO: (41 – My)...
A random sample of leading companies in South Korea gave the following percentage yields based on assets. 2.1 2.3 4.2 1.9 0.5 3.6 2.4 0.2 1.7 1.8 1.4 5.4 1.1 Use a calculator to verify that s2 ≈ 2.125 for these South Korean companies. Another random sample of leading companies in Sweden gave the following percentage yields based on assets. 2.2 3.8 3.9 1.1 3.9 2.8 2.3 3.5 2.8 Use a calculator to verify that s2 ≈ 0.909 for these...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 F1 = 22.49 11 = 2.54 P1 = 15 Sample 2 F2 = 27.31 3 = 3.08 P2 = 18 Test the null hypothesis HO : H1 = 2 against the alternative hypothesis HA: MI <H2 a) To save you on calculations, I will tell you that the standard error of the difference in sample means (SE(X_1 bar - X_2 bar)) is...
Independent random samples of n = 150 and n = 150 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 68 successes, and sample 2 had 74 successes. You wish to perform a hypothesis test to determine if there is a difference in the sample proportions P, and py: (a) State the null and alternative hypotheses. O Ho: (P1 - P2) = 0 versus Ha: (P1-P2) < 0 O Ho: (2,-) < versus H: (2,-2)...
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. a. Assuming equal variances, conduct the test Ho (H1-H2) = 0 against Hy: (H1-H2) #0 using a = 0.10. b. Find and interpret the 90% confidence interval for (H1-H2) Sample 1 Sample 2 ny - 18 ng - 11 X2 7.8 X = 5.6 Sy = 3.1 82 4.7 a. Find the test statistic, The test statistic is (Round to two...