Answer: “The distribution of scores is normal or approximately normally distributed, the dependent variable(s) is (are) measured at interval or ratio levels, the groups examined for differences are dependent based on matching or subjects serving as their own control, and the differences between the paired scores are independent” are the assumptions for the t-test for dependent groups in a…
The t-test is a parametric analysis technique used to determine significant differences between the scores obtained from two groups. The t-test uses the standard deviation to estimate the standard error of the sampling distribution and examines the differences between the means of the two groups. Since the t-test is considered fairly easy to calculate, researchers often use it in determining differences between two groups. When interpreting the results of t-tests, the larger the calculated t ratio, in absolute value, the greater the difference between the two groups. The significance of a t ratio can be determined by comparison with the critical values in a statistical table for the t distribution using the degrees of freedom (df) for the study. The formula for df for an independent t-test is:…
Several assumptions for t-test for dependent/matched groups in a study are applied. First, it is assumed that the difference between the two groups of the dependent t-test is approximately or normally distributed. Second, the dependent variable is interval or ratio (continuous in nature). Third, any independent variable consists of one group or two “matched pair” groups. Finally, all subjects are assumed to have been surveyed the same and data collection was unbiased. The assumption that was met in this study is the normal distribution.…
H_a: μ 45 , a z-test for the mean will be used to test the given hypothesis.…
2. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic. true…
Question 2 – Which “t” test should be used – paired, unpaired/equal variance, unpaired/unequal variance?…
Write your hypothesis here. My hypothesis is whether there is a difference in the mean scores on the MCAT for men and women.…
I will use a = .05 as the significance level, and observing the sample size of n < 30 which tells me I need to use a Z-Test to find the mean of this test and the hypothesis. As the alternative hypothesis is Ha: u < $45,000, the given test is a one-tailed Z-Test.…
Teratogens are substances, including drugs, that cause malformations in the fetus (Zastrow & Kirst-Ashman, 2010, p.54).…
The experimental method of comparing the means of two or more groups is a pretty common occurrence in statistical research. The procedure for estimating and testing the hypothesis when using a single sample population will also apply in a case scenario with two or more groups or populations; however, modifications are required…
1. A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200).…
Assume 20% of all email is spam. A large Internet provider plans on conducting a survey of 900 emails to see what percentage are spam.…
which corresponds to a two-tailed independent samples t-test. Before performing a t-test, we need to test whether the variances can be assumed to be equal or not. We need to test…
References: Comparing a Population Mean to a Sample Mean (T-test) . (). Retrieved from http://www.acastat.com/Statbook/ttest1.htm…
Practice Question #1: A gambler claims he can predict the roll of a die more often than chance would predict. To test this, a die is rolled 100 times and the gambler guesses the number that comes up twenty times and guesses incorrectly the other eighty times. Is this strong evidence that the gambler’s claim is true?…