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.…
1. What are the two groups whose results are reflected by the t ratios in Tables 2 and 3?…
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:…
What are the two groups whose results are reflected by the t ratios in Tables 2 and 3?…
H_a: μ 45 , a z-test for the mean will be used to test the given hypothesis.…
There is a normal distribution of the data with ranges in size from size 5 to size 14 amongst the participants. With these ranges, the mean is 9.142, with a standard deviation of 2.583 and a variance of 6.670. Appendix B: Male vs. Female data sets, show the mean, standard deviation and variance for both of these sets respectively. Female data sets have a mean of 7.111, standard deviation of 1.131, and a variance of 1.281 whereas the males have a mean of 11.294, a standard deviation of 1.803, and a variance of 3.251. The T-test was applied to these two data sets to obtain a result of (2-tailed): 1.4964E-09. Since both of the data sets (females and males) each have less than 30 samples, the t-Test was chosen. Assuming equal…
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?…
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.…
Z and T test are used when testing the hypothesis. When the hypothesis uses proportions you use the z test. When the hypothesis uses means you use the T test.…
Date: Frequency 1 2 2 1 Directions: Answer all problems and submit to instructor at the end of module 1 3 6 4 7 5 4 6 4 7 1 8 1 More 0 Q1…
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?…
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…
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).…