Question 6. Explore the Student's t-Distribution Let us use R to become familiar with the Student's t-distribution. For that you may have to use some of the following (R-inbuilt) functions: rt (n, df) ?rt # random generator for distribution # information on rt and its inputs Take 104 samples of a Student's t-distribution with 3 degrees of freedom. Use a morm plot to test the relation to a normal distribution. Comment on your result. Question 6. Explore the Student's t-Distribution...
a) We perform the Shapi f this ro-Wilk normality test to gather more information. The output o Shapiro-Wilk W test for normal dataProb>Z test is given below variable Obs 53 0.98 0.88 0.270.61 What is the p-value of this test? What is the conclusion? (3 credits) b) Assume that the distribution of the pH level is normal with ơ.1.20. Test H.: μ-7 versus H. : μ * 7 using a two-tailed test (significance level 0.01), (4 credits) Assume that the...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
The binomial distribution can be approximated by the Student's t-distribution when the following conditions are met: n 5 and n(1 - ) 5. True or False
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
A normality test (Anderson-Darling) is run on a dataset to see if it can be assumed to follow a normal distribution. What are the null and the alternate hypothesis, respectively? Give the specific wording for each hypothesis for a normality test, not for a generic hypothesis test. What can you conclude if the p-value of the test is 0.02? (What is the conclusion on the hypothesis? what can you say about the data?) What can you conclude if the p-value...
A study was designed to investigate the effects of two variables N (1) a student's level of mathematical anxiety and (2) teaching method N on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 400 with a standard deviation of 40 on a standardized test. Assuming no information concerning the shape of the distribution is known, what percentage of...
For the goodness-of-fit test for normality, the null and alternative hypotheses are Multiple Choice He: Data follows a normal distribution, HA: Data are skewed left He: Data follows a normal distribution, HA: Data are skewed right He: Data does not follow a normal distribution, HA: Data follows a normal distribution He: Data follows a normal distribution, HA: Data does not follow a normal distribution
using the t distribution to conduct a test is better than using a z test as the z test requires the researcher to know the population variances. true or false
Determine the critical t-scores for each of the conditions below. a) one-tail test, a=0.01, and n=18 b) one-tail test, c = 0.005, and n = 40 c) two-tail test, a = 0.02, and n=22 d) two-tail test, a 0.05, and n=25 Click here to view page 1 of the Student's t-distribution table. Click here to view page 2 of the Student's t-distribution table.