Answer all the questions with complete solution

1. Which of the following is NOT a characteristics of t-distribution? :) Like the normal distribution, the t-distribution has a smooth shape. b) Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same. () Like a standard normal distribution (or z-distribution), the t-distribution has a mean of one. dj The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption. 2. This refers to the measure of position with data divided into 100 parts. a) Deciles bj Quartiles percentiles dj Median 3. This refers to the maximum number of logically independent values, which vary in the data sample. a) Level of significance bj Degree of freedom percentiles dj probability 4. What is the right-tailed area if the confidence interval is 759%? =) 0.05 bj 0.10 c) 0.005 d) 0.25 5. What will be the degree of freedom of the data whose sample size is 18? a) 20 bj 16 dj 17 5. What will be the degree of freedom whose t-value is 0.689? (e 17CJ 19 d) 20 Other: 7. Find the t-value of 2.5th percentile using the t-table with a degree of freedom of 6. a) 2.447 4.030 c) -2.447 -4.030 For number 8-10, use the given data below to answer the following questions. There are 9 students who will be taking up the test, the researcher sets the level of significance to 0.05. The following are the scores of the nine students: 23, 25, 25, 26, 27, 28, 30, 40, 45 6. What will be the t-value of the given problem? a) 1.729 bj 1.456 c) 1.860 d) 1.551 9. What will be the value of 25th percentile? a) 28 bj 26 27 d) 25 10. Using the t-table, give the t-value of 95th percentile a) 1.456 1.551 1.729 dj 1.860 Il. For numbers (11-15). fill out the table below.Percentile n 40th percentile 2 75th percentile 10 90th percentile 15 95th percentile 20 97.5th percentile 25